SOLUTION: The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 78.5 for a sample of size 26 a

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Question 1197534: The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 78.5 for a sample of size 26 and standard deviation 13.6. 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.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  

'Standard Distribution': µ = 78.5 and σ = 13.6
n = 26
 ME+=+z%2Asigma%2Fsqrt%28n%29
 80% confidence interval:  z = 1.282  |  Invnorm(.80 + .2/2) = Invnorm(.90) 
  ME+=1.282%2A13.6%2Fsqrt%2826%29 = 3.419
78.5 - 3.419 mu < 78.5 + 3.419
75.351< mu < 81.649

90% confident,  interval will contain true population mean

Wish You the Best in your Studies.