In: Statistics and Probability
Use the following information to answer the remaining questions.
An advertising manager is interested in whether having a celebrity chef in a commercial for cookware will influence audience’s perceptions of the product. Her thinking is that a celebrity chef may improve the product image, but it may also distract the audience and make them think the product was less useful. It is known from the prior focus groups that the average usefulness of the cookware was 45, and the standard deviation was 21. The manager had a new group of 49 volunteers watch the new commercial with Justin Warner (yes, he is a famous celebrity chef in case you are wondering…), and then asked them to rate the usefulness of the cookware. The average score of the 49 volunteers was 54.
Question 10 (1 point)
This is a one-tailed test.
Question 10 options:
True | |
False |
Question 11 (1 point)
Population 1 is ____ ; Population 2 is ____.
Question 11 options:
People who watched the celebrity chef ; People who didn't watch the celebrity chef |
|
People who didn't watch the celebrity chef ; a random group of people chosen after the study has been run |
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People who didn't watch the celebrity chef ; People who watched the celebrity chef |
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People who watched the celebrity chef ; a random group of people chosen after the study has been run |
Question 12 (1 point)
Restate the question as a null hypothesis and an research hypothesis.
Question 12 options:
Ho: μ1 = μ2 ; H1: μ1 < μ2 |
|
Ho: μ1 ≠ μ2 ; H1: μ1 = μ2 |
|
Ho: μ1 ≠ μ2 ; H1: μ1 ≠ μ2 |
|
Ho: μ1 = μ2 ; H1: μ1 > μ2 |
|
Ho: μ1 = μ2 ; H1: μ1 = μ2 |
|
Ho: μ1 = μ2 ; H1: μ1 ≠ μ2 |
Question 13 (1 point)
Question 13 options:
What is μM
Question 14 (1 point)
The shape of the comparison distribution is normal.
Question 14 options:
True | |
False |
Question 15 (1 point)
Question 15 options:
What is σMσM
Question 16 (1 point)
Assuming the alpha level of .01, determine the cutoff score on the comparison distribution at which the null hypothesis will be rejected.
Question 16 options:
-2.33 |
|
+ or - 1.96 |
|
-1.96 |
|
-2.58 |
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+2.58 |
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+2.33 |
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+ or - 2.58 |
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+ or -2.33 |
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+1.96 |
Question 17 (1 point)
ZobsZobs
Question 17 options:
.33 |
|
-3 |
|
3 |
|
9 |
|
18 |
|
15 |
Question 18 (1 point)
Which of the following is correct?
A) We reject the null hypothesis.
B) We do not find support for the research hypothesis.
C) We retain the null hypothesis.
D) We find support for the research hypothesis.
E) The ratings of the cookware's usefulness when using a celebrity chef was significantly higher than when not.
Question 18 options:
Only A is correct. |
|
Only B is correct. |
|
Only D is correct. |
|
B and C are correct. |
|
A, D, and E are all correct. |
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None are correct. |
Question 19 (1 point)
Question 19 options:
What is the point estimate of the population mean score for people who watched the commercial with Justin Warner in it?
Question 20 (1 point)
Based on this point estimate, calculate the effect size for product usefulness of having Justin Warner in the commercial. Determine if it is a small, medium, or large effect.
Question 20 options:
.43 ; medium |
|
2.33 ; large |
|
.14 ; medium |
|
.43 ; small |
|
2.33 ; medium |
|
.43 ; large |
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2.33 ; small |
|
.14 ; large |
|
.14 ; small |
Question 21 (1 point)
What are the upper and lower limits of a 95% confidence interval for the population mean of the product attractiveness based on the Justin Warner version of the commercial?
Question 21 options:
Upper = 57; Lower = 51 |
|
Upper = 55.96 ; Lower = 52.04 |
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Upper = 54 ; Lower = 45 |
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Upper = 59.88 ; Lower =48.12 |
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Upper = 3.02 ; Lower = 1.96 |
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Upper = 5.88 ; Lower = 1.96 |
The manager consulted another researcher for the problem and the researcher would like to determine the power of a different hypothesis testing. This researcher thinks that Justin Warner’s image only fits with the product okay, and having him in the commercial will only have a medium effect size on boosting the perceived usefulness of the cookware. It is known from the prior focus groups that the average usefulness of the cookware was 45, and the standard deviation was 21. What would the power of a statistical test be if he decided to collect data from another sample of 49 people and set the alpha to be .05?
Question 22 (1 point)
Question 22 options:
Expected μM1 =
Question 23 (1 point)
Calculate the raw score cutoff
Question 23 options:
136.64 |
|
45 |
|
1.64 |
|
3 |
|
49.92 |
|
79.44 |
|
4.92 |
|
2.53 |
Question 24 (1 point)
Z score on the distribution of means for population 1
Question 24 options:
55.5 |
|
18.5 |
|
-5.58 |
|
-1.86 |
|
16.64 |
Question 25 (1 point)
Figure out power
Question 25 options:
100% |
|
50% |
|
46.86% |
|
96.86% |
|
3.14% |
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