Question

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 41 for a sample of size 10 and standard deviation 20.

Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 99% confidence level).

Give your answers to one decimal place and provide the point estimate with its margin of error.

Answer 1

Given data, Sample size n=10 From the sample data, Mean of given sample X =41 Standard deviation s= 20 To find, 99% confidence level t-score at 9 degrees of freedom and at 0.01 level of significance t = 3.250 99% confidence interval for mean is as follows = (x-t* te = (41–3.25* IO, 41+3.25* = (20.4452, 61.5548) Lower limit=20.4452

Point estimate = 41

Margin of error =

t = 325- 205313