MQM100_MultipleChoice_Chapter9

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HYPOTHESIS TESTS (One Population): CHAPTER - 9

1. In hypothesis testing, Type I error occurs when we:

a. reject a false null hypothesis

b. reject a true null hypothesis

c. don’ t reject a false null hypothesis

d. don’ t reject a true null hypothesis

2. In hypothesis testing, Type II error is defined as:

a. rejecting a true null hypothesis

b. rejecting a false null hypothesis

c. not rejecting a true null hypothesis

d. not rejecting a false null hypothesis

3. In hypothesis testing, the null hypothesis is a claim about a:

a. population parameter that is assumed to be false until it is declared

true

b. population parameter that is assumed to be true until it is declared

false

c. sample statistic that is assumed to be false until it is declared true

d. sample statistic that is assumed to be true until it is declared false

4. Whenever the null hypothesis is not rejected, the alternative hypothesis:

a. is rejected

b. is not rejected

c. must be modified

d. is true

5. In hypothesis testing, the probability of a Type I error is denoted by:

a. β

b. 1-β

c. α

d. 1- α

6. In hypothesis testing, the alternative hypothesis is a claim about a:

a. population parameter that is assumed to be true until it is declared

false

b. population parameter that will be true if the null hypothesis is false

c. sample statistic that will be true if the null hypothesis is false

d. sample statistic that is assumed to be false until it is declared true

7. In a one-tailed test of hypothesis, the critical point is a point that divides the

area under the sampling distribution:

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a. into one rejection and one nonrejection regions

b. into two rejection and two nonrejection regions

c. into one rejection and two nonrejection regions

d. into two rejection and one nonrejection regions

8. In hypothesis testing, the probability of a Type II error is denoted by:

a. α b. β

c. 1-α

d. 1-β

9. In a two-tailed test of hypothesis, the two critical points divide the area under

the sampling distribution:

a. into two rejection and one nonrejection regions

b. into two rejection and two nonrejection regions

c. into one rejection and two nonrejection regions

d. into one rejection and one nonrejection regions

10. In a test of hypothesis, the Type I error occurs when:

a. a false null hypothesis is rejected

b. a true null hypothesis is not rejected

c. a false null hypothesis is not rejected

d. a true null hypothesis is rejected

11. In hypothesis testing, the power of a test is the probability that it will lead us to:

a. reject the null hypothesis when it is true

b. reject the null hypothesis when it is false

c. fail to reject the null hypothesis when it is true

d. fail to reject the null hypothesis when it is false

12. In a test of hypothesis, the Type II error occurs when:

a. a false null hypothesis is rejected

b. a true null hypothesis is not rejected

c. a false null hypothesis is not rejected

d. a true null hypothesis is rejected

13. In a test of hypothesis, the probability of committing a Type I error is called the:

a. confidence level

b. confidence interval

c. significance level

d. beta error

14. In hypothesis testing, the power of a test is denoted by:

a. α b. β

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c. 1-α

d. 1-β

15. In hypothesis testing, one-tailed test of hypothesis contains:

a. one rejection region and two nonrejection regions

b. two rejection regions and one nonrejection region

c. two rejection regions and two nonrejection regions

d. one rejection and one nonrejection region

16. In hypothesis testing, two-tailed test of hypothesis contains:

a. one rejection region and two nonrejection regions

b. two rejection regions and one nonrejection region

c. two rejection regions and two nonrejection regions

d. one rejection and one nonrejection region

17. In hypothesis testing, if we reject the null hypothesis, we conclude that:

a. there is enough statistical evidence to infer that the alternative

hypothesis is true

b. there is not enough statistical evidence to infer that the alternative

hypothesis is true

c. there is enough statistical evidence to infer that the null hypothesis is

true

d. d. the test is statistically insignificant at whatever level of significance

the test was conducted at

18. In a left-tailed test of hypothesis, the sign in the alternative hypothesis is:

a. not equal to (≠)

b. greater than (>)

c. less than (<)

d. less than or equal to (≤)

19. In a right-tailed test of hypothesis, the sign in the alternative hypothesis is:


b. greater than (>)

c. less than (<)

d. greater than or equal to (≥)

