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The standard deviation of the pulse rates for a sample of 153 men is 11.3 beats per minute. The range rule of thumb estimate of the standard deviation of the population of the mean is 10 beats per minute.

To test the significance of theclaim that pulse rates of men have a standard deviation equal to 10 beats per minute, the null and alternative hypotheses are formulated as follows.

\(\begin{array}{l}{H_0}:\sigma = 10\\{H_1}:\sigma \ne 10\end{array}\)

Here, \(\sigma \) is the actual standard deviation of the pulse rates for the population of men.

From the table, the test statistic is 195.1723, and the degree of freedom is 152, obtained from the third and fourth columns, respectively.

The P-value for the test is obtained from the fifth column as 0.0208.

The decision rule states the following:

If the P-value is greater than 0.05, the null hypothesis is failed to be rejected; otherwise, it is rejected.

In this case, the P-value is lesser than 0.05.Therefore, reject \({H_0}\).

As the null hypothesis is rejected, it can be concluded that there is insufficient evidence to support the claim that the pulse rates of adults have a standard deviation equal to 10.

The hypothesized value of 10 beats per minute is estimated using the range rule of thumb with the normal range of 60 to 100 beats per minute. As the true value of the population standard deviation is not equal to 10 bpm, it can be said that the estimate is not a very good estimate for \(\sigma \) in this case.