1) Bella's Candy is planning to introduce a new chocolate bar. Bella, the owner of the company had requested Mike, the marketing manager, to come up with three potential designs for the chocolate bar. Once she received the three designs, she like all three and was unable to make a choice. Mike suggested that they should let the customers pick the best design. He randomly picked 6 customers to rate all three candy wrappers. The data is provided in Candy.sav. State the appropriate hypothesis, run the appropriate test using SPSS and interpret the results. Which design should be chosen for the chocolate bar? 10 points 

2) The TruFoods is planning to introduce three new flavors of ice cream. The retailer decides to allocate shelf space to each of these flavors based on popularity (sales). In order to make the decision, TruFoods randomly picks 10 stores and introduces the three flavors of ice cream in these stores and monitors the sales for each flavor. The average weekly sales for each flavor (in hundreds of dollars) are recorded in IceCream.sav. The retailer wants to investigate if the average sales of the three flavors are significantly different from each other. State the appropriate hypothesis, run the appropriate test using SPSS and interpret the results. Based on the results, how should TruFoods allocate shelf space? 10 points 

3) The marketing director of FireStone.com was concerned about the performance of their call center employees. He found that average call times were higher than industry average. The manager decides to invest in a program to train his call center employees in techniques to resolve customer concerns in a timely fashion. With the new training, the manager hoped that the call waiting times would reduce. In order to test if this had in fact happened, the manager randomly chose 15 call center employees and recorded the average call length(average time spent on a single customer call) for a one week period before and after each of the 15 employees received training. The data is in Training.sav. State the appropriate hypothesis, run the appropriate test using SPSS and provide interpretation. 10 points 

The director of the MBA program wishes to investigate if the average GPA of MBA students varies with the size of university (small, medium and large) and type of MBA (regular, professional and executive) program. In order to investigate this issue, the director randomly picked 4 universities for each of the 9 university type-MBA program combinations and collected the average GPA of the MBA students. The data is in MBA.sav. Does the mean GPA differ for the three sizes of the university? Does the mean GPA differ for the three types of MBA programs? Does the MBA type affect the mean GPA of the university size? State the appropriate hypothesis, run the appropriate statistical test and provide interpretation. Which combination of university size and MBA program type results in the lowest average GPA?

Univ Size MBA Type GPA

1 1 2.56
1 1 2.69
1 1 2.71
1 1 2.47
1 2 2.78
1 2 2.67
1 2 2.60
1 2 2.76
1 3 2.84
1 3 2.95
1 3 2.82
1 3 2.91
2 1 2.64
2 1 3.18
2 1 2.82
2 1 2.91
2 2 3.09
2 2 3.15
2 2 3.00
2 2 3.24
2 3 4.05
2 3 3.98
2 3 4.09
2 3 3.82
3 1 3.20
3 1 3.40
3 1 3.04
3 1 2.89
3 2 3.64
3 2 3.45
3 2 3.55
3 2 3.38
3 3 3.40
3 3 3.45
3 3 3.18
3 3 3.60

 5) Amazon.com wishes to investigate the relationship between order size (in dollars) and the level of satisfaction of the customer. The chief marketing office (CMO) of Amazon.com randomly picks 30 consumers and records each customer's level of satisfaction (on a scale of 1 through 7, 7 being extremely satisfied and 1 being extremely dissatisfied) and their order size. The CMO expects that higher levels of satisfaction would lead to higher order sizes. In addition, the CMO expects the impact of satisfaction on order size to be lowered at higher levels of satisfaction. Express the model that the company must use, state the null and alternate hypothesis, estimate the model and provide interpretation. The data is in Amazon.sav. 15 points 

6) You are interested in understanding whether the average Lifetime Value (the net present value of all the transaction expected from a customer) for the customers in the Florida is significantly different from those in California. You suspect that the California LTV (Lifetime value) would be higher than in Florida. In order to test this hypothesis, you pick 10 customers each in the California and Florida and record their LTV(in dollars). The data is in LTV.sav. State the appropriate hypothesis, run the appropriate test using SPSS and provide interpretation. 10 points 

7) A home improvement store recently purchased a new paint color-mixing machine. The machine is rated to produce 6 gallons of mixed paint every minute. The store's manager suspects that the machine is underperforming. In order to test his hypothesis, the manager tests the machine's output by mixing 10 randomly chosen colors and measuring the output rate of the machine. The data is in mix.sav. State the hypothesis, conduct the appropriate test using SPSS and interpret the results. 10 points 

8) Kohl's wishes to investigate the relationship between level of advertising, coupon value and sales. Kohl's advertises several times a month and includes a coupon (in dollars) with each advertisement. The value of the coupon remains the same in a month but varies from month to month. Kohl's expects that the number advertisements and coupon value have a positive impact on sales. In addition, Kohl's expects that the impact of advertisements increases as the coupon value increases. Kohl's collects the sales (in thousands of dollars), number of ads and coupon value for the last one year. The data is in Kohls.sav. Express the model that the company must use, state the null and alternate hypothesis, estimate the model and provide interpretation. When the manufacturer advertises 5 times in a month and includes a $3 coupon, what is the expected sales? 15 points