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he National Weather Service says that the mean daily high temperature for October in a large midwestern city is  52°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  52°F . A sample of mean daily high temperatures for October over the past  39  years yields  =x50°F . Assume that the population standard deviation is  5.2°F . Perform the hypothesis test at the  =α0.05  significance level.     H0  :  =μ52°F H1  :  <μ52°F Test statistic :  =z−2.4 Critical value :  =z−1.64 Reject  =:H0μ52°F  there is sufficient evidence to support the claim that the mean is less than  52°F .     H0  :  =μ52°F H1  :  >μ52°F Test statistic :  =z−2.4 Critical value :  =z−1.64 Fail to reject  =:H0μ52°F  there is not sufficient evidence to support the claim that the mean is less than  52°F

he National Weather Service says that the mean daily high temperature for October in a large midwestern city is  52°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  52°F . A sample of mean daily high temperatures for October over the past  39  years yields  =x50°F . Assume that the population standard deviation is  5.2°F . Perform the hypothesis test at the  =α0.05  significance level.     H0  :  =μ52°F H1  :  <μ52°F Test statistic :  =z−2.4 Critical value :  =z−1.64 Reject  =:H0μ52°F  there is sufficient evidence to support the claim that the mean is less than  52°F .     H0  :  =μ52°F H1  :  >μ52°F Test statistic :  =z−2.4 Critical value :  =z−1.64 Fail to reject  =:H0μ52°F  there is not sufficient evidence to support the claim that the mean is less than  52°F

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 

52°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 

52°F

. A sample of mean daily high temperatures for October over the past 

39

 years yields 

=x50°F

. Assume that the population standard deviation is 

5.2°F

. Perform the hypothesis test at the 

=α0.05

 significance level.

 
 
H0
 : 
=μ52°F

H1
 : 
<μ52°F

Test statistic : 
=z−2.4

Critical value : 
=z−1.64

Reject 
=:H0μ52°F
 there is sufficient evidence to support the claim that the mean is less than 
52°F
.
 
 
H0
 : 
=μ52°F

H1
 : 
>μ52°F

Test statistic : 
=z−2.4

Critical value : 
=z−1.64

Fail to reject 
=:H0μ52°F
 there is not sufficient evidence to support the claim that the mean is less than 
52°F
.
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Calculus For The Life Sciences
Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
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