Question-62

A \(99\%\) confidence interval for the mean of a population is calculated from a sample as \((45.2, 54.8)\). What will happen to the interval if the confidence level is decreased to \(95\%,\) assuming the same sample statistics\(?\)

• The interval will become wider.

• The interval will remain the same.

• The interval will become narrower.

• There is not enough information to determine the change.

Hint

Answer

• The interval will become wider.

• The interval will remain the same.

• The interval will become narrower.

• There is not enough information to determine the change.

Solution

When the confidence level decreases, the critical value also decreases, which reduces the margin of error and results in a narrower confidence interval.

Hence, option (C) is correct.