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The National Weather Service says that the mean daily high temperature for October in a large midwestern city is 59 °F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 59 °F. A sample of mean daily high temperatures for October over the past 39 years yields x = 57 °F. Assume that the population standard deviation is 5.9 °F. Perform the hypothesis test at the a=0.05 significance level. H:p=59 °F H:p<59 °F Test statistic :z=-2.12 Critical value :z=-1.64 Reject H,:p=59 °F there is sufficient evidence to support the claim that the mean is less than 59 °F. H:p= 59 °F H:p>59 °F Test statistic : z=-2.12 Critical value :z=-1.64 Fail to reject H:u=59 °F there is not sufficient evidence to support the claim that the mean is less than 59 °F.

The National Weather Service says that the mean daily high temperature for October in a large midwestern city is 59 °F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 59 °F. A sample of mean daily high temperatures for October over the past 39 years yields x = 57 °F. Assume that the population standard deviation is 5.9 °F. Perform the hypothesis test at the a=0.05 significance level. H:p=59 °F H:p<59 °F Test statistic :z=-2.12 Critical value :z=-1.64 Reject H,:p=59 °F there is sufficient evidence to support the claim that the mean is less than 59 °F. H:p= 59 °F H:p>59 °F Test statistic : z=-2.12 Critical value :z=-1.64 Fail to reject H:u=59 °F there is not sufficient evidence to support the claim that the mean is less than 59 °F.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The National Weather Service says that the mean daily high temperature for October in a large midwestern city is 59 °F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 59 °F. A sample of mean daily high temperatures for October over the past 39 years yields x =57 °F. Assume that the population standard deviation is 5.9 °F. Perform the hypothesis test at the a=0.05 significance level. H:p=59 °F H:p<59 °F Test statistic: z=-2.12 Critical value : z=-1.64 Reject H:u=59 °F there is sufficient evidence to support the claim that the mean is less than 59 °F. Ho:H= 59 °F H: p> 59 °F Test statistic:z=-2.12 Critical value : z=-1.64 Fail to reject H:p=59 °F there is not sufficient evidence to support the claim that the mean is less than 59 °F.
Transcribed Image Text:The National Weather Service says that the mean daily high temperature for October in a large midwestern city is 59 °F. A local weather service suspects that this value is not accurate and wants to perform a hypothesis test to determine whether the mean is actually lower than 59 °F. A sample of mean daily high temperatures for October over the past 39 years yields x =57 °F. Assume that the population standard deviation is 5.9 °F. Perform the hypothesis test at the a=0.05 significance level. H:p=59 °F H:p<59 °F Test statistic: z=-2.12 Critical value : z=-1.64 Reject H:u=59 °F there is sufficient evidence to support the claim that the mean is less than 59 °F. Ho:H= 59 °F H: p> 59 °F Test statistic:z=-2.12 Critical value : z=-1.64 Fail to reject H:p=59 °F there is not sufficient evidence to support the claim that the mean is less than 59 °F.
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