In: Statistics and Probability
A simple random sample of 35 men from a normally distributed population results in a standard deviation of 11.4 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 the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Complete
parts (a) through (d) below.
a. Identify the null and alternative hypotheses. Choose the
correct answer below.
A. H0: σ ≥ 10 beats per minute
H1: σ < 10 beats per minute
B. H0: σ ≠ 10 beats per minute
H1: σ = 10 beats per minute
C. H0: σ = 10 beats per minute
H1: σ < 10 beats per minute
D. H0: σ = 10 beats per minute
H1: σ ≠ 10 beats per minute
b. Compute the test statistic.
χ2 = (Round to three decimal places as
needed.)
c. Find the P-value.
P-value = (Round to four decimal places as
needed.)
d. State the conclusion.
(1)----------Ho, because the P-value is (2)------------ the level
of significance. There is (3)--------evidence to warrant rejection
of the claim that the standard deviation of men's pulse rates is
equal to 10 beats per minute.
1) Do not reject
Reject
(2) greater than
less than or equal to
(3) insufficient
sufficient