1. A company operates three shifts every day of the week. Each shift includes full-time hourly workers, non supervisory salaried employees, and managers. The company would like to know if there is a difference among the shifts in terms of the number of hours missed due to employee illness. To control for differences that might exist across employee groups, the company randomly selects one employee from each employee group and shift and records the number of hours missed over the year. leen the value of the test statlstlc Is 25.12 what do u oonclude In terms ofthe blem and wh ? Use a = 2. A business professor at a major university has developed an online 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 55 df MS F Between 228,57915 Blocks 125,483.1 Error Total 624,535}! b. Based on the results from part a, what do you conclude [use (1 = .05} and why? c. Compute Relative Efciency of blocking. Was blocking effective? Why? d. (lfappropriatel, nd which pairs of exams are significantly different [use 0'. = .05). {7(1 = ?94.33 5?; = 849.53 X3 = 578.47) 3. An investment company is interested in developing a model to predict dividends per share by U.S. companies. The company selects 30 companies at random and plans to use return on equity, earnings per share, and current ratio to make the prediction. a. Complete the table below: Source 55 DF MS F Regression 13.2351 Residual Total 20.4825 b. Based on the results from part a, what do you conclude (use a = .05) and why? 4. A certain company has a twopart 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 sufcient evidence at thelmt= .10 level of signicance to conrm the commnts belief? What is the Pmlue of Lour test statistic? 5. A bank realizes that having enough loan ofcers available is one of the ways of providing excellent service. The bank manager has collected data on the number of homeloan 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 Freguency Poisson Probability 0 1 .030197 1 2 .105691 2 9 .184959 3 11 .215785 4 14 .188812 5 6 .132169 6+ 9 .142385 Is there sufcient evidence to refute the manager's belief at the a. = .1 level of signicance? What is the P- value of your test statistic? 6. 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 ofthe test statistic for the overall F is 9.258 what would you conclude (use 0! = .05] and why? b. Given the following information regarding the p-values of the coefcients, what would you conclude (use (I = .05] and why? Coefficient Pvalue Team's season winiloss percentage to date 0.0014 Opponent's season win/loss percentage to date 0.003? Games played this season 0.1212 Temperature at game time 0.0309 7. A company is trying to improve productivity. It decides to implement a weekly interplant competition with a large monetary reward at the end of the time period. At the end ofthe competition, a manager is asked to determine whether or not there was a change in the productivity. The manager gathers the following data: Units roduced lantscombined Before During 02500 11 O 2,5018,000 23 20 8,00115,000 56 83 15,00020,000 15 52 Based on the above data, what do you oondude at the a. = .05 level of signicance? What is the P-value of your best statistlc? 8. A certain company operates automobile dealerships in six regions. The general manager questioned whether the mean profit margin per vehicle sold differed by region. A random sample of5 vehicles sold in each region is selected and the profit margin of each vehicle is recorded. Given the value of the test statistic ls 2.52I what do Lou conclude [in terms of the problem}? Use a = .05. What Is the Pvalue of Lourbest statistic? 9. An analyst 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] SW = 1285.7419 S,'y = 17815441 SW = 3845.491? Ex = 357 By = 15116404 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