VLLD Records is a store that specializes in old-fashioned vinyl records. Some of the store's market research of college students is done during promotions oncollege campuses, while other market research of college students is done through email, phone, website, and in-store questionnaires. In all cases, for eachvinyl 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 thehighest score ("full intent to purchase").The store manager finds the following information for 100 intent-to-purchase scores for a newly acquired vinyl record:GroupOn campusBy emailBy phoneOn thewebsiteIn the storePFOstly cloudy144HzSample Sample Samplesizemean variance2060.059.164.820202020Send data to calculatorExplanation62.169.1VCheck118.2107.3186.678.0Suppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the same mean and thesame variance.Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.81.2Send data to Excel(a) Give an estimate of this common population variance basedon the variance of the sample means given.(b) Give an estimate of this common population variance bynooling the sample variances nivenO Search0COW44E By em....By phoneOn thewebsiteIn the store75°FMostly cloudyFULLHD 144Hz20202020Explanation59.164.862.1Send data to calculator V69.1Check107.3186.6Suppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the same mean and thesame variance.Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.78.081.2Send data to Excel(a) Give an estimate of this common population variance basedon the variance of the sample means given.(b) Give an estimate of this common population variance bypooling the sample variances given.XO Search05C"cerW

a) Estimate of common population variance based on the variance of the sample means: Consider, the mean of the sample means, x¯¯=∑x¯iNumber of groups =60+59.1+64.8+62.1+69.15 =63.02 The estimate of population variance is, Variance estimate=∑x¯i-x¯¯2number of groups-1 =60-63.022+59.1-63.022+64.8-63.022+62.1-63.022+69.1-63.0225-1 =16.367 b) Estimate of common population variance by pooling the sample variances: Variance Estimate=n1-1s12+n2-1s22++n3-1s32++n4-1s42+n5-1s52n1+n2+n3+n4+n5-5 =20-1118.2+20-1107.32+20-1186.6+20-178+20-181.220+20+20+20+20-5 =114.26