Question

(c) find the 99% confidence interval of the mean of these pounds. round intermediate answers decimal places. round your final answers to one decimal place.
30.6 < μ < 33.4
part: 3 / 4
part 4 of 4
(d) which interval is larger? why?
the % confidence interval is larger. an interval with a select range of values
than the % confidence interval will be more likely to contain the true population
mean.

Explanation:

In confidence interval concepts, a higher confidence level (like 99% compared to a lower one like 95%) requires a wider interval. This is because to be more confident that the interval contains the true population mean, we need to include more possible values, so the interval range (width) increases. So the 99% confidence interval is wider (larger) as it has a greater range to have a higher chance of capturing the true mean.

Answer:

The 99% confidence interval is larger. An interval with a wider range of values than the (usually 95%) confidence interval will be more likely to contain the true population mean.