Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ , spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 28 minutes and the standard deviation of the times to be 12 minutes. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228 In the context of this test, what is a Type II error? A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making? ?Type IType II
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, μ , spent by customers at the supermarkets has been reported to be 35 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 35 minutes. To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 28 minutes and the standard deviation of the times to be 12 minutes. Based on this information, answer the questions below. What are the null hypothesis ( H0 ) and the alternative hypothesis ( H1 ) that should be used for the test? H0 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228 H1 : μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228 In the context of this test, what is a Type II error? A Type II error is ?rejectingfailing to reject the hypothesis that μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228 when, in fact, μ is ?less thanless than or equal togreater thangreater than or equal tonot equal toequal to ?351228. Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making? ?Type IType II
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time,
, spent by customers at the supermarkets has been reported to be
minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that
is less than
minutes.
minutes and the standard deviation of the times to be
minutes.
μ
35
μ
35
To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be
28
12
Based on this information, answer the questions below.
| What are the null hypothesis (
H0
H1
H0
μ
H1
μ
In the context of this test, what is a Type II error? A Type II error is ?rejectingfailing to reject the hypothesis that μ
μ
Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making? ?Type IType II |
|
|
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