In: Statistics and Probability
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 36.8 for a sample of size 29 and standard deviation 14.7. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 98% confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places.
Solution :
Given that,
t /2,df = 2.467
Margin of error = E = t/2,df * (s /n)
= 2.467 * (14.7 / 29)
Margin of error = E = 6.734
The 98% confidence interval estimate of the population mean is,
- E < < + E
36.8 - 6.734 < < 36.8 + 6.734
30.066 < < 43.534
(30.066 , 43.534)