Facts About the F Distribution · Exercise 30

The data shown is the recorded body temperatures of 130 subjects as estimated from available histograms.
Traditionally we are taught that the normal human body temperature is 98.6 F. This is not quite correct for everyone. Are the mean temperatures among the four groups different?
Calculate 95% confidence intervals for the mean body temperature in each group and comment about the confidence intervals.

$$\begin{array}{cccccccc}\text{FL}& \text{FH}& \text{ML}& \text{MH}& \text{FL}& \text{FH}& \text{ML}& \text{MH}\\ \text{96.4}& \text{96.8}& \text{96.3}& \text{96.9}& \text{98.4}& \text{98.6}& \text{98.1}& \text{98.6}\\ \text{96.7}& \text{97.7}& \text{96.7}& \text{97}& \text{98.7}& \text{98.6}& \text{98.1}& \text{98.6}\\ \text{97.2}& \text{97.8}& \text{97.1}& \text{97.1}& \text{98.7}& \text{98.6}& \text{98.2}& \text{98.7}\\ \text{97.2}& \text{97.9}& \text{97.2}& \text{97.1}& \text{98.7}& \text{98.7}& \text{98.2}& \text{98.8}\\ \text{97.4}& \text{98}& \text{97.3}& \text{97.4}& \text{98.7}& \text{98.7}& \text{98.2}& \text{98.8}\\ \text{97.6}& \text{98}& \text{97.4}& \text{97.5}& \text{98.8}& \text{98.8}& \text{98.2}& \text{98.8}\\ \text{97.7}& \text{98}& \text{97.4}& \text{97.6}& \text{98.8}& \text{98.8}& \text{98.3}& \text{98.9}\\ \text{97.8}& \text{98}& \text{97.4}& \text{97.7}& \text{98.8}& \text{98.8}& \text{98.4}& \text{99}\\ \text{97.8}& \text{98.1}& \text{97.5}& \text{97.8}& \text{98.8}& \text{98.9}& \text{98.4}& \text{99}\\ \text{97.9}& \text{98.3}& \text{97.6}& \text{97.9}& \text{99.2}& \text{99}& \text{98.5}& \text{99}\\ \text{97.9}& \text{98.3}& \text{97.6}& \text{98}& \text{99.3}& \text{99}& \text{98.5}& \text{99.2}\\ \text{98}& \text{98.3}& \text{97.8}& \text{98}& & \text{99.1}& \text{98.6}& \text{99.5}\\ \text{98.2}& \text{98.4}& \text{97.8}& \text{98}& & \text{99.1}& \text{98.6}& \\ \text{98.2}& \text{98.4}& \text{97.8}& \text{98.3}& & \text{99.2}& \text{98.7}& \\ \text{98.2}& \text{98.4}& \text{97.9}& \text{98.4}& & \text{99.4}& \text{99.1}& \\ \text{98.2}& \text{98.4}& \text{98}& \text{98.4}& & \text{99.9}& \text{99.3}& \\ \text{98.2}& \text{98.5}& \text{98}& \text{98.6}& & \text{100}& \text{99.4}& \\ \text{98.2}& \text{98.6}& \text{98}& \text{98.6}& & \text{100.8}& & \end{array}$$

This problem repeats another one in the library (at most with different numbers), so it's left out of browsing.

OpenStax, Introductory Business Statistics 2e · §12.4 Facts About the F Distribution · Exercise 30