(a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? Ho: O 0 H₁:0 (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 33 minutes. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) the hypothesis that μ is (Choose one) (Choose one) when, in fact, u is (Choose one)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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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, μ,
spent by customers at the supermarkets has been reported to be 40 minutes, but executives have good reason to believe that µ is different from 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
36 minutes and the standard deviation of the times to be 15 minutes.
Based on this information, complete the parts below.
(a) What are the null hypothesis and the alternative hypothesis H₁ that should be used for the test?
Ho
H₁:0
(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 33 minutes. Fill in the blanks to
describe a Type II error.
:
the hypothesis that u is (Choose one)
A Type II error would be (Choose one)
(Choose one) ▼ when, in fact, μ is (Choose one)
нх
0<0
OSO
0²0 ロ=ロ
□<口
0#0
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 µ is different from 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 36 minutes and the standard deviation of the times to be 15 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis and the alternative hypothesis H₁ that should be used for the test? Ho H₁:0 (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 33 minutes. Fill in the blanks to describe a Type II error. : the hypothesis that u is (Choose one) A Type II error would be (Choose one) (Choose one) ▼ when, in fact, μ is (Choose one) нх 0<0 OSO 0²0 ロ=ロ □<口 0#0
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