4. The admissions officer of TopNotch University wants to know the relationship between the

High school GPAs and college GPAs for the 15 merit scholars in this year’s freshman class.

Here are the data:

Student High School GPA College GPA

1 3.6 3.7

2 3.9 3.9

3 4.0 3.7

4 3.4 3.51

5 3.8 3.4

6 3.7 3.3

7 3.7 3.3

8 4.0 3.6

9 3.9 3.5

10 3.5 3.2

11 3.3 3.0

12 3.7 3.7

13 3.4 3.2

14 3.6 3.5

15 3.6 3.4

1. Calculate Pearson r.
2. Interpret the correlation coefficient for a one-tailed test: Can you reject the null

hypothesis? If so, with what confidence?

2. A large furniture store stations salespeople near its entrance to greet customers and offer

Assistance in shopping. The salespeople, who work on a commission basis, tell the customers

their name and hand them a business card. A psychologist thinks that the salespersons’

Intrusiveness might cause customers to buy less furniture rather than more furniture. She convinces the store’s management to let her study the issue. Customers are randomly selected to either receive or not receive a salesperson’s offer of assistance immediately on entering the store. The amount of customers’ purchases is then logged as they leave the store. Here are the data:

Amount of Purchase, in U.S. Dollars

Immediate Assistance No Assistance Unless Requested

0 761

2,274 0

0 2,592

0 0

0 1,037

362 0

855 84

0 0

0 672

1,273 0

1. What are the independent and dependent variables in this study?

b. State the null hypothesis and the directional ( one-tailed ) research hypothesis.

c. Calculate t and compare it with the tabled critical t at the .01 and .05 levels. Can

you reject the null hypothesis?

Prepare a report (750 – 1,050 words) on the two different types of analyses: correlation and comparison, using the questions associated with the two data sets. Address the following for each analysis:

o   Answers to each module, such as the summary of statistical test, the results of the statistical analysis, the degrees of freedom, p value, one-tailed

o   Meaningfulness of study outcome, such as significance of the statistical finding

o   Conclusions that would follow from these results

Price: $19.02

Solution: The downloadable solution consists of 7 pages, 1202 words and 13 charts.
Deliverable: Word Document