You have just argued with your friend about how old the students in your school (college, or university) are, on average. To prove to your friend that you are right in your estimate, you have decided to conduct a survey asking your classmates in your statistics class how old they are.

a. Identify the level of measurement for the age data in your survey.

a Nominal

b Ordinal

c Interval

d Ratio

b. What is your target population?

All the students in my school (college, or university)

Only the students in my class

Only the students in my sample

Only the students who are in my program

c. Will the results be representative?

No, because the sample was not randomly selected

Yes, because the sample was chosen from my class

Yes, because the sample was randomly selected

No, because the students in my class don't like surveys

d. In deciding to survey your classmates in your statistics class, what kind of sampling technique have you employed?

Cluster Sampling

Stratified Random Sampling

Convenience Sampling

Simple Random Sampling

e. Would it be feasible for you to conduct a census for this survey?

Yes

No

f. In your argument with your friend about the average age of students in your school, your position is that the students in your school are about 24 years of age on average.

The data below are the ages of all your classmates in your survey.

16	16	16	17	18	21
25	26	26	26	26	27
27	29	30	30	31	32
32	32	33	35	36	37
38	38	38	40	40	42

Use the descriptive statistics and histogram feature in Data Analysis Tool Pack to analyze the sample data. Then, use your results to find the following:

Sample size:

Sample mean:

Sample median:

Sample variance:

Sample standard deviation:

50% of the class is older than:

Standard error:

The sample data is:

Skewed to the left or skewed to the rightmost or not skewed?

Round to two decimal places when necessary

Using the 2^k > n rule, how many classes would be required for a histogram to represent your sample data?

classes

g. Suppose 20% of the student population is under 25 years of age, and you randomly ask 5 students how old they are. What is the probability that 2 of the 5 students are less than 25 years of age?

Round to three decimal places

h. It is rare to have students who are in their 50's in your school. Suppose the average number of over-50's who are admitted in a year is 6. Use the Poisson probability formula to determine the probability that, over a 2-year period, there will be 13 students admitted to your school who are over 50 years old.

Round to three decimal places