A study examined the effects of a stay in the Arctic on a person's tolerance for cold. After a stay in the Arctic, three subjects were exposed to cold in experimental conditions and the effects noted. The subjects' mean skin temperatures had a standard deviation of 2.11°C after their exposure to cold (based on data in International Journal of Biometeorology, 1996). Supposing the expected standard deviation for mean skin temperature is 1.06°C, test whether the stay in the Arctic has had an effect on the variance of the subjects' mean skin temperature. Test the claim at the 0.05 level of significance.
Use the traditional method to test the given hypotheses. Follow the steps outlined and draw the appropriate graph. In all cases, assume that the population is normally distributed and that the sample has been randomly selected.