Question

In: Statistics and Probability

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the...

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.

Solutions

Expert Solution

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)


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