20. In a given hypothesis test, the null hypothesis can be rejected at the .10 and .05

level of significance, but cannot be rejected at the .01 level. The most accurate

statement about the p-value for this test is:

a. p-value = .01

b. p-value = .10

c. .01 < p-value < .05

d. .05 < p-value < .10

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21. In a two-tailed test of hypothesis, the sign in the alternative hypothesis is:


b. greater than (>)

c. less than (<)

d. equal to (=)

22. In hypothesis testing, if we do not reject the null hypothesis, we conclude that:

a. there is enough statistical evidence to infer that the alternative

hypothesis is true

b. there is not enough statistical evidence to infer that the alternative

hypothesis is true

c. there is enough statistical evidence to infer that the null hypothesis is

true

d. the test is statistically insignificant at whatever level of significance

the test was conducted at

23. A professor at ISU wants to test if the mean price of houses in an area is greater

than $145,000. The alternative hypothesis for this example will be that the

population mean is:

a. equal to $145,000

b. not equal to $145,000

c. greater than or equal to $145,000

d. greater than $145,000


than $175,000. The null hypothesis for this example will be that the population

mean is:

a. less than or equal to $175,000

b. not equal to $175,000

c. greater than or equal to $175,000


25. In hypothesis testing, which of the following statements is (are) not true?

a. The probability of making a Type II error increases as the power of

the test decreases

b. The probability of making a Type II error and the level of significance

are the same

c. The power of the test decreases as the probability of making a Type II

error increases

d. The probability of making a Type I error and the level of significance

are the same

26. A professor at ISU wants to test if the mean annual salary of all doctors in

Bloomington is different from $110,000. The alternative hypothesis for this

example will be that the population mean is:

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b. less than $110,000

c. not equal to $110,000



Bloomington is different from $130,000. The null hypothesis for this example will

be that the population mean is:


b. less than $130,000

c. not equal to $130,000


28. In a one-tail test, the p-value is found to be equal to .068. If the test had been

two-tail, the p-value would have been:

a. .932

b. .466

c. .034

d. .136

29. A professor at ISU wants to test if elementary school children spend less than 30

minutes per day on homework. The alternative hypothesis for this example will

be that the population mean is:

a. equal to 30 minutes

b. not equal to 30 minutes

c. less than or equal to 30 minutes

d. less than 30 minutes

30. A professor at ISU wants to test if elementary school children spend less than 35

minutes per day on homework. The null hypothesis for this example will be that

the population mean is:

a. greater than or equal to 35 minutes

b. not equal to 35 minutes

c. less than or equal to 35 minutes

d. less than 35 minutes

31. If the value of the sample mean X is close enough to the hypothesized value of

the population mean µ, then:

a. the hypothesized value is definitely true

b. the hypothesized value is definitely false

c. we reject the null hypothesis

d. we don’ t reject the null hypothesis

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32. In a test of hypothesis, the null hypothesis is that the population mean is greater

than or equal to 80 and the alternative hypothesis is that the population mean is

less than 80. The test is to be made at the 1% significance level. A sample of 100

elements selected from this population produced a mean of 74 and a standard

deviation of 12. What is the critical value of z?

a. 2.33

b. 2.58

c. – 2.33

d. – 2.58

33. In hypothesis testing, we cannot commit a Type I error when the:

a. null hypothesis is true

b. level of significance is .10

c. null hypothesis is false

d. test is a two-tail test




elements selected from this population produced a mean of 74 and a standard

deviation of 12. What is the value of the observed test statistic, z?

a. 4.78

b. 5.00

c. – 5.00

d. – 4.78

35. In a test of hypothesis, the null hypothesis is that the population mean is less


greater than 45. The test is to be made at the 2.5% significance level. A sample

of 81 elements selected from this population produced a mean of 47.3 and a

standard deviation of 4.5. What is the critical value of z?

a. – 1.96

b. 2.24

c. 1.96

d. – 2.24

36. In hypothesis testing, if the p-value (observed significance level) of a test is:

a. less than α, the null hypothesis can be rejected

b. greater than α, the null hypothesis can be rejected

c. less than α, the null hypothesis can not be rejected

d. less than α, the null hypothesis true

37. In hypothesis testing,, the null hypothesis is that the population mean is less


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greater than 45. The test is to be made at the 2.5% significance level. A sample

of 81 elements selected from this population produced a mean of 47.3 and a

standard deviation of 4.5. What is the value of the observed test statistic, z?

a. – 2.75

b. 4.60

c. 3.84

d. 5.80

38. In hypothesis testing, the rejection region for testing 100:0 =µH 100: ≠µaH at

the 5% level of significance is:

a. |z| < .95

b. |z| > 1.96

c. z > 1.645

d. z < 2.33

39. In a test of hypothesis, the null hypothesis is that the population mean is equal to

24 and the alternative hypothesis is that the population mean is not equal to 24.

