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 27.8 for a sample of size 26 and standard deviation 7.3. 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.
Solutions
Expert Solution
Solution :
Degrees of freedom = df = n - 1 = 25
At 80% confidence level the t is ,
= 1 - 80% = 1 - 0.80 = 0.20
/ 2 = 0.20 / 2 = 0.10
t
/2,df = t0.10,25 = 1.316
Margin of error = E = t/2,df
* (s /
= 1.316 * ( 7.3/
= 1.884
The 80% confidence interval estimate of the population mean is,
- E < 
<
+ E
27.8 - 1.884 <
< 27.8 + 1.884
25.916 <
< 29.684
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