Chapter 10, Problem AP3.8CPT

To determine

The interval would have been.

1. Wider with less precision than the original estimate.
2. Wider with more precision than the original estimate
3. Wider with the same precision as the original estimate
4. Narrower with less precision than the original estimate
5. Narrower with more precision than the original estimate

Answer to Problem AP3.8CPT

The correct option is (a)Wider with less precision than the original estimate.

Explanation of Solution

As the using a $98\%$ confidence interval instead of the $95\%$ confidence interval thus the confidence level increases.

As the confidence level is increased then it’s surer that the confidence interval contains the true mean and with the help of this the confidence interval needs to contain the possible values for the mean, that help implies that the confidence interval is wider.

So as the based on confidence interval is wider the estimations such as confidence interval is led precise as there are more possible values for the population mean.

Conclusion:

Hence, the correct option is (a)Wider with less precision than the original estimate