A data set includes 110110 body temperatures of healthy adult humans having a mean of 98.098.0degrees°f and a standard deviation
of 0.740.74degrees°f. construct a 9999% confidence interval estimate of the mean body temperature of all healthy humans. what does the sample suggest about the use of 98.6degrees°f as the mean body temperature?
It doesn't really tell us if this is the standard deviation of the individual samples or of the sample average. Since they're related by a factor of , around ten, some common sense tells us this is the standard deviation of the individual samples.
So we can conclude our sample mean has a standard deviation
and that is
That's a huge z score, 8.5 standard deviations away. 110 is big enough we can just use the normal distribution and not worry about t distributions.
We can conclude the 98.6 is very unlikely to be the true mean or close to the true mean of human temperatures.