Question
Asked Dec 5, 2019
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Construct an 86% confidence interval around the sample mean of the decrease in the diastolic pressure reading of those who took the placebo. Show your n, PE, t, SE, ME and interval. Discuss the interpretation of the Confidence Interval.

 
8.09 sample mean  
26.82
sample standard deviation
 
1000 n, sample size  
0.86 level of confidence  
 
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Expert Answer

Step 1

The degrees of freedom is obtained as follows:

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df = n-1 = 1, 000 – 1 = 999

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Step 2

The value of  is obtained by using Excel.

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fx =T.INV.2T(0.14,999) A1 1 1.476966|

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Step 3

From the output, the value of  is 1.478 for 86% confidence.

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Sample statistic ± ME = x ±t*. 26.82 = 8.09 ±1.478× V1,000 = 8.09 ±1.478×0.8481 = 8.09 ±1.2535 =(6.8385,9.3435)

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Hypothesis Testing

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