# 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? a) There is no change if just the sample size increases. b) The interval widens if the sample size decreases and confidence level stays the same. c)The interval narrows if the sample size decreases and confidence level stays the same. d) The interval widens if the sample size increases and the confidence level stays the same. e) The interval widens if the sample size stays the same and confidence level decreases.

IWV7K6 The Asker · Probability and Statistics

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?

a) There is no change if just the sample size increases.
b) The interval widens if the sample size decreases and confidence level stays the same.
c)The interval narrows if the sample size decreases and confidence level stays the same.
d) The interval widens if the sample size increases and the confidence level stays the same.
e) The interval widens if the sample size stays the same and confidence level decreases.

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? a) There is no change if just the sample size increases. b) The interval widens if the sample size decreases and confidence level stays the same. c)The interval narrows if the sample size decreases and confidence level stays the same. d) The interval widens if the sample size increases and the confidence level stays the same. e) The interval widens if the sample size stays the same and confidence level decreases.
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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? a) There is no change if just the sample size increases. b) The interval widens if the sample size decreases and confidence level stays the same. c)The interval narrows if the sample size decreases and confidence level stays the same. d) The interval widens if the sample size increases and the confidence level stays the same. e) The interval widens if the sample size stays the same and confidence level decreases.