The test is to be made at the 5% significance level. A sample of 36 elements

selected from this population produced a mean of 22.6 and a standard deviation

of 3.3. What are the critical values of z?

a. – 2.07 and 2.07

b. – 1.65 and 1.65

c. – 1.96 and 1.96

d. – 2.17 and 2.17




selected from this population produced a mean of 22.6 and a standard deviation

of 3.3. What is the value of the observed test statistic, z?

a. 2.55

b. 3.15

c. – 2.55

d. – 3.15

41. In hypothesis testing, the rejection region for testing 150:0 ≥µH 150: <µaH at

the 10% level of significance is:

a. z > 1.96

b. z < .90

c. z > -1.645

d. z < -1.28

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elements selected from this population produced a mean of 133.8 and a standard

deviation of 22.4. What is the critical value of z?

a. 2.17

b. – 2.38

c. – 2.05

d. 2.47




elements selected from this population produced a mean of 133.8 and a standard

deviation of 22.4. What is the value of the observed test statistic, z?

a. – 1.93

b. – .79

c. 2.08

d. – 2.25

44. In hypothesis testing, the level of significance can be:

a. any value between – 1.04 and 1.04

b. any positive value

c. any value smaller than 1.645

d. None of the above answers is correct



greater than 50. The test is to be made at the 1% significance level. A sample of

121 elements selected from this population produced a mean of 58 and a

standard deviation of 16.5. What is the critical value of z?

a. 2.07

b. 2.33

c. – 2.58

d. – 1.96



greater than 50. The test is to be made at the 1% significance level. A sample of

121 elements selected from this population produced a mean of 58 and a

standard deviation of 16.5. What is the value of the observed test statistic, z?

a. – 3.67

b. 6.45

c. – 5.98

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d. 5.33

47. The p-value criterion for hypothesis testing is to reject the null hypothesis if:

a. p-value = α

b. p-value < α

c. p-value > α

d. -α < p-value < α




selected from this population produced a mean of 84 and a standard deviation of

8. What is/are the critical value/values of z?

a. 1.96

b. – 1.645 and 1.645

c. – 1.28 and 1.28

d. – 2.07




selected from this population produced a mean of 84 and a standard deviation of

8. What is the value of the observed test statistic, z?

a. 5.70

b. – 3.50

c. – 7.50

d. 2.35

50. In hypothesis testing, to determine the p-value, which of the following is not

needed?

a. The level of significance

b. Whether the test is one or two tail

c. The value of the observed test statistic

d. none of the above are needed


than $145,000. The test is to be made at the 2% significance level. A sample of

36 houses selected from this area produced a mean price of $149,750 and a

standard deviation of $24,600. What is the critical value of z?

a. 2.17

b. 1.96

c. 2.05

d. 2.58


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than $145,000. The test is to be made at the 2% significance level. A sample of

36 houses selected from this area produced a mean price of $149,750 and a

standard deviation of $24,600. What is the value of the observed test statistic, z?

a. 2.86

b. 1.16

c. 4.09

d. 6.28

53. In testing the hypotheses 50:0 =µH 50: ≠µaH the following information is

known: n = 64, X = 53.5 and σ = 10. The observed test statistic equals

a. 1.96

b. – 2.8

c. 2.8

d. – 1.96


Bloomington is different from $110,000. The test is to be made at the 5%

significance level. A sample of 49 doctors selected from this city gave a mean

annual salary of $118,400 and a standard deviation of $14,700. What is/are the

critical value/values of z?

a. 2.17

b. – 1.96 and 1.96

c. – 2.05 and 2.05

d. 2.58


Bloomington is different from $110,000. The test is to be made at the 5%

significance level. A sample of 49 doctors selected from this city gave a mean

annual salary of $118,400 and a standard deviation of $14,700. What is the value

of the observed test statistic, z?

a. 3.64

b. 2.91

c. 4.00

d. 5.27

56. A professor at ISU wants to test if the elementary school children spend less

than 30 minutes per day on homework. The test is to be made at the 1%

significance level. A sample of 64 children selected from this school showed that

they spend an average of 25.6 minutes per day on home work with a standard

deviation of 4 minutes. What is the critical value of z?

