Produce a 99.9 % confidence interval for the population mean body temperature of a healthy male. Then do the same for the population of healthy females.
Round your answers to three decimal places.
To calculate a confidence interval for the population mean body temperature, we need some statistical information. Specifically, we need the sample mean, sample standard deviation, sample size, and the desired confidence level.
For a 99.9% confidence interval, the critical value (Z-score) would be obtained from the standard normal distribution. The critical value represents the number of standard deviations from the mean that corresponds to the desired confidence level.
However, since we don't have the required information like the sample mean, standard deviation, and sample size for healthy males and healthy females, it is not possible to compute the confidence intervals at this moment.
To calculate the confidence interval correctly, you would need to collect a sample of body temperatures from a sufficient number of healthy males and healthy females, calculate the sample mean and sample standard deviation for each group, and then use these values to find the confidence intervals separately for males and females.
Once you have the sample mean, sample standard deviation, and sample size, you can apply the following formula to calculate the confidence interval:
Confidence Interval = Sample Mean ± (Critical Value * (Sample Standard Deviation / √(Sample Size)))
Remember to round the confidence interval to three decimal places as required.