Math 221 week 1 lecture

Week 1 LectureMA 221

Statistics for Decision MakingProfessor Brent Heard

Not to be copied or linked to without my permission

Week 1 Lecture MA 221

• Determine whether the data set is a population or a sample. Explain your reasoning.

The salaries of each teacher in a high school.


• Determine whether the bold value is a parameter or a statistic.

In a statewide survey on candy consumption, 72.7% of respondents between the ages of 40 and 49 reported M&M’s as a favorite candy.


• Determine whether the bold value is a parameter or a statistic.

In a study of all teachers in a particular high school, 98% own a cell phone.


• Determine whether the variable is qualitative or quantitative.

Enrollment of an elementary school.



Colors of cars in the parking lot of an office building.



Zip Codes of the students in your online class.


• What is the data set’s level of measurement?

Colors of cars in the parking lot of an office building.



Daily low temperatures in Fahrenheit for December 2011.



Number of dogs each of your classmates have at home.



College Football Rankings.


• Which method of data collection is described?

Asking every fifth student in line to enroll what they are planning on majoring in.



Looking at all 20 entry level statistics classes at a university and survey 2 students from each class.



Looking at all 20 entry level statistics classes at a university and surveying everyone in one of the classes chosen at random.



Standing outside the local shopping mall and asking people what they think of the new mall 15 miles away.



Putting all of the first grade students names in a hat and drawing one to get to sit next to the teacher at lunch.


• Describe whether you would take a census or use a sampling to collect data for the study described below.

The average salary of the 75 workers at a small business.


• Describe whether you would take a census or use a sampling to collect data for the study described below.

The average number of times per year the citizens of a 250,000 population city use the library.


• For the Data:

56 74 84 98 88 77 79 74 80 91

The stem and leaf would be:

5| 6

6|

7| 4479

8| 048

9| 19

Skewness

“Tail” to the Left “Tail” to the Right

Think of a “Bell”Or PerfectMountain

Think of a “Block of wood”



• Find the mean, median and mode for the following set of data representing the number of children a sample of 10 families have living at home. Explain what each measure of center is in plain language.

2 2 3 1 0 3 0 1 0 2


• Find the range, mean, standard deviation for the following set of data representing the number of children a sample of 12 families have living at home. Explain what each measure of center is in plain language.

2 2 3 1 0 3 0 1 0 2 4 3


• Average sales per customer at a Fast Food Restaurant have a bell-shaped distribution with a mean of $5.37 and standard deviation of 78 cents. Using the empirical rule, give the following intervals.

• 68% of the values would fall between what two values

• 95% of the values would fall between what two values

• 99.7% of the values would fall between what two values


• Explain all of the values associated with a box and whisker plot and what they mean.


• Explain what a z score of zero would mean. Then explain the difference between a positive and a negative z score.


• In the next couple of days, I will post these online at my “Statcave” site on Facebook.

• You DO NOT have to be a Facebook person to see these, I simply post them there for convenience.

• Website: www.facebook.com/statcave

Math 221 week 1 lecture

Education

lecture ma

method of data collection

decision making week

data sets level of measurement

following set of data

entry level statistics

parking lot

office building