LLD Records is a store that specializes in old-fashioned vinyl records. The store's market research of college students is done through several methods, including during promotions on college campuses, via email, on the website, etc. In all cases, for each vinyl record, 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 store manager finds some information on a newly acquired vinyl record. 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 record 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 variation Mean square F statistic freedom squares X Treatments (between groups) Error (within groups) Total 2 78 80 590.22 8182.2 8772.42 295.11 104.9 (b) How many methods of score collection were examined by the manager? 0 (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? (b) How many methods of score collection were examined by the manager? U (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? 0 (d) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places. 0 (e) Based on this ANOVA, can we conclude that there are differences in the mean intent-to-purchase scores (for this record) among the different methods of collection? Use the 0.05 level of significance. Yes O No X