1. A business professor at a major university has developed an on-line course for business students. To reduce the possibility of students sharing exam questions with one another, the professor has developed three different midterm exams. However, before she uses the exams in a live class, she wants to know if the tests will yield the same mean score. To test this, a random sample of fifteen people who have been through the course material is selected. Each student will take each exam. The order in which each test is taken is randomized and the scores are recorded.

a.Complete the table below:

Source SS df MS F

Between 228,679.6

Blocks 125,483.1

Error

Total 624,536.4

b. Based on the results from part a, what do you conclude (usea= .05) and why?

c. Compute Relative Efficiency of blocking. Was blocking effective? Why?

d. (If appropriate), find which pairs of exams are significantly different (usea= .05).

(X₁ = 794.33 X₂ = 849.53 X₃ = 678.47)

2. Ananalyst would like to use number of top 10 finishes (Top 10) in order to predict Winnings (in $100,000's) for NASCAR drivers. The analyst collects data from 31 NASCAR drivers. The data is summarized below:(20 pts) S_xx = 1285.7419 S_xy = 1787.5441 S_yy = 3845.4917 Sx = 357 Sy = 1517.6404

a.Calculate the regression equation and interpret the results.

b.What would be the estimated Winnings when Top 10 is 13?

c,Find the coefficient of determination and interpret the results.

3. A certain company has a two-part wage structure, a base salary and a commission computed on monthly sales. A concern expressed by departing employees is that new employees tend to be given parts of the sales territory previously covered existing employees and are assigned prime customers as a recruiting inducement. At issue, then is the relationship between sales (on which commissions are based) and number of years with the company. The company collects data from 18 randomly sampled employees and believes that longer tenured employees should be making higher sales.

Given the value of the test statistic is 4.66, is there sufficient evidence at thea= .10 level of significance to confirm the company's belief? What is the P-value of your test statistic?

4.A bank realizes that having enough loan officers available is one of the ways of providing excellent service. The bank manager has collected data on the number of home-loan applicants who visit his branch per week. He believes that the distribution of the number of customer arrivals follows a Poisson distribution with an average of 3.5 applicants per week.

Number of Customers Frequency Poisson Probability

0 1 .030197

1. 2 .105691
2. 9 .184959
3. 11 .215785
4. 14 .188812
5. 6 .132169

6+ 9 .142386

Is there sufficient evidence to refute the manager's belief at thea = .1 level of significance? What is the P-value of your test statistic?

5.The athletic director at a State University would like to develop a model that might be used to explain the variation in attendance at football games at his school. A sample of 18 games were chosen at random and the following information was collected for each game: attendance, team's season win/loss percentage to date, opponent's season win/loss percentage to date, games played this season, temperature at game time.

a.Given the value of the test statistic for the overall F is 9.258 what would you conclude (usea = .05) and why?

b.Given the following information regarding the p-values of the coefficients, what would you conclude (usea = .05) and why?

Coefficient P-value

Team's season win/loss percentage to date 0.0014

Opponent's season win/loss percentage to date 0.0037

Games played this season 0.1212

Temperature at game time 0.0309