The National Weather Service says that the mean daly high temperature for October in a argemidwestem ity is 52 "F. A local weather service suspects that this value is not acurate and wants to perform a hypothesis tes to detemine whether the meanis actully ower han 52 F. A sample of mean daly high temperatures for October ver he past 32 years ieds x = 50 "F. Assume tht the population standard deviation is 5.2 °F. Perform the hypothesis test at the a=0.05 signficance level. Ho : µ = 52 °F Hị : µ< 52 °F_ Test statistic : z = -2.18 Critical value : z = -1.64 Reject Ho : = 52 °F there is sufficient evidence to support the claim that the mean is less than 52 °F. Ho : µ = 52 °F Hị : µ > 52 °F Test statistic : z =-2.18 Critical value : z = -1.64 Fail to reject H, : u = 52 °F there is not sufficient evidence to support the claim that the mean is less than 52 °F.

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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 32 years ields x = 50 F. Assume that the population standard deviation is 5.2 °F. Perform the hypthesis test at the
a=005 signficnce level.
Ho : u = 52 °F
H1 : u< 52 °F
Test statistic :z =-2.18
Critical value : z =-1.64
Reject H, : u = 52 °F there is sufficient evidence to support the claim that the mean is less
than 52 °F.
Ho : u = 52 °F
H1 : u> 52 °F
Test statistic : z=-2.18
Critical value : z = -1.64
Fail to reject H, : jµ = 52 °F there is not sufficient evidence to support the claim that the
mean is less than 52 °F.
Transcribed Image Text: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 32 years ields x = 50 F. Assume that the population standard deviation is 5.2 °F. Perform the hypthesis test at the a=005 signficnce level. Ho : u = 52 °F H1 : u< 52 °F Test statistic :z =-2.18 Critical value : z =-1.64 Reject H, : u = 52 °F there is sufficient evidence to support the claim that the mean is less than 52 °F. Ho : u = 52 °F H1 : u> 52 °F Test statistic : z=-2.18 Critical value : z = -1.64 Fail to reject H, : jµ = 52 °F there is not sufficient evidence to support the claim that the mean is less than 52 °F.
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