# Using the MM207 Student Data Set …

1. Using the MM207   Student Data Set:    a) What is the correlation between   student cumulative GPA and the number of hours spent on school work each   week? Be sure to include the computations or StatCrunch output to support   your answer.    b) Is the correlation what you   expected?    c) Does the number of hours spent on   school work have a causal relationship with the GPA?    d) What would be the predicted GPA for a   student who spends 16 hours per week on school work?.

2. Using the MM207   Student Data Set:    a) Select a continuous variable that you   suspect would not follow a normal distribution.    b) Create a graph for the variable you   have selected to show its distribution.    c) Explain why these data might not be   normally distributed.    d) Select a second continuous variable   that you believe would approximate a normal distribution   e) Create a graph to show its   distribution.    f) Explain why these data might be   normally distributed.

3. Jonathan is a 42   year old male student and Mary is a 37 year old female student thinking about   taking this class. Based on their relative position, which student would be   farther away from the average age of their gender group based on this sample   of MM207 students?

4. If you were to   randomly select a student from the set of students who have completed the   survey, what is the probability that you would select a male? Explain your   answer.

5. Using   the sample of MM207 students:   a) What is the probability of   randomly selecting a person who is conservative and then selecting from that   group someone who is a nursing major?   b) What is the probability of   randomly selecting a liberal or a male?

6.   Facebook reports that the average number of Facebook friends worldwide is   175.5 with a standard deviation of 90.57. If you were to take a sample of 25   students, what is the probability that the mean number Facebook friends in   the sample will be 190 friends or more?

7. Select a random   sample of 30 student responses to question 6, “How many credit hours are   you taking this term?” Using the information from this sample, and   assuming that our data set is a random sample of all Kaplan statistics   students, estimate the average number of credit hours that all Kaplan   statistics students are taking this term using a 95% level of confidence. Be   sure to show the data from your sample and the data to support your estimate.

8. Assume that the   MM207 Student Data Set is a random sample of all Kaplan students; estimate   the proportion of all Kaplan students who are male using a 90% level of   confidence.

9. Assume you want to   estimate with the proportion of students who commute less than 5 miles to   work within 2%, what sample size would you need?

10. A professor at   Kaplan University claims that the average age of all Kaplan students is 36   years old. Use a 95% confidence interval to test the professor’s claim. Is   the professor’s claim reasonable or not? Explain.

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