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At LLD Records, 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 105 intent-to-purchase scores for a soon-to-be-released CD:

At LLD Records, 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 105 intent-to-purchase scores for a soon-to-be-released CD:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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At LLD Records, 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 105 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 21 66.2 159.5 By mail 21 55.5 177.7 By phone 21 65.0 62.5 By internet 21 67.0 130.7 In a store 21 63.9 161.2 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?
Transcribed Image Text:At LLD Records, 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 105 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 21 66.2 159.5 By mail 21 55.5 177.7 By phone 21 65.0 62.5 By internet 21 67.0 130.7 In a store 21 63.9 161.2 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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