1. Use the method specified to performthe hypothesis test for the population mea

Question

1.     Use the method specified to performthe hypothesis test for the population

mean m. WeatherBug say that the mean daily high for December ina large Florida city is F. WFLA weather suspects that thistemperature is not accurate. A hypothesis test is performed thedetermine if the mean is actually lower than F. Assumethat the population standard deviation of s = F. A sample of meandaily temperatures for December over the past 40 years gives F.At a = 0.01, does the data provide sufficient evidence toconclude that the mean temperature is lower than F.

a. Use the critical value z0method from the normal distribution.

1.    H0:

Ha :

2.    a=

3.    Teststatistics:

4.    P-value orcritical z0 or t0.   

5.    RejectionRegion:

6.   Decision:

7.    Interpretation:

b.    Use the P-valuemethod.

1.    H0:

Ha :

2.    a=

3.    Teststatistics:

4.    P-value orcritical z0 or t0.

5.    RejectionRegion:

6.   Decision:

7.   Interpretation:

Explanation / Answer

Use the method specified to perform the hypothesis test for thepopulation

mean m. WeatherBug say that the mean daily high for December ina large Florida city is F. WFLA weather suspects that thistemperature is not accurate. A hypothesis test is performed thedetermine if the mean is actually lower than F. Assumethat the population standard deviation of s = F. A sample of meandaily temperatures for December over the past 40 years gives F.At a = 0.01, does the data provide sufficient evidence toconclude that the mean temperature is lower than F.

a. Use the critical value z0method from the normal distribution.

1.    H0: <F

Ha : >F or =F

2.    a=.01

3.    Test statistics:z*=(-F)/=(-F)/F=0, because=F and s=F

4.    P-value orcritical z0 or t0. P(z<zo)=.01=.5-P(0<z<-zo) orP(0<z<-zo)=.49, zo=-2.33

5.    Rejection Region:z*<-2.33

6.    Decision: fail toreject

7.   Interpretation: Not enough evidence to reject nullhypothesis

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