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A Random Sample of 53 Observations Was Taken

Question 120

Essay

A random sample of 53 observations was taken.The average in the sample was 90 with a variance of 400.
a.
Construct a 98% confidence interval for μ.
b.
Construct a 99% confidence interval for μ.
c.
Discuss why the 98% and 99% confidence intervals are different.
d.
What would you expect to happen to the confidence interval in Part a if the sample size was increased? Be sure to explain your answer.

Correct Answer:

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a.
83.41 to 96.59 (rounded)
...

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