A large national study conducted in 2004 found that the mean systolic blood pres

Question

A large national study conducted in 2004 found that the mean systolic blood pressure for males aged 50 was 130 with a standard deviation of 15 (assume this is the population standard deviation). Researchers hypothesize that due to increased stress in the workplace, systolic blood pressures have increased. In order to test this hypothesis a random sample of 200 males aged 50 in 2014 was selected and found to have a mean systolic Il credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available of th

Explanation / Answer

1)
H0 : mu = 136
Ha: mu > 136

2) Here, we used z test

3) In an upper tailed Z test, if =0.05 then the critical value is Z=1.645.
The decision rule is: Reject H0 if Z > 1.645.

4) x = 130 , s = 15 , n = 200

z = ( x - mean ) / (s/sqrt(n))
= ( 130 -136) / (15 / sqrt(200))
= -5.657

5) Here, z value is less than critical value , we fail to reject the null hypothesis.

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