A manager at LLD Records is investigating the company's market research techniques. She learns that much of the market research of college students is done during promotions on college campuses. She also learns that there are other methods of performing market research (for instance, over the phone, in a mall, etc.). In all cases, for each new CD that LLD Records releases, the company solicits an "intent-to-purchase" score from the student, with 1 being the lowest score ("no intent to purchase") and 100 being the highest score ("full intent to purchase"). The manager finds some information on a soon-to-be-released CD. The information details the intent-to-purchase scores from each of several groups of college students, with each group being questioned via ANOVA test of the hypothesis that the mean intent-to-purchase score for this CD is the same no matter the method of score collection. This test is summarized in the ANOVA table below. different method. Based on this information, the manager is able to perform a one-way, independent-samples (a) Fill in the missing entry in the ANOVA table (round your answer to at least two decimal places). Source of Degrees of Sum of Mean square F statistic variation freedom squares Between 3 926.25 308.75 groups Error 96 8570.4 89.28 (within groups) Total 99 9496.65

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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(b) How many methods of score collection were examined by the manager?
(c) For the ANOVA test, it is assumed that the population variances of intent-to-purchase scores are the same no matter the method of score collection.
What is an unbiased estimate of this common population variance based on the sample variances?
?
(d) Using the 0.01 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places.
(e) Based on this ANOVA, can we conclude that there are differences in the mean intent-to-purchase scores (for this CD) among the different methods of
collection? Use the 0.01 level of significance.
OYes
ONo
Transcribed Image Text:(b) How many methods of score collection were examined by the manager? (c) For the ANOVA test, it is assumed that the population variances of intent-to-purchase scores are the same no matter the method of score collection. What is an unbiased estimate of this common population variance based on the sample variances? ? (d) Using the 0.01 level of significance, what is the critical value of the F statistic for the ANOVA test? Round your answer to at least two decimal places. (e) Based on this ANOVA, can we conclude that there are differences in the mean intent-to-purchase scores (for this CD) among the different methods of collection? Use the 0.01 level of significance. OYes ONo
A manager at LLD Records is investigating the company's market research techniques. She learns that much of the market research of college students is done
during promotions on college campuses. She also learns that there are other methods of performing market research (for instance, over the phone, in a mall,
etc.). In all cases, for each new CD that LLD Records releases, the company solicits an "intent-to-purchase" score from the student, with 1 being the lowest
score ("no intent to purchase") and 100 being the highest score ("full intent to purchase").
The manager finds some information on a soon-to-be-released CD. The information details the intent-to-purchase scores from each of several groups of college
students, with each group being questioned via a different method. Based on this information, the manager is able to perform a one-way, independent-samples
ANOVA test of the hypothesis that the mean intent-to-purchase score for this CD is the same no matter the method of score collection. This test is summarized
in the ANOVA table below.
(a) Fill in the missing entry in the ANOVA table (round your answer to at least two decimal places).
Source of
Degrees of
Sum of
Mean square
F statistic
?
variation
freedom
squares
Between
3
926.25
308.75
groups
Error
96
8570.4
89.28
(within
groups)
Total
99
9496.65
Transcribed Image Text:A manager at LLD Records is investigating the company's market research techniques. She learns that much of the market research of college students is done during promotions on college campuses. She also learns that there are other methods of performing market research (for instance, over the phone, in a mall, etc.). In all cases, for each new CD that LLD Records releases, the company solicits an "intent-to-purchase" score from the student, with 1 being the lowest score ("no intent to purchase") and 100 being the highest score ("full intent to purchase"). The manager finds some information on a soon-to-be-released CD. The information details the intent-to-purchase scores from each of several groups of college students, with each group being questioned via a different method. Based on this information, the manager is able to perform a one-way, independent-samples ANOVA test of the hypothesis that the mean intent-to-purchase score for this CD is the same no matter the method of score collection. This test is summarized in the ANOVA table below. (a) Fill in the missing entry in the ANOVA table (round your answer to at least two decimal places). Source of Degrees of Sum of Mean square F statistic ? variation freedom squares Between 3 926.25 308.75 groups Error 96 8570.4 89.28 (within groups) Total 99 9496.65
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