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 (1, 3, 5 and 7) that were described and the percent that the product was discounted (10%, 20%, 30% and 40%). Ten students were randomly assigned to each treatment.

1. (a) Identify the experimental design and the number of treatment combinations?

2. (b) Plot the residuals against the fitted values. What key model assumptions can be examined and do these appear to be warranted?

3. (c) Do the data provide sufficient evidence to indicate an interaction between the number of promotions and the percent discounted? Test using α = 0.05 stating the hypotheses. If applicable, explain in plain language what the lack of interaction means in this case. (Make sure to show all the steps)

4. (e) Test the main effect of the number of promotions and main effect of the percent discount on the mean expected price? What do you conclude? (Make sure to show all the steps)

5. (f) 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 95% confidence level.

Expected Price	Promotion	% Discount
4.1	1	40
4.5	1	40
4.47	1	40
4.42	1	40
4.56	1	40
4.69	1	40
4.42	1	40
4.17	1	40
4.31	1	40
4.59	1	40
3.57	1	30
3.77	1	30
3.9	1	30
4.49	1	30
4	1	30
4.66	1	30
4.48	1	30
4.64	1	30
4.31	1	30
4.43	1	30
4.94	1	20
4.59	1	20
4.58	1	20
4.48	1	20
4.55	1	20
4.53	1	20
4.59	1	20
4.66	1	20
4.73	1	20
5.24	1	20
5.19	1	10
4.88	1	10
4.78	1	10
4.89	1	10
4.69	1	10
4.96	1	10
5	1	10
4.93	1	10
5.1	1	10
4.78	1	10
4.07	3	40
4.13	3	40
4.25	3	40
4.23	3	40
4.57	3	40
4.33	3	40
4.17	3	40
4.47	3	40
4.6	3	40
4.02	3	40
4.2	3	30
3.94	3	30
4.2	3	30
3.88	3	30
4.35	3	30
3.99	3	30
4.01	3	30
4.22	3	30
3.7	3	30
4.48	3	30
4.88	3	20
4.8	3	20
4.46	3	20
4.73	3	20
3.96	3	20
4.42	3	20
4.3	3	20
4.68	3	20
4.45	3	20
4.56	3	20
4.9	3	10
5.15	3	10
4.68	3	10
4.98	3	10
4.66	3	10
4.46	3	10
4.7	3	10
4.37	3	10
4.69	3	10
4.97	3	10
3.89	5	40
4.18	5	40
3.82	5	40
4.09	5	40
3.94	5	40
4.41	5	40
4.14	5	40
4.15	5	40
4.06	5	40
3.9	5	40
3.9	5	30
3.77	5	30
3.86	5	30
4.1	5	30
4.1	5	30
3.81	5	30
3.97	5	30
3.67	5	30
4.05	5	30
3.67	5	30
4.11	5	20
4.35	5	20
4.17	5	20
4.11	5	20
4.02	5	20
4.41	5	20
4.48	5	20
3.76	5	20
4.66	5	20
4.44	5	20
4.31	5	10
4.36	5	10
4.75	5	10
4.62	5	10
3.74	5	10
4.34	5	10
4.52	5	10
4.37	5	10
4.4	5	10
4.52	5	10
3.56	7	40
3.91	7	40
4.05	7	40
3.91	7	40
4.11	7	40
3.61	7	40
3.72	7	40
3.69	7	40
3.79	7	40
3.45	7	40
3.45	7	30
4.06	7	30
3.35	7	30
3.67	7	30
3.74	7	30
3.8	7	30
3.9	7	30
4.08	7	30
3.52	7	30
4.03	7	30
3.89	7	20
4.45	7	20
3.8	7	20
4.15	7	20
4.41	7	20
3.75	7	20
3.98	7	20
4.07	7	20
4.21	7	20
4.23	7	20
4.04	7	10
4.22	7	10
4.39	7	10
3.89	7	10
4.26	7	10
4.41	7	10
4.39	7	10
4.52	7	10
3.87	7	10
4.7	7	10

Answer rating: 100% (QA)

Solution This is twoway anova with replications there are 2 indepen... View the full answer