The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 72.5 for a sample of size 25 and standard deviation 9.3. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). Assume the data is from a normally distributed population.   Enter your answer as a tri-linear inequality accurate to three decimal places. ____ < μ < ____

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The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 72.5 for a sample of size 25 and standard deviation 9.3. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). Assume the data is from a normally distributed population.  

Enter your answer as a tri-linear inequality accurate to three decimal places.

____ < μ < ____

 

Expert Solution
Step 1

From the given information,

Sample size n =25

Sample mean, x̅=72.5

Sample standard deviation, s=9.3

Confidence level = 80%

Degrees of freedom: 24(=25-1).

Using Excel function, “=T.INV.2T(0.20,24)”, the critical value for two-tailed test at 80% confidence level is ±1.3178.

The standard error is:

SE=sn=9.325=1.86

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