A house cleaning service claims that it can clean a four-bedroom house in less than 2 hours. A sample of 36 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours. Using a 5% level of significance, the correct conclusion is: Do not reject the null hypothesis because the test statistic (-1.8) is greater than the critical value (-1.96) Do not reject the null hypothesis Obecause the test statistic (-1.8) is less than the critical value (-1.64). None of the choices

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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A house cleaning service
claims that it can clean a
four-bedroom
house in less
than 2 hours. A sample of 36
houses is taken and the
sample mean is found to be
1.97 hours and the sample
standard deviation is found
to be 0.1 hours. Using a 5%
level of significance, the
correct conclusion is:
Do not reject the null hypothesis
because the test statistic (-1.8) is
greater than the critical value (-1.96)
Do not reject the null hypothesis
because the test statistic (-1.8) is
less than the critical value (-1.64).
None of the choices
Reject the null hypothesis because
the test statistic (-1.8) is less than
the critical value (-1.64).
Reject the null hypothesis because
the test statistic (-1.8) is greater
than the critical value (-1.96).
Transcribed Image Text:A house cleaning service claims that it can clean a four-bedroom house in less than 2 hours. A sample of 36 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours. Using a 5% level of significance, the correct conclusion is: Do not reject the null hypothesis because the test statistic (-1.8) is greater than the critical value (-1.96) Do not reject the null hypothesis because the test statistic (-1.8) is less than the critical value (-1.64). None of the choices Reject the null hypothesis because the test statistic (-1.8) is less than the critical value (-1.64). Reject the null hypothesis because the test statistic (-1.8) is greater than the critical value (-1.96).
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