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, 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 115 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 23 67.6 80.9 By mail 23 67.3 135.2 By phone 23 67.7 68.2 By internet 23 59.7 107.3 In a store 23 61.3 54.1 Send data to calculator Send data to Excel Suppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the same mean and the same variance. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.

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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, 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 115 intent-to-purchase scores for a soon-to-be-released CD:
Sample Sample Sample
size
Group
mean
variance
On campus
23
67.6
80.9
By mail
23
67.3
135.2
By phone
23
67.7
68.2
By internet
23
59.7
107.3
In a store
23
61.3
54.1
Send data to calculator
Send data to Excel
Suppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the same mean and the
same variance.
Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.
(a) Give an estimate of this common population variance by
pooling the sample variances given.
(b) Give an estimate of this common population variance based
on the variance of the sample means given.
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, 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 115 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 23 67.6 80.9 By mail 23 67.3 135.2 By phone 23 67.7 68.2 By internet 23 59.7 107.3 In a store 23 61.3 54.1 Send data to calculator Send data to Excel Suppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the same mean and the same variance. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) Give an estimate of this common population variance by pooling the sample variances given. (b) Give an estimate of this common population variance based on the variance of the sample means given.
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