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 40 minutes, but executives have good reason to believe that μ is less than 40 minutes. The executives hire a statistical consultant and ask her to perform a statistical test. 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 34 minutes and the standard deviation of the times to be 10 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H, that should be used for the test? Ho :O (b) Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making? (Choose one) (c) Suppose the true mean shopping time spent by customers at the supermarkets is 40 minutes. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) when, in fact, u is (Choose one) μ X OO 020 0-0 0-0 X 5
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 40 minutes, but executives have good reason to believe that μ is less than 40 minutes. The executives hire a statistical consultant and ask her to perform a statistical test. 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 34 minutes and the standard deviation of the times to be 10 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis H and the alternative hypothesis H, that should be used for the test? Ho :O (b) Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making? (Choose one) (c) Suppose the true mean shopping time spent by customers at the supermarkets is 40 minutes. Fill in the blanks to describe a Type I error. A Type I error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) when, in fact, u is (Choose one) μ X OO 020 0-0 0-0 X 5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Supermarket
Transcribed Image Text: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 40 minutes, but executives have good reason to believe that is less than 40 minutes. The
executives hire a statistical consultant and ask her to perform a statistical test.
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 34
minutes and the standard deviation of the times to be 10 minutes.
Based on this information, complete the parts below.
(a) What are the null hypothesis H and the alternative hypothesis H, that should be used for the test?
Ho :O
1
(b) Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be making?
(Choose one)
(c) Suppose the true mean shopping time spent by customers at the supermarkets is 40 minutes. Fill in the blanks to
describe a Type I error.
A Type I error would be (Choose one) the hypothesis that μ is (Choose one)
(Choose one)
when, in fact, μ is (Choose one)
HX
O<O
OSO
020 0=0
X
O<O
0*0
Ś
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Follow-up Question
Something is wrong in the answer c. could you please help?
the options are: Rejecting or fail to reject
less than, less than or equal to, greater than, greater than or equal to, not equal to, equal to
40 43 10
equal to 10, equal to 40, less than 10, less than 34, less than 40, greater than 40
Solution
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