1.The following data are from matched samples taken from students in an aerobics class that have been weighed before and after the 5-week class, with the following results:

PersonWeight BeforeWeight After

1198 lbs.194 lbs.

2154151

3124126

4110104

5127123

6162155

7141129

8180165

a.Compute the average weight (d-bar) loss after the 5-week class.

b.Compute the standard deviation (s_d)

Using alpha = 0.05, conduct the appropriate statistical test to evaluate the effectiveness of the program (i.e. does the program result in weight loss for its participants).

i.State the null and alternative hypotheses.

ii. State the rejection rule using the critical value.

iii. State the value of the test statistic.

iv.What is the p-value for this test and what is your conclusion?

2.

): A manager of the sales department collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons.

SalespersonYears ofAnnual Sales

Experience($1000s)

1180

2397

3492

44102

56103

68111

710119

810123

911117

10 13136

a. Develop the least squares regression equation with Years of Experience as the independent variable.

b.Use the regression equation to estimate annual sales for a salesperson with 9 years of experience.

c.State the value of the coefficient of determination.What does it mean?

d.State the value of the correlation coefficient.

e.Test for a significant relationship between Annual Sales and Years of Experience using the t test. What is your conclusion? Use alpha = 0.05.