Average systolic blood pressure of a normal male is supposed

Average systolic blood pressure of a normal male is supposed to be about 129. Measurements of systolic blood pressure on a sample of 12 adult males from a community whose dietary habits are suspected of causing high blood pressure are: 115 134 131 143 130 154 119 137 155 130 110 138. Do the data justify the suspicions regarding the blood pressure of this community? Use significance level 1%.

Solution

Mean mu = 129

n=12

Sample Data = {115 ,134, 131, 143, 130, 154, 119, 137, 155, 130, 110, 138}

alpha =0.01

Sample Mean = 133

Standard Deviation = 13.94

t = (133 - 129)/(13.94/sqrt(12))
= 0.994

dF = 12-1 =11

This ia a two tailed test

Therefore, P-value = 0.3415

Since,
P-value>0.01,
Insufficient evidence to come to any conclusion.