A special diet is intended to reduce the cholesterol of patients at risk of hear

Question

A special diet is intended to reduce the cholesterol of patients at risk of heart disease.  If the diet is effective, the target is to have the average cholesterol of this group be below 200.  After six months on the diet, an SRS of 50 patients at risk for heart disease had an average cholesterol (of sample)= 192, with standard deviation s=21.  Assume the distribution of the cholesterol for patients in this group is approximately Normal with mean (µ).

Calculate the p-value for the one sample t test.  Make a conclusion based on the p-value given a significance level =0.02.

Explanation / Answer

H0= The true mean cholesterol level after the treatment is not less than 200.

HA=The true mean cholesterol level after the treatment is less than 200.

mean=192; standard deviation=21; n=50

Using t-test on calculator (1-tailed < ) I get the t-value to be -2.69 and the corresponding p-value to be .0048.

At the .02 significance level, we can reject the null hypothesis and conclude that the true mean cholesterol level after the treatment is below 200.

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