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 4 1783.73 445.93 groups Error 15,744.4 112.46 (within groups) 140 Total 144 17,528.13 (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? O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND ANOVA ANOVA: Hypothesis tests and the ANOVA table Emmanuel Degrtes or freedom Mean square F statistic on squares Between 4 1783.73 445.93 groups Error (within groups) 140 15,744.4 112.46 Total 144 17,528.13 Aa (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 0.05 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 0.05 level of significance. OYes ONo Aetivate Wim Ce te Settinos to Explanation Check O2020 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy | Accessibility A D Type here to search II