Answer :
A sample of 20 body temperatures has a mean of 98.3 °F and a standard deviation of 24 °F. We need to construct a 98% confidence interval estimate for the standard deviation of body temperature for all healthy humans.
To construct the confidence interval estimate, we will use the chi-square distribution. The formula for the confidence interval is:
CI = [(n-1)*s^2 / chi-square upper , (n-1)*s^2 / chi-square lower]
Here, n represents the sample size (20), s represents the sample standard deviation (24 °F), and chi-square upper and chi-square lower are the critical values from the chi-square distribution corresponding to a 98% confidence level and degrees of freedom (n-1). By looking up the critical values, we can calculate the confidence interval estimate for the standard deviation.
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