A simple random sample of 50 men from a normally distributed population results

Question

A simple random sample of 50 men from a normally distributed population results in a standard deviation of 7.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test whether the pulse rates of men have a standard deviation that differs from 10 beats per minute. Complete parts (a) through (d) below. a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H_0: sigma = 10 beats per minute H_1: sigma

Explanation / Answer

The statistical software output for this problem is:

One sample variance hypothesis test:
2 : Variance of population
H0 : = 10
HA : 10

Hypothesis test results:

Hence,

a) Option B is correct.

b) X2 = 29.05

c) P - value = 0.021

Variance Sample Var. DF Chi-square Stat P-value 2 59.29 49 29.0521 0.0209

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