a. – 2.07

b. – 2.33

c. – 2.58

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d. – 1.65

57. In testing the hypothesis 75:0 ≥µH 75: <µaH if the value of the test statistic

equals – 2.42, then the p-value is:

a. .4922

b. 2.420

c. .9922

d. .0078

58. A professor at ISU wants to test if the elementary school children spend less

than 30 minutes per day on homework. The test is to be made at the 1%

significance level. A sample of 64 children selected from this school showed that

they spend an average of 25.6 minutes per day on home work with a standard

deviation of 4 minutes. What is the value of the observed test statistic, z?

a. – 4.57

b. – 8.80

c. – 2.65

d. – 3.50

59. In hypothesis testing, the p-value is the:

a. largest significance level at which the null hypothesis can be rejected

b. largest significance level at which the alternative hypothesis can be

rejected

c. smallest significance level at which the null hypothesis can be rejected

d. smallest significance level at which the alternative hypothesis can be

rejected

60. In hypothesis testing for a one-tailed test, the p-value is given by:

a. the area under the curve between the mean and the observed value of

the sample statistic

b. twice the area under the curve between the mean and the observed

value of the sample statistic

c. the area in the tail beyond the observed value of the sample statistic

d. twice the area in the tail beyond the observed value of the sample

statistic

61. In hypothesis testing for a two-tail test, the null hypothesis will be rejected at

the .05 level of significance if the value of the observed test statistic is:

a. smaller 1.96

b. greater than – 1.96

c. smaller than – 1.96

d. smaller than 1.645

62. In hypothesis testing for a two-tailed test, the p-value is given by:

a. the area under the curve between the mean and the observed value of

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the test statistic

b. twice the area under the curve between the mean and the observed

value of the test statistic

c. the area in the tail beyond the observed value of the test statistic

d. twice the area in the tail beyond the observed value of the test statistic



A sample of 36 elements selected from this population produced a mean of 63

and a standard deviation of 6.3. What is the approximate p-value for this test?

a. .0347

b. .0042

c. .0021

d. .0952


37 and the alternative hypothesis is that the population mean is less than 37. A

sample of 81 elements selected from this population produced a mean of 35.49


a. .0060

b. .0235

c. .0015

d. .0030

65. In hypothesis testing, if a hypothesis is not rejected at the 0.10 level of

significance, it:

a. must be rejected at the .05 level

b. may be rejected at the .05 level

c. will not be rejected at the .05 level

d. must be rejected at the .025 level


125 and the alternative hypothesis is that the population mean is greater than

125. A sample of 100 elements selected from this population produced a mean of

129.9 and a standard deviation of 17. What is the approximate p-value for this

test?

a. .0020

b. .0200

c. .0040

d. .0080



A sample of 49 elements selected from this population produced a mean of 72.8


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a. .0708

b. .0354

c. .1416

d. .2832


140 and the alternative hypothesis is that the population mean is less than 140. A

sample of 100 elements selected from this population produced a mean of 134


a. .0146

b. .0292

c. .0073

d. .0584

69. In testing the hypothesis 75:0 =µH 75: ≠µaH , if the value of the observed

test statistic equals 1.75, then the p-value is:

a. .0401

b. .0802

c. .4599

d. .9198


90 and the alternative hypothesis is that the population mean is greater than 90.


and a standard deviation of 6. What is the p-value for this test?

a. .0164

b. .0328

c. .0082

d. .0041

71. The t distribution is used to make a test of hypothesis about the population mean

if the population from which the sample is drawn is (approximately) normally

distributed, the population standard deviation is not known, and the sample size

is:

a. at least 30

b. less than 100

c. less than 30

d. 30 or less

72. In hypothesis testing, if a hypothesis is rejected at the .025 level of significance,

it:

a. must be rejected at any level

b. must be rejected at the .01 level

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c. must not be rejected at the .01 level

d. may be rejected or not rejected at the .01 level

73. Which of the following conditions is not required to use the t distribution to make

a test of hypothesis about the population mean?

a. The population from which the sample is drawn is (approximately)

normally distributed

b. The sample size is less than 30

c. The population from which the sample is drawn has a t distribution

d. The population standard deviation is not known



greater than 54. A sample of 24 elements selected from this population produced

a mean of 61 and a standard deviation of 6.3. The significance level is 2.5%. what

is the critical value of t?

