Question
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
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 the following table, 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 Excel to analyze these data, we obtain the output in the table below.
The Telemarketing Data and the Excel Output of a Two-Way ANOVA
Position of Advertisement
Time of Day
On the Hour
On the Half-Hour
Early in Program
Late in Program
10:00 morning
42
35
63
50
35
40
65
47
41
39
66
48
4:00 afternoon
60
58
86
68
61
63
82
61
58
53
82
65
9:00 evening
105
96
129
101
94
97
124
105
104
102
129
106
ANOVA: Two-Factor With Replication
Summary
Hour
Half-Hour
Early
Late
Total
Morning
Count
3
3
3
3
12
Sum
118
114
194
145
571
Average
39.33
38.00
64.67
48.33
47.58
Variance
14.33
7.00
2.33
2.33
128.08
Afternoon
Count
3
3
3
3
12
Sum
179
174
250
194
797
Average
59.67
58.00
83.33
64.67
66.42
Variance
2.33
25.00
5.33
12.33
118.81
Evening
Count
3
3
3
3
12
Sum
303
295
382
312
1,292
Average
101.00
98.33
127.33
104.00
107.67
Variance
37.00
10.33
8.33
7.00
156.42
Total
Count
9
9
9
9
Sum
600
583
826
651
Average
66.67
64.78
91.78
72.33
Variance
754.00
718.94
780.44
619.50
ANOVA
Source of Variation
SS
df
MS
F
P-Value
F crit
Sample
22,665.06
2
11,332.53
1,017.38
.0000
3.403
Columns
4,118.44
3
1,372.81
123.25
.0000
3.009
Interaction
50.72
6
8.45
.76
.6089
2.508
Error
267.33
24
11.139
Total
27,101.56
35
(b)Test the significance of time of day effects with= .05.
(c)Test the significance of position of advertisement effects with= .05.
(d)Make pairwise comparisons of the morning, afternoon, and evening times by using Tukeysimultaneous 95 percent confidence intervals.(Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)
(e)Make pairwise comparisons of the four ad positions by using Tukey simultaneous 95 percent confidence intervals.(Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)
(f)Which time of day and advertisement position maximizes consumer response? Compute a 95 percent (individual) confidence interval for the mean number of calls placed for this time of day/ad position combination.(Round your answers to 2 decimal places.)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 the following table, 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 Excel to analyze these data, we obtain the output in the table below.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started
Business Statistics In Practice
Authors: Bruce Bowerman, Richard O'Connell
6th Edition
0073401838, 978-0073401836
