Question
A simple random sample of 39 men from a normally distributed population results in a standard deviation of 9.8 beats per minute. The normal range
A simple random sample of
39
men from a normally distributed population results in a standard deviation of
9.8
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
0.05
significance level to test the claim that pulse rates of men have a standard deviation equal to
10
beats per minute. Complete parts (a) through (d) below.
Identify the null and alternative hypotheses. Choose the correct answer below.
A.
H0:=10
beats per minute
H1:10
beats per minute
B.
H0:10
beats per minute
H1:<10
beats per minute
C.
H0:10
beats per minute
H1:=10
beats per minute
D.
H0:=10
beats per minute
H1:<10
beats per minute
Part 2
b. Compute the test statistic.
2=
(Round to three decimal places as needed.)
Part 3c. Find the P-value.
P-value=
(Round to four decimal places as needed.)
Part 4d. State the conclusion.
Reject? or not reject? H0, because the P-value is
less than or equal to? less than, or greater than? the level of significance. There is
sufficient? or not sufficient? evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
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