What happens to the width of a confidence interval for a population mean if the

Question

What happens to the width of a confidence interval for a population mean if the level of confidence is increased without changing the sample size? Assume that the population standard deviation is unknown and the population distribution is approximately normal. Select your answer from the choices below:

a)The margin of error will increase because the critical value will decrease. The increased margin of error will cause the confidence interval to be wider.

b)The margin of error will decrease because the critical value will decrease. The decreased margin of error will cause the confidence interval to be narrower.

c)The margin of error will decrease because the critical value will increase. The decreased margin of error will cause the confidence interval to be narrower.

d)The margin of error will increase because the critical value will increase. The increased margin of error will cause the confidence interval to be wider.

a)The margin of error will increase because the critical value will decrease. The increased margin of error will cause the confidence interval to be wider.

b)The margin of error will decrease because the critical value will decrease. The decreased margin of error will cause the confidence interval to be narrower.

c)The margin of error will decrease because the critical value will increase. The decreased margin of error will cause the confidence interval to be narrower.

d)The margin of error will increase because the critical value will increase. The increased margin of error will cause the confidence interval to be wider.

Explanation / Answer

C.) The margin or error will decrease because the critical value will decrease. The decreased margin or error will cause the confidence interval to be narrower.

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