a. – 2.093

b. 2.500

c. 2.064

d. 2.069

75. In hypothesis testing, the power of a test is the probability of making:

a. a correct decision when the null hypothesis is false

b. a correct decision when the null hypothesis is true

c. incorrect decision when the null hypothesis is false

d. incorrect decision when the null hypothesis is true



greater than 54. A sample of 24 elements selected from this population produced

a mean of 61 and a standard deviation of 6.3. The significance level is 2.5%. what

is the value of the observed test statistic, t?

a. 3.678

b. – 7.231

c. 5.443

d. – 4.985




and a standard deviation of 12.54. The significance level is 2%. What are the

critical values of t?

a. – 2.583 and 2.583

b. – 2.602 and 2.602

c. – 1.341 and 1.341

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d. – 2.131 and 2.131




and a standard deviation of 12.54. The significance level is 2%. What is the value

of the observed test statistic, t?

a. 2.846

b. – 1.037

c. – 3.562

d. – 5.604

79. In hypothesis testing, Type II error is committed if we make:


b. correct decision when the null hypothesis is true





less than 74. A sample of 20 elements selected from this population produced a

mean of 68.5 and a standard deviation of 6.4. The significance level is 1%. What

is the critical value of t?

a. – 2.528

b. – 1.328

c. – 2.539

d. 3.733



less than 74. A sample of 20 elements selected from this population produced a

mean of 68.5 and a standard deviation of 6.4. The significance level is 1%. What

is the value of the observed test statistic, t?

a. 6.372

b. – 4.076

c. – 2.509

d. – 3.843

82. In hypothesis testing, Type I error is committed if we make:


b. correct decision when the null hypothesis is true



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83. A Peoria company that manufactures light bulbs claims that its light bulbs last an

average of 1150 hours. A sample of 25 light bulbs manufactured by this company

gave a mean life of 1090 hours with a standard deviation of 85 hours. The

significance level is 5%. A consumer research group wants to test the hypothesis

that the mean life of light bulbs manufactured by this company is less than 1150

hours. What is the critical value of t?

a. – 1.708

b. – 1.711

c. – 2.797

d. 1.711

84. A Peoria company that manufactures light bulbs claims that its light bulbs last an

average of 1150 hours. A sample of 25 light bulbs manufactured by this company

gave a mean life of 1090 hours with a standard deviation of 85 hours. The

significance level is 5%. A consumer research group wants to test the hypothesis

that the mean life of light bulbs manufactured by this company is less than 1150

hours. What is the value of the observed test statistic, t?

a. – 3.529

b. – 1.835

c. – 2.607

d. 3.529

85. In a test of hypothesis, the null hypothesis is that the population proportion is

equal to .64 and the alternative hypothesis is that the population proportion is

different from .64. The test is to be made at the 1% significance level. What are

the critical values of z?

a. – 2.33 and 2.33

b. – 2.575 and 2.575

c. – 2.17 and 2.17

d. – 2.07 and 2.07

86. In hypothesis testing, which of the following p-values will lead us to reject the

null hypothesis if the level of significance equals .05?

a. .15

b. .10

c. .05

d. .025


less than or equal to .39 and the alternative hypothesis is that the population

proportion is greater than .39. The test is to be made at the 1% significance

level. A sample of 500 elements selected from this population produced a sample

proportion of .44. What is the critical value of z?

a. 2.33

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b. 2.58

c. 1.96

d. 2.07



proportion is greater than .39. The test is to be made at the 1% significance

level. A sample of 500 elements selected from this population produced a sample

proportion of .44. What is the value of the observed test statistic, z?

a. 5.68

b. 3.91

c. 2.29

d. 1.74

89. A professor of statistics at ISU refutes the claim that the average student spends

3 hours studying for the midterm exam. Which hypothesis is used to test the

claim?

