# Is the Mean Body Temperature Really by GY53Q45

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```									                      Is the Mean Body Temperature Really 98.60 ?
Chapter 9 Project

Currently, it is commonly believed that the mean body temperature is 98.60 . The
following table lists a sample of body temperatures of 106 healthy adults.

Body Temperatures of 106 Healthy Adults
98.6      98.6       98.0    98.0      99.0       98.4      98.4     97.7     99.5
98.6      98.8       98.6    97.0      97.0       98.8      97.6     98.6     98.6
98.0      98.3       98.5    97.3      98.7       97.4      98.9     98.0     98.6
97.3      97.6       98.2    99.6      98.7       99.4      98.2     98.4     97.9
97.2      98.4       98.6    98.2      98.0       97.8      98.0     97.1     97.8
97.8      99.0       96.5    97.6      98.0       96.9      97.6     98.7     98.3
97.3      98.0       97.5    97.6      98.2       98.5      98.8     98.6     98.9
97.1      97.4       99.4    98.4      98.6       98.4      98.5     98.5     97.8
98.8      99.1       98.6    97.9      98.8       98.0      98.7     99.2     98.6
98.6      97.1       97.9    98.8      98.7       97.6      98.2     98.4     98.0
98.4      97.8       98.4    97.4      98.0       97.0      98.4     98.8     97.5
98.6      98.6       98.4    98.0      98.7       98.4      98.0

(a) What is the mean body temperature of the sample data?
(b) What is the standard deviation of the body temperatures of the sample data?
(c) Compare the mean body temperature of the sample to the commonly believed
body temperature of 98.60 .
(d) Find a 95% confidence interval for the mean body temperature of the 106 healthy
adults.
(e) Find a 95% confidence interval for the population standard deviation of the body
temperatures.
(f) Find the margin of error of this sample.
(g) Suppose that we have only the following 10 randomly selected body
temperatures:
98.6 98.6 98.0 98.0 99.0 98.4 98.4 98.4 98.4 98.6
Find the mean, sample standard deviation, and construct a 95% confidence
interval for the mean.
(h) Discuss the results of the confidence intervals obtained in parts (d) and (g).
(i) How large a sample should be taken in order to be 95% confident that the sample
mean does not differ from the population mean by more than 0.30 F?
(j) Do you feel that the sample data gave a good indication of the actual mean body
temperature of 98.60 ?
(k) What could we do to get a better estimate of the mean body temperature?

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