FINAL EXAM REVIEW Last Class – Week 15. Measures of Central Tendency (Ex 1) – Using the following set of data, Find each of the following: 101, 98, 76,

FINAL EXAM REVIEW

Last Class – Week 15

Measures of Central Tendency

(Ex 1) – Using the following set of data, Find each of the following:

101, 98, 76, 82, 93, 88, 92, 84, 65, 78, 82, 91, 87, and 72.

(a)Mean –(b)Median – (c)Mode – (d)Range – (e)Mid-range –

Measures of Central Tendency

(Ex 2) - Using the same set of data, Find each of the following:

101, 98, 76, 82, 93, 88, 92, 84, 65, 78, 82, 91, 87, and 72.

(a)Standard Deviation –(b)1st Quartile –(c)3rd Quartile – (d)Create a Stem and Leaf Plot:

New Average

(Ex 3) - For the first four Statistics tests, Paul has an average of 78. What must he score on the last test to bring his average up to exactly 80, to get a B?

Pie Charts

(Ex 4) – The accompanying chart shows the percentage of students in each major, in a particular class. If there are 16 students in accounting, how many are in the entire class?

Probability

• Roll of a die = {1,2,3,4,5,6}(Ex 5) – Find the following probabilities:

P(even) =P(seven) =P(#>4) =P(prime) =P(divisible by one) =

Prob. - Multiple Events

Rolling two die - There will be 36 outcomes in the sample space: {(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)}

Probability Con’t(Ex 6) – Find the probability of the following events: - Without replacement from a standard deck of 52 cards

P(one queen, one king) =P(Two queens) =P(Two hearts) =P(nine or jack) =P(Three aces) =P(Two red cards) =

Different Outfits?

(Ex 7) - How many different outfits consisting of a hat, a pair of pants, a shirt, and a tie can be made from three hats, five ties, four pairs of pants, and four shirts?

Permutations/Arrangements

(Ex 8) - How many different arrangements can be made from letters in the word DONE?

(Ex 9) - How many different arrangements can be made from letters in the word CLASS?

(Ex 10) - How many different arrangements can be made from letters in the word COLLEGE?

Permutations:

(Ex 11a) - How many different 5 player arrangements can be formed from a team of 15 volleyball players?

(Ex 11b) – How many ways can 15 runners finish 1st, 2nd, and 3rd ?

Combinations:

(Ex 12) - How many different groups of 3 people can be formed choosing from 10 possible?

(Ex 13) – How many different possible ways can I issue two prizes of $250 each, choosing from 12 people?

License Plates

(Ex 14) – How many different license plate arrangements are possible if each must consist of 3 numbers, followed by 3 letters?

(Ex 15) – How many different license plate arrangements are possible if each must consist of 3 different numbers, followed by N, and two other letters?

Exactly, at least, at most:

(Ex 16) - The probability that Bob will score above a 85 on a statistics test is 3/5. What is the probability that he will score above a 85 on exactly three of the four tests?

(Ex 17) - The probability that Bob will score above a 90 on a statistics test is 2/5. What is the probability that he will score above a 90 on at least three of the four tests?

This will be given to you:

Gas is a rip off!

Ex (18) – This past week gas prices followed a normal distribution curve and averaged $2.95 per gallon, with a standard deviation of 3 cents. What percentage of gas stations charge between $ 2.91 and $ 2.99?

This problem can’t be for real:

Ex (19) - The amount of relish dispensed from a machine at The Burger Emporium is normally distributed with a mean of 2 ounces per squirt and a standard deviation of 0.2 ounce. If the machine is used 300 times, approximately how many times will it be expected to dispense 2.5 or more ounces of relish?

(that’s a lotta relish!)

Confidence Intervals:

• Make sure you have TABLE IV handy!(Ex 20) - After sampling 50 students at NCCC,

John found a point estimate of an 16 minutes drive time to college, with a standard deviation of 3.6. Construct a 95% confidence interval for this data.

Choose the appropriate sample size

(Ex 21) – Nick wants to do a study of the average drive time to NCCC. He is comfortable with a margin of error of +/- 3. If the standard deviation is known to be 4.5 minutes, how many people would need to be sampled to receive a interval with a 90% level of confidence?

I don’t believe it!(Ex 22) – According to collegeboard.com, the mean

score in the United States on the the SAT is a 1050. You believe that it couldn’t be. You obtain a random sample of 40 SAT scores from students. The mean for these 40 students is 1000. Assuming a σ = 110, does the sample provide enough evidence that the mean score is different than the national average at a α = 0.1 level of significance?

Scatter!

Hours Studying Grade

0 62

2 74

4 78

6 89

8 94

(a)Find the correlation coefficient for the following data.

(b)What would the grade be for someone who studied 5 hours?

What else can I study?

- The tests that you have been handed back.- Previous PowerPoint presentations on lessons

you didn’t quite grasp.- The book?.....if you really got some time on

your hands.- Try putting the book in your pillowcase,

osmosis?- Statistics for dummies?