a. 3:0 ≠µH

3: >µaH

b. 3:0 =µH

3: ≠µaH

c. 3:0 ≠µH

3: =µaH

d. 3:0 =µH

3: <µaH


greater than or equal to .76 and the alternative hypothesis is that the population

proportion is less than .76. The test is to be made at the 5% significance level. A

sample of 1000 elements selected from this population produced a sample


a. – 2.33

b. – 1.645

c. – 1.96

d. – 2.07






a. – 11.43

b. – 4.37

c. – 9.63

d. – 15.81

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different from .26. The test is to be made at the 5% significance level. A sample

of 800 elements selected from this population produced a sample proportion of

0.21. What are the critical values of z?

a. – 2.33 and 2.33

b. – 1.96 and 1.96

c. – 2.17 and 2.17

d. – 2.07 and 2.07

93. In hypothesis testing, suppose that we reject a null hypothesis at the .05 level of

significance. Then for which of the following α −values do we also reject the null

hypothesis?

a. .06

b. .04

c. .03

d. .02



different from .26. The test is to be made at the 5% significance level. A sample

of 800 elements selected from this population produced a sample proportion of

.21. What is the value of the observed test statistic, z?

a. 3.22

b. – 3.22

c. 4.57

d. – 4.57



proportion is greater than .58. The test is to be made at the 2.5% significance

level. A sample of 1200 elements selected from this population produced a

sample proportion of .62. What is the critical value of z?

a. 1.96

b. 2.58

c. 2.33

d. 2.07



proportion is greater than .58. The test is to be made at the 2.5% significance

level. A sample of 1200 elements selected from this population produced a

sample proportion of .62. What is the value of the observed test statistic, z?

a. 4.71

b. 1.92

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c. 3.64

d. 2.81

97. In hypothesis testing, the critical values zα or zα /2 are the boundary values for

the:

a. rejection region(s)

b. sample mean

c. power of the test

d. type II error

98. In hypothesis testing, the null hypothesis is that the population proportion is





a. – 1.96

b. – 1.65

c. – 2.17

d. – 2.33






a. – 7.23

b. – 2.65

c. – 1.87

d. – 4.32

100. In hypothesis testing, if the power of a hypothesis test is .96. Which of the

following statements is true about this test?

a. The probability of a Type II error is .04.

b. The probability of a Type I error is .04.

c. The probability of a Type II error is .96.

d. The probability of a Type I error is .96.

101. Using the confidence interval approach when conducting a two-tail test for the

population mean we do not reject the null hypothesis if the (null) hypothesized

value for µ:

a. is to the left of the lower confidence limit (LCL)

b. is to the right of the upper confidence limit (UCL)

c. falls between the LCL and UCL

d. falls outside the LCL and UCL

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102. A study conducted in year 2002 found that the mean number of children under

18 per household in a certain community was 1.7. A statistician is trying to

determine whether this number has changed in the last 6 years. She declares the

null and alternative hypotheses to be:

H0: The mean number of children per household in 2002 is equal to 1.7;

Ha: The mean number of children per household in 2002 is not equal to 1.7.

Which of the following statements is true about this test?

a. This is a right-tailed test.

b. This is a left-tailed test.

c. This is a two-tailed test.

d. This is a step-tailed test.

103. Director of a radio broadcasting company in Peoria wants to determine whether

the mean length of commercials on his station is greater than 24 seconds. He

samples 200 commercials, and finds that the average length of these

commercials is 26.3 seconds, with a standard deviation of 7.2 seconds. He uses a

significance level of 5%. What is the value of the observed test statistic?

a. .32

b. – .32

c. 4.52

d. 63.89

104. In a two-tail test for the population mean, if the null hypothesis is rejected

when the alternative hypothesis is true,

a. a Type I error is committed

b. a Type II error is committed

c. a correct decision is made

d. a one-tail test should be used instead of a two-tail test

105. A toy store manager in Chicago has received his first shipment of a certain

type of toy, and is trying to decide whether $26.50 is an acceptable price to

charge for this toy. He samples 40 other stores that already sell this toy, and

finds that the average price for the 40 stores is $24.63, and the standard

deviation is $6.12. He will decide that $26.50 is acceptable if he finds that it is

close to the average price for all stores in the U.S (i.e., he would like to find that

the price is not equal to $26.5). Which of the following statements is true?

a. If α = .10, then he will reject the null hypothesis, but if α = .05, then he

will not reject it.

b. If α = .05, then he will reject the null hypothesis, but if α = .02, then he

will not reject it.

c. If α = .02, then he will reject the null hypothesis, but if α = .01, then he

will not reject it.

d. If α = .01, then he will reject the null hypothesis.

