Final answer:
To construct a confidence interval estimate of the mean, use the formula: Confidence Interval = x-bar ± (z * (s / sqrt(n))). Determine if the results are very different from a given confidence interval. The confidence interval for the population mean is the same as the confidence interval estimate of the mean.
Step-by-step explanation:
To construct a confidence interval estimate of the mean, we can use the formula:
Confidence Interval = x-bar ± (z * (s / √(n)))
where x-bar is the sample mean, z is the z-score corresponding to the desired confidence level (98% in this case), s is the sample standard deviation, and n is the sample size.
Plugging in the values, we have:
Confidence Interval = 27.5 ± (z * (6.6 / √(206)))
To determine if these results are very different from the confidence interval 26.2 hg, we need to check if 26.2 falls within the confidence interval. If it does, then these results are not very different. If it doesn't, then these results are considered to be very different.
The confidence interval for the population mean is the same as the confidence interval estimate of the mean calculated above.