A simple random sample of 42 men from a normally distributed population results in a standard deviation of 8.6 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. Question content area bottom Part 1 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 Part 2 b. Compute the test statistic. χ2=30.32430.324 (Round to three decimal places as needed.) Part 3 c. Find the P-value. P-value=enter your response here (Round to four decimal places as needed.) Part 4 d. State the conclusion. ▼ Reject Do not reject H0, because the P-value is ▼ greater than less than or equal to the level of significance. There is ▼ sufficient insufficient evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A simple random sample of 42 men from a normally distributed population results in a standard deviation of 8.6 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.
Question content area bottom
Part 1
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
Part 2
b. Compute the test statistic.
χ2=30.32430.324
(Round to three decimal places as needed.)
Part 3
c. Find the P-value.
P-value=enter your response here
(Round to four decimal places as needed.)
Part 4
d. State the conclusion.
▼
Reject
Do not reject
H0, because the P-value is
▼
greater than
less than or equal to
the level of significance. There is
▼
sufficient
insufficient
evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.