A 95% confidence interval estimate for a population mean u is determined to be 75.38 to 86.52. If the confidence level is reduced to 90%, the confidence interval for u A. becomes wider B. remains the same C. becomes narrower D ... none of the above answers is correct

Question

Mathematics

Sheldon Barker

21 June, 14:49

A 95% confidence interval estimate for a population mean u is determined to be 75.38 to 86.52. If the confidence level is reduced to 90%, the confidence interval for u A. becomes wider B. remains the same C. becomes narrower D ... none of the above answers is correct

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Answers (2)

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Cannon Keller · Answer 1

C. becomes narrower

Step-by-step explanation:

If the confidence level is reduced from 95% to 90%, then, the confidence interval for u becomes narrower, i. e., we are less sure that the true value of u is contained inside the new interval. With a 95% confidence interval there is a probability of 0.95 that the parameter u is inside the interval and with a 90% confidence interval there is a probability of 0.90 that the parameter u is inside the interval.

Zackery Pruitt · Answer 2

Answer: the correct option is C

Step-by-step explanation:

The 95% confidence interval for the population mean is determined to be 75.38 to 86.52. If the confidence interval is reduced to 90%, the the confidence interval for u will become narrower. This is because there is a reduction in the margin of error. It would result to lesser possible values for the mean.