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106. Hundred thousand people across the U.S. are to take part in a Spring Clean-Up

day along highways near their hometowns. The goal is to have each person

collect an average of 50 lb. or more of garbage. In Normal community, 49 people

are participating. They collect an average of 47.25 lb. between them, with a

standard deviation of 8.75 lbs. You will use this community as the sample in

testing whether the goal is reached. What is the p-value for a lower-tail test?

a. .0139

b. .0278

c. .0366

d. .0404

107. In a one-tail test for the population mean, if the null hypothesis is not rejected

when the alternative hypothesis is true,

a. a Type I error is committed

b. a Type II error is committed

c. a two-tail test should be used instead of a one-tail test

d. a two-tail test should be used instead of a one-tail test

108. The principal at University High School has claimed that the mean IQ of all

students at the school is 125. The superintendent of schools wants to test this

claim. She checks the files of 36 University High students at random, and finds

that the mean IQ among these students is 124.8, with a standard deviation of .6.

She uses a null hypothesis of µ ≥ 125, where µ is the mean IQ of all students at

University High. What is the smallest observed significance level at which the

null hypothesis will be rejected?

a. .0162

b. .0183

c. .0207

d. .0228

109. In quality control department, the mechanic at a manufacturing plant has made

the claim that his machine will make, on average, no more than four defective

parts per hour. Over a period of 16 hours, the machine makes an average of 4.6

defective parts per hour, with a standard deviation of 0.8 parts per hour. If you

were to test the mechanic's claim, what would be the value of the observed test

statistic?

a. – 3.0000

b. – .3594

c. 3.0000

d. .3594

110. In hypothesis testing, whatever we are investigating or researching is specified

as:

a. the null hypothesis

b. the alternative hypothesis

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c. either the null or alternative

d. the p-value

111. The manager of a fund that provides loans for college students has estimated

that the average monthly loan repayment for students borrowing from the fund is

$75.00. You are to test (or challenge) this estimate. You take a sample of 20

students and find that the mean monthly payment is $69.46 with a standard

deviation of $9.78. Which of the following statements is true about this test?

a. The value of the observed test statistic is – 2.53; therefore, the null

hypothesis is rejected for α = .05 but not for α = .01.

b. The value of the observed test statistic is – .57; therefore, the null

hypothesis is rejected for α = .05 but not for α = .01.

c. The value of the observed test statistic is – 2.53; therefore, the null

hypothesis is rejected for α = .01.

d. The value of the observed test statistic is – .57; therefore, the null

hypothesis is rejected for α = .02.

112. In a two-tail test for the population mean, the null hypothesis will be rejected

at � level of significance if the value of the standardized test statistic z is such

that:

a. z > zα

b. z < - zα

c. - zα < z < zα

d. |z| > zα /2

113. An Economist at the University of Chicago stated that the average amount of

money spent on Christmas gifts for immediate family members per household is

above $1200. The correct set of hypotheses is:

a. 1200:0 =µH 1200: <µaH b. 1200:0 >µH 1200: <µaH c. 1200:0 ≤µH 1200: >µaH d. 1200:0 <µH 1200: =µaH

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ANSWER KEY:

1. b

2. d

3. a

4. a

5. c

6. b

7. a

8. b

9. a

10. d

11. b

12. c

13. c

14. d

15. d

16. b

17. a

18. c

19. b

20. c

21. a

22. b

23. d

24. a

25. b

26. c

27. a

28. d

29. d

30. a

31. d

32. c

33. c

34. c

35. c

36. a

37. b

38. b

39. c

40. c

41. d

42. c

43. b

44. d

45. b

46. d

47. b

48. b

49. c

50. a

51. c

52. b

53. c

54. b

55. c

56. b

57. d

58. b

59. c

60. c

61. c

62. d

63. b

64. c

65. c

66. a

67. c

68. a

69. b

70. c

71. c

72. d

73. c

74. d

75. a

76.c

77. b

78. b

79. c

80. c

81. d

82. d

83. b

84. a

85. b

86. d

87. a

88. c

89. b

90. b

91. c

92. b

93. a

94. b

95. a

96. d

97. a

98. d

99. b

100. a

101. c

102. c

103. c

104. c

105. a

106. a

107. b

108. d

109. c

110. b

111. a

112. d

113. c

MQM100_MultipleChoice_Chapter9

Documents

true null hypothesis

false null hypothesis

hypothesis testing

alternative hypothesis

hypothesis tests

tailed test of hypothesis

nonrejection regions

population parameter