Expected Price	Promotion	% Discount
4.3	2	40
4.7	2	40
4.67	2	40
4.62	2	40
4.76	2	40
4.89	2	40
4.62	2	40
4.37	2	40
4.51	2	40
4.79	2	40
3.77	2	30
3.97	2	30
4.1	2	30
4.69	2	30
4.2	2	30
4.86	2	30
4.68	2	30
4.84	2	30
4.51	2	30
4.63	2	30
5.14	2	20
4.79	2	20
4.78	2	20
4.68	2	20
4.75	2	20
4.73	2	20
4.79	2	20
4.86	2	20
4.93	2	20
5.44	2	20
5.39	2	10
5.08	2	10
4.98	2	10
5.09	2	10
4.89	2	10
5.16	2	10
5.2	2	10
5.13	2	10
5.3	2	10
4.98	2	10
4.27	4	40
4.33	4	40
4.45	4	40
4.43	4	40
4.77	4	40
4.53	4	40
4.37	4	40
4.67	4	40
4.8	4	40
4.22	4	40
4.4	4	30
4.14	4	30
4.4	4	30
4.08	4	30
4.55	4	30
4.19	4	30
4.21	4	30
4.42	4	30
3.9	4	30
4.68	4	30
5.08	4	20
5	4	20
4.66	4	20
4.93	4	20
4.16	4	20
4.62	4	20
4.5	4	20
4.88	4	20
4.65	4	20
4.76	4	20
5.1	4	10
5.35	4	10
4.88	4	10
5.18	4	10
4.86	4	10
4.66	4	10
4.9	4	10
4.57	4	10
4.89	4	10
5.17	4	10
4.09	6	40
4.38	6	40
4.02	6	40
4.29	6	40
4.14	6	40
4.61	6	40
4.34	6	40
4.35	6	40
4.26	6	40
4.1	6	40
4.1	6	30
3.97	6	30
4.06	6	30
4.3	6	30
4.3	6	30
4.01	6	30
4.17	6	30
3.87	6	30
4.25	6	30
3.87	6	30
4.31	6	20
4.55	6	20
4.37	6	20
4.31	6	20
4.22	6	20
4.61	6	20
4.68	6	20
3.96	6	20
4.86	6	20
4.64	6	20
4.51	6	10
4.56	6	10
4.95	6	10
4.82	6	10
3.94	6	10
4.54	6	10
4.72	6	10
4.57	6	10
4.6	6	10
4.72	6	10
3.76	8	40
4.11	8	40
4.25	8	40
4.11	8	40
4.31	8	40
3.81	8	40
3.92	8	40
3.89	8	40
3.99	8	40
3.65	8	40
3.65	8	30
4.26	8	30
3.55	8	30
3.87	8	30
3.94	8	30
4	8	30
4.1	8	30
4.28	8	30
3.72	8	30
4.23	8	30
4.09	8	20
4.65	8	20
4	8	20
4.35	8	20
4.61	8	20
3.95	8	20
4.18	8	20
4.27	8	20
4.41	8	20
4.43	8	20
4.24	8	10
4.42	8	10
4.59	8	10
4.09	8	10
4.46	8	10
4.61	8	10
4.59	8	10
4.72	8	10
4.07	8	10
4.9	8	10

I only need parts (d) and (e).

Question # 2 [50 marks] Following their initial analysis, the researchers in the above question are now suspecting that, in addition to the frequency of promotions, the percent (%) reduction may also affect the price that customers are expecting to pay for the product. They conduct a similar study and distributed information about the product for a 10-week period to new sample of 160 students. The treatment conditions corresponded to the number of promotions (2, 4, 6 and 8) that were described and the percent that the product was discounted (10%, 20%, 30% and 40%). Ten students were randomly assigned to each treatment. Data on expected prices for the different groups can be found in the file Assign3Data (Tab Q2). (a) Using Minitab, provide the usual 4 residual plots (obtained from an ANOVA report). What key model assumptions (see Section 15.8) can be examined and do these appear to be warranted? [7 Marks] (b) Using Minitab, provide an ANOVA report, which shows either the data provide sufficient evidence to indicate an interaction exists or not between the number of promotions and the percent discounted? Test using a = 0.01. Show manually all the steps of a hypothesis test. Use the critical value approach and the p-value approach. If applicable, explain in plain language what the lack of interaction means in this case. [19 Marks] (c) Using Minitab, provide an interaction plot. Examine the interaction plots and explain if it is or isn't consistent with the results in a). [6 Marks) (d) Using Minitab and a = 0.01, provide the "Bonferroni Pairwise Comparisons" report. Then manually, calculate the Bonferroni margin of error for the confidence intervals based on all pairwise differences between the treatment means. Show your manual calculations and use an overall 99% confidence level. [14 Marks] (e) Using the calculated margin of error and pairwise confidence interval approach in (d) above, test the following statements: NOTE: THIS IS DONE MANUALLY. (i) For a discount of 10%, 2 promotion vs 4 promotions makes a difference. [2 marks] (i) For 2 promotions, a 10% discount vs a 30% discount makes a difference [2 marks] Question # 2 [50 marks] Following their initial analysis, the researchers in the above question are now suspecting that, in addition to the frequency of promotions, the percent (%) reduction may also affect the price that customers are expecting to pay for the product. They conduct a similar study and distributed information about the product for a 10-week period to new sample of 160 students. The treatment conditions corresponded to the number of promotions (2, 4, 6 and 8) that were described and the percent that the product was discounted (10%, 20%, 30% and 40%). Ten students were randomly assigned to each treatment. Data on expected prices for the different groups can be found in the file Assign3Data (Tab Q2). (a) Using Minitab, provide the usual 4 residual plots (obtained from an ANOVA report). What key model assumptions (see Section 15.8) can be examined and do these appear to be warranted? [7 Marks] (b) Using Minitab, provide an ANOVA report, which shows either the data provide sufficient evidence to indicate an interaction exists or not between the number of promotions and the percent discounted? Test using a = 0.01. Show manually all the steps of a hypothesis test. Use the critical value approach and the p-value approach. If applicable, explain in plain language what the lack of interaction means in this case. [19 Marks] (c) Using Minitab, provide an interaction plot. Examine the interaction plots and explain if it is or isn't consistent with the results in a). [6 Marks) (d) Using Minitab and a = 0.01, provide the "Bonferroni Pairwise Comparisons" report. Then manually, calculate the Bonferroni margin of error for the confidence intervals based on all pairwise differences between the treatment means. Show your manual calculations and use an overall 99% confidence level. [14 Marks] (e) Using the calculated margin of error and pairwise confidence interval approach in (d) above, test the following statements: NOTE: THIS IS DONE MANUALLY. (i) For a discount of 10%, 2 promotion vs 4 promotions makes a difference. [2 marks] (i) For 2 promotions, a 10% discount vs a 30% discount makes a difference [2 marks]