Answered: What are the null hypothesis (H,) and…

Name: Executives of a supermarket chain are interested in the amount of time
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shipping time, μ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire

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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Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shipping time, μ, spent by customers at the supermarkets has been reported to be 40 minutes, but executives hire a statistical consultant and ask her to determine whether it can be concluded that μ is less than 40 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 34 minutes and the standard deviation of the times to be 16 minutes. Based on the information, answer the questions below.

What are the null hypothesis (H,) and the alternative hypothesis (H,) that should be used for the test?
Ho: H is ?
Hu is ?
In the context of this test, what is a Type II error?
A Type II error is ?
v the hypothesis that u is?
v when, in
fact, u is ?
Suppose that the consultant decides to reject the null hypothesis. What sort of error might she be
making? ?

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