# Statistics

**Question description**

**The Final Project is worth 105 points. Please download this document
to your computer and save it using the naming convention specified in the course
syllabus. For the Final Project you will be using the MM207 Student Data Set,
the survey codebook, and StatCrunch as necessary. You should enter your
answers/responses directly after the question. There is no need to retype the
project.**

Name:

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.

**Correlation Coefficient:**

**Statcrunch Output (paste here):**

b) Is the correlation what you expected?
**Explain. **

c) Does the number of hours spent on school work
have a causal relationship with the GPA? **Explain. **

d) What would be the predicted GPA for a student who spends 16 hours per week on school work? Be sure to include the computations or StatCrunch output to support your prediction.

**Predicted GPA: **

**Computation or Statcrunch Output:**

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?

**Student:**

** Mathematical Justification: **

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.

**Probability:**

** Mathematical Justification: **

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?

**Probability:**

**Mathematical Justification:**

b) What is the probability of randomly selecting a liberal or a male?

**Probability:**

**Mathematical Justification: **

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?

**Probability:**

** Mathematical Justification: **

7. Select a random sample of 35 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.

**95% Confidence Interval:**

** Statcrunch Output or Mathematical Justification: **

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.

**90% Confidence Interval:**

** Mathematical Justification:**

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?

**Sample Size:**

** Mathematical Justification:**

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.

**95% Confidence Interval:**

** Explanation: **

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