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The following exercises are "what-if" analyses designed to determine what happens to the test statistic and...

The following exercises are "what-if" analyses designed to determine what happens to the test statistic and interval estimates when elements of this statistical inference is changed:

a. A statistics practitioner took a random sample of size 56. The sample mean and standard deviation are 70 and 12, respectively

B. Determine the 95% confidence interval estimate of the population mean.

C. Repeat part (a) changing the sample mean to 30.

D. Describe what happens to the width of the interval when the sample mean decreases.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given:

Sample size, n = 56

Sample mean, = 70

Standard deviation, s = 12

Significance level, =1-0.95 = 0.05

Degree of freedom, df = n-1 = 56-1 = 55

At 95% confidence level, the critical value of t is

d) When the sample mean decreases, the width of confidence interval also decreases.

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