Set up hypothesis statements for the following scenario: Do middle-aged male exe

Question

Set up hypothesis statements for the following scenario: Do middle-aged male executives have different (higher or lower) blood pressure than the general population? The mean systolic blood pressure for the general population of males is 127 and the standard deviation is 7. The medical director looks at the medical records of 72 male executives and finds the mean systolic blood pressure in this sample is equal to 126.1 Is this evidence that male executives have significantly different blood pressure than the national average?

Explanation / Answer

Set Up Hypothesis
Null Hypothesis H0: U=127
Alternate, executives have significantly diff blood pressure H1: U!=127
Test Statistic
Population Mean(U)=127
Given That X(Mean)=126.1
Standard Deviation(S.D)=7
Number (n)=72
we use Test Statistic (Z) = x-U/(s.d/Sqrt(n))
Zo=126.1-127/(7/Sqrt(72)
Zo =-1.091
| Zo | =1.091
Critical Value
The Value of |Z | at LOS 0.02% is 2.33
We got |Zo| =1.091 & | Z | =2.33
Make Decision
Hence Value of |Zo | < | Z | and Here we Do not Reject Ho
P-Value : Two Tailed ( double the one tail ) - Ha : ( P != -1.091 ) = 0.2753
Hence Value of P0.02 < 0.2753, Here We Do not Reject Ho

We don;t have evidence that male executives have significantly different blood pressure
than the national average

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