Final answer:
To construct a 99% confidence interval estimate of the mean body temperature of all healthy humans, you need to calculate the t-score and use the formula for a confidence interval.
Step-by-step explanation:
To construct a 99% confidence interval estimate of the mean body temperature of all healthy humans, we can use the formula:
Confidence interval = sample mean ± (t-score) * (standard deviation / √n)
Given that the sample mean is 98.3°F, the standard deviation is 0.54°F, and the number of observations (n) is 109, we need to calculate the t-score for a 99% confidence level.
The t-score can be found using a t-table or a t-distribution calculator. Once we have the t-score, we can calculate the confidence interval using the formula mentioned above.
The sample suggests that the use of 98.6°F as the mean body temperature may not be accurate for all healthy humans, as the mean of the sample is below 98.6°F. However, the exact implications would require further analysis.
The confidence interval estimate of the population mean (µ) can be calculated once we have the t-score and the sample mean and standard deviation. It provides us with a range within which we can be 99% confident that the population mean lies.