Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known? O There is no change if just the sample size increases. O The interval widens if the sample size stays the same and confidence level decreases. O The interval narrows if the sample size increases and confidence level stays the same. O The interval narrows if the sample size decreases and confidence level stays the same. O The interval widens if the sample size increases and the confidence level stays the same.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
Question
Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known?
O There is no change if just the sample size increases.
O The interval widens if the sample size stays the same and confidence level decreases.
O The interval narrows if the sample size increases and confidence level stays the same.
O The interval narrows if the sample size decreases and confidence level stays the same.
O The interval widens if the sample size increases and the confidence level stays the same.
Transcribed Image Text:Which of the following correctly describes how the width of a confidence interval for a population mean changes when the population standard deviation is known? O There is no change if just the sample size increases. O The interval widens if the sample size stays the same and confidence level decreases. O The interval narrows if the sample size increases and confidence level stays the same. O The interval narrows if the sample size decreases and confidence level stays the same. O The interval widens if the sample size increases and the confidence level stays the same.
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