[See Steps] A telemarketing firm has studied the effects of two factors on tree response to its television advertisements. The first factor is the time of


Question: A telemarketing firm has studied the effects of two factors on tree 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 the table below, which were obtained using a completely randomized experimental design, give the number of calls placed to an 800 number following a sample broadcast of the advertisement. Use MegaStat to analyze the data.

Position of Advertisement
Time of Day On the Hour On the Half- Early in the Late in the
Hour Program Program
10:00 Morning 42 36 62 51
37 41 68 47
41 38 64 48
4:00 Afternoon 62 57 69 67
60 60 70 60
58 55 72 66
9:00 Evening 100 97 127 105
96 96 120 101
103 101 126 107
  1. Test for interaction between time-of-day and the position of the advertisement with a =.05 . Justify your answer quantitatively. (10 points)
  2. Test the significance of the time-of-day effects with a = .05 . Justify your answer quantitatively. (5 points)
  3. Make a pairwise (Tukey 95% simultaneous confidence intervals) comparison of the morning and evening times. Justify your answer quantitatively. (5 Points)
  4. Make a pairwise (Tukey 95% simultaneous confidence intervals) comparison of the early and late ad positions. Show the manual calculations, (5 Points)
  5. Which time-of-day and advertisement position maximizes the consumer response? Compute a 95% (individual) confidence interval for the mean number of calls placed for this time of day/ad position combination. Show the manual calculations. (10 Points)

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