A market researcher collects a simple random sample of customers from a population of over a million​ customers that use a home improvement website. After analyzing the​ sample, she states that she has​ 95% confidence that the mean​ time customers spent on​ that website per day is between 17 and 54 minutes. Suppose that the population mean​ time customers spent on that website is 14 minutes a day. Does this value of the population mean help to show that the confidence interval estimate is​ correct? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A market researcher collects a simple random sample of customers from a population of over a million​ customers that use a home improvement website. After analyzing the​ sample, she states that she has​ 95% confidence that the mean​ time customers spent on​ that website per day is between
17
and
54
minutes. Suppose that the population mean​ time customers spent on that website is
14
minutes a day. Does this value of the population mean help to show that the confidence interval estimate is​ correct? Explain.
 
 
 

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Part 1
Choose the correct answer below.
 
 
A.
​No, because the population​ mean,
μ​,
is not the midpoint of the confidence interval estimate.
 
B.
​Yes, because the population​ mean,
μ
is within​ 95% of the midpoint of the confidence interval estimate.
 
C.
No​,
because the population​ mean,
μ​,
is not
included within the confidence interval estimate.
 
D.
Yes, because the population mean, μ, is relatively close to
the confidence interval estimate.
 
E.
Yes​,
because the population​ mean,
μ​,
is
included within the confidence interval estimate.
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