when making a statistical inference about the mean of a normally distributed population based on a sample…

when making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal? the 68% confidence interval is wider than the 90% confidence interval. the 90% confidence interval is narrower than the 95% confidence interval. the 90% confidence interval is wider than the 99% confidence interval. the 99% confidence interval is narrower than the 68% confidence interval.

when making a statistical inference about the mean of a normally distributed population based on a sample drawn from that population, which of the following statements is correct, all else being equal? the 68% confidence interval is wider than the 90% confidence interval. the 90% confidence interval is narrower than the 95% confidence interval. the 90% confidence interval is wider than the 99% confidence interval. the 99% confidence interval is narrower than the 68% confidence interval.

Answer

Brief Explanations:

The higher the confidence level, the wider the confidence interval. This is because a higher - confidence level requires capturing a larger range of possible values for the population parameter. So, a 90% confidence interval is narrower than a 95% confidence interval as 95% confidence requires a wider range to be more certain of containing the population mean.

Answer:

The 90% confidence interval is narrower than the 95% confidence interval.