knowledge check 3
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Feb 20, 2024
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Knowledge check 3
It is important to sponsor of television shows that viewers remember as much as possible about the commercials. The advertising executive of a large company is trying to decide which of two commercials to use on a weekly half-hour comedy. To help make a decision she decides to have 12 individuals watch both commercials. After each viewing, each respondent is given a quiz consisting of 10 questions. The number of correct responses is recorded and listed below. Do these data provide enough evidence to conclude that commercial 2 is more memorable? Assume that the quiz results are not normally distributed.
Use α = .05.
Respondent
Commercial 1
Commercial 2
1
7
9
2
8
9
3
6
6
4
10
10
5
5
4
6
7
9
7
5
7
8
4
5
9
6
8
10
7
9
11
5
6
12
8
10
-
Which nonparametric technique should be used?
Mann-Whitney Rank Sum Test
Sign Test
Wilcoxon Signed Rank Sum Test
-
What is the alternative hypothesis?
Commercial 2 < Commercial 1
Commercial 2 > Commercial 1
Commercial 2 ≠ Commercial 1
-
Test statistics p-value is? (Keep to the third decimals, e.g. 0.123)
-
Do these data provide enough evidence to conclude that commercial 2
is more memorable?
Knowledge check 3
Yes
No
The marketing manager of a pizza chain is in the process of examining some of the demographic characteristics of her customers. In particular, she would like to investigate the belief that the ages of the customers of pizza parlors, hamburger emporiums, and fast-food chicken restaurants are different. As an experiment, the ages of eight customers of each of the restaurants are recorded and listed below. Do these data provide enough evidence at the 10% significance level to conclude that there are differences in ages among the customers of the three restaurants? From previous analyses, we know that the ages are not normally distributed.
Customer Ages
Pizza
Hamburger
Chicken
23
26
25
19
20
28
25
18
36
17
35
23
36
33
39
25
25
27
28
19
38
31
17
31
-
Which nonparametric technique should be used?
Kruskal–Wallis Test
Mood’s Test
Friedman Test
-
What is the alternative hypothesis?
Only one of the c populations is different
The c populations are identical
At least one of the c populations is different
-
Test statistics p-value is?
(Keep to the third decimals, e.g. 0.123)
-
Can we conclude at the 10% significance level that there are differences in ages among the customers of the three restaurants?
Yes
No
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