Salt-free diets are often prescribed to people with high blood pressure. The fol

Question

Salt-free diets are often prescribed to people with high blood pressure. The following data values were obtained from an experiment designed to estimate the reduction in diastolic blood pressure as a result of consuming a salt-free diet for weeks. Assume diastolic readings to be normally distributed.
Before 93 106 87 92 102 95 88 110
After 92 102 89 92 101 96 88 105
a. What is the point estimate for the mean reduction in the diastolic reading after 2 week on the diet?
b. Find the 98% confidence interval for the mean reduction

Explanation / Answer

Group Before After Mean 96.63 95.63 SD 8.45 6.39 SEM 2.99 2.26 N 8 8 ------------------------------------------------------------------------------ (a) mean = 96.63 - 95.63 = 1 ---------------------------------------------------------------------------- (b) Given a=0.02, the critical value is |t(0.01, df=7|=2.997 (check student t table) standard error of difference = 0.845 So 98% CI is 1 ± t*s --> 1 ± 2.997*0.845 --> ( -1.532, 3.532)

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