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 100 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 20 63.3 100.2 By mail 20 59.1 181.6 By phone 20 62.5 119.9 By internet 20 65.6 64.4 In a store 20 64.8 137.2 Send data to calculator uppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the ame mean and the same variance. nswer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least ne 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.
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 100 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 20 63.3 100.2 By mail 20 59.1 181.6 By phone 20 62.5 119.9 By internet 20 65.6 64.4 In a store 20 64.8 137.2 Send data to calculator uppose that the five populations of scores from which these samples were drawn are approximately normally distributed and have the ame mean and the same variance. nswer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least ne 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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 100 intent-to-purchase scores for a soon-to-be-released CD:
Sample Sample Sample
Group
size
mean
variance
On campus
20
63.3
100.2
By mail
20
59.1
181.6
By phone
20
62.5
119.9
By internet
20
65.6
64.4
In a store
20
64.8
137.2
Send data to calculator
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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