Compute the confidence interval for the mean


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Q: A telemarketing firm has studied the effects of two factors on the response to its television advertisements. The first factor is the time of day at which the ad is run, while the second is the position of the ad within the hour. The data in Table attached, which were obtained by using a completely randomized experimental design, give the number of calls placed to an 800 number following a sample broadcast of the advertisement. If we use MegaStat to analyze the data.

a. Test for interaction between time of day and the position of the advertisement with a ?=.05

b. Test the significance of the time of day effects with ?=.05

c. Make a pairwise (Tukey 95% simultaneous confidence intervals) comparison of the morning and evening times.

d. Make a pairwise (Tukey 95% simultaneous confidence intervals) comparison of the the early and late ad positions.

e. Which time of day and advertisement position maximizes the consume response? Compute the 95% (individual) confidence interval for the mean number of calls placed for this time of day/ad position combination.

Position of Advertisement
Time of Day On the Hour On the Half Hour Early in ther Program Late in the Program
10:00 AM 42
37
41
36
41
38
62
68
64
51
47
48
4:00 PM 62
60
58
57
60
55
69
70
72
67
60
66
9:00 PM 100
96
103
97
96
101
127
120
126
105
101
107

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Basic Statistics: Compute the confidence interval for the mean
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