ECON7300: Statistical Project Assignment (Part I), Semester 2, 2022 Part B Note: for questions in Part B assume that the three assumptions underlying ANOVA (i.e., randomness and independence, normality and homogeneity of variance) are met. If the degrees of freedom for the denominator are not on the table, use the closest value the table has 1. Suppose Gatorade sports drink company has developed three new drink flavors (flavor) and would like to conduct a taste test to collect data on customers' preferences. Five people (people) were asked to sample and rate (rate) each flavor on a scale 1-20. The data are saved in Dataset11. Hint: the variable people is the blocking variable. Based on the information given, answer the following questions. (a) At the 5% level of significance, was blocking effective? Follow all the necessary steps and verify your results using Excel/PHStat. (b) Using a 5% level of significance, is there a significance difference in the mean rate between the three new drink flavors. Follow all the necessary steps to perform the test. (c) If your results in (b) indicate that it is appropriate, use the Tukey procedure to determine which groups (i.e., flavor) differ in the mean rate. Use a 5% level of significance. Follow all the necessary procedure to perform the test. 2. Three different machine-control button (button) configurations are being tested. Recognising that some operators are faster than others, management uses seven operators (operator) as blocks., then has each operator carry out a standard operation using each control-button layout. Each operator proceeds from one treatment to the next in a random order, and the times (time) in seconds for completion of the operation are saved in Datset12. Hint: the variable operator is the blocking variable. Based on the information given, answer the following questions. (a) At the 5% level of significance, was blocking effective? Follow all the necessary steps and verify your results using Excel/PHStat. (b) Using a 5% level of significance, is there a significance difference in the average completion time (time) between the three control-button (button) configurations? Follow all the necessary steps to perform the test. (c) If your results in (b) indicate that it is appropriate, use the Tukey procedure to determine which groups (i.e., control-button configuration) differ in the average completion time. Use a 5% level of significance. Follow all the necessary procedure to perform the test