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 150 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 30 64.5 68.9 By mail 30 63.0 77.1 By phone 30 62.8 125.1 By internet 30 62.3 106.0 In a store 30 68.2 85.9 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 based on the variance of the sample means given. |(b) Give an estimate of this common population variance by pooling the sample variances 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 150 intent-to-purchase scores for a soon-to-be-released CD: Sample Sample Sample size Group mean variance On campus 30 64.5 68.9 By mail 30 63.0 77.1 By phone 30 62.8 125.1 By internet 30 62.3 106.0 In a store 30 68.2 85.9 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 based on the variance of the sample means given. |(b) Give an estimate of this common population variance by pooling the sample variances given.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Topic Video
Question
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 150 intent-to-purchase scores for a soon-to-be-released CD:
Sample Sample Sample
size
Group
mean
variance
On campus
30
64.5
68.9
By mail
30
63.0
77.1
By phone
30
62.8
125.1
By internet
30
62.3
106.0
In a store
30
68.2
85.9
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 based
on the variance of the sample means given.
(b) Give an estimate of this common population variance by
pooling the sample variances given.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman