How will increasing the sample size without changing the level of confidence affect the width of a confidence interval for a population mean? Assume the population standard deviation is unknown and the population distribution is normal.

A.) The margin of error will decrease because the sample standard deviation will decrease. The decreased margin of error will cause the confidence interval to be narrower.

B.) The margin of error will increase because the critical value will increase and the sample size, n, is located in the denominator of the formula for margin of error. The increased margin of error will cause the confidence interval to be wider.

C.) The margin of error will increase because the sample standard deviation will increase. The increase margin of error will cause the confidence interval to be wider.

D.) The margin error will decrease because the critcal value will decrease and the sample size, n, is located in the denominator of the formula for margin of error. The decreased margin of error will cause the confidence interval to be narrower.