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The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 57°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 57°FA sample of mean daily high temperatures for October over past 30 years yields X = 55° F Assume that the population standard deviation is 5.7°F. Perform the hypothesis test at the a = 0.01 significance level. %3D

The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 57°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 57°FA sample of mean daily high temperatures for October over past 30 years yields X = 55° F Assume that the population standard deviation is 5.7°F. Perform the hypothesis test at the a = 0.01 significance level. %3D

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 57°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 57UF A sample of mean daily high temperatures for October over past 30 years yields X = 55° F Assume that the population standard deviation is 5.7°F. Perform the hypothesis test at the a = 0.01 significance level. H:µ=57°F H:µ>57° F a Test statisticS: z= -1.92 Critical Value: z= -2.33 H, : µ= 57° F rd : H : µ=57° F Fail to reject there is not sufficient evidence to support the claim that the mean is greater than 57°F. H:µ<57° F a Test statistics: z= -1.92 Critical Value: z= -2.33 Fait to reject H. = 57° F there is not sufficient evidence to support the claim that the mean is less than 57 FE.
Transcribed Image Text:The National Weather Service says that the mean daily high temperature for October in a large Midwestern city is 57°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 57UF A sample of mean daily high temperatures for October over past 30 years yields X = 55° F Assume that the population standard deviation is 5.7°F. Perform the hypothesis test at the a = 0.01 significance level. H:µ=57°F H:µ>57° F a Test statisticS: z= -1.92 Critical Value: z= -2.33 H, : µ= 57° F rd : H : µ=57° F Fail to reject there is not sufficient evidence to support the claim that the mean is greater than 57°F. H:µ<57° F a Test statistics: z= -1.92 Critical Value: z= -2.33 Fait to reject H. = 57° F there is not sufficient evidence to support the claim that the mean is less than 57 FE.
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