At LLD hucu. ds, some of the market research of college students is done during promotions on college campuses, while other market research of college students is done through anonymous mail, phone, internet, and record store questionnaires. In all cases, for each new CD the company solicits an "intent-to- purchase" score from the student, with 0 being the lowest score ("no intent to purchase") and 100 being the highest score ("full intent to purchase"). The manager finds the following information for 125 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 25 71.3 176.0 By mail 25 61.0 90.0 By phone 25 65.3 166.7 By internet 25 64.9 83.9 In a store 25 64.3 85.7 Send data to calculator Send data to Excel The manager's next step is to conduct a one-way, independent-samples ANOVA test to decide if there is a difference in the mean intent-to-purchase score for this CD depending on the method of collecting the scores. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test? (b) What is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA | test?
At LLD hucu. ds, some of the market research of college students is done during promotions on college campuses, while other market research of college students is done through anonymous mail, phone, internet, and record store questionnaires. In all cases, for each new CD the company solicits an "intent-to- purchase" score from the student, with 0 being the lowest score ("no intent to purchase") and 100 being the highest score ("full intent to purchase"). The manager finds the following information for 125 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 25 71.3 176.0 By mail 25 61.0 90.0 By phone 25 65.3 166.7 By internet 25 64.9 83.9 In a store 25 64.3 85.7 Send data to calculator Send data to Excel The manager's next step is to conduct a one-way, independent-samples ANOVA test to decide if there is a difference in the mean intent-to-purchase score for this CD depending on the method of collecting the scores. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test? (b) What is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA | test?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Transcribed Image Text:At LLD hocu. ds, some of the market research of college students is done during promotions on college campuses, while other market research of college
students is done through anonymous mail, phone, internet, and record store questionnaires. In all cases, for each new CD the company solicits an "intent-to-
purchase" score from the student, with 0 being the lowest score ("no intent to purchase") and 100 being the highest score ("full intent to purchase").
The manager finds the following information for 125 intent-to-purchase scores for a soon-to-be-released CD:
Sample Sample Sample
size
Group
mean
variance
On campus
25
71.3
176.0
By mail
25
61.0
90.0
By phone
25
65.3
166.7
By internet
25
64.9
83.9
In a store
25
64.3
85.7
Send data to calculator
Send data to Excel
The manager's next step is to conduct a one-way, independent-samples ANOVA test to decide if there is a difference in the mean intent-to-purchase score for
this CD depending on the method of collecting the scores.
Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.
(a) What is the value of the mean square for treatments (the
"between groups" mean square) that would be reported in the
ANOVA test?
(b) What is the value of the mean square for error (the "within
groups" mean square) that would be reported in the ANOVA
test?
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