A simple random sample of pulse rates of 60 women from a normally distributed population results in a standard deviation of 13.1 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 0.01 significance level to test the claim that pulse rates of women 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=enter your response here (Round to three decimal places as needed.) Part 3 c. Find the P-value of the test statistic. The P-value of the test statistic is enter your response here. (Round to three decimal places as needed.) Part 4 d. State the conclusion. ▼ Fail to reject Reject H0. There ▼ is is not sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation 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 pulse rates of 60 women from a normally distributed population results in a standard deviation of 13.1 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 0.01 significance level to test the claim that pulse rates of women 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=enter your response here
(Round to three decimal places as needed.)
Part 3
c. Find the P-value of the test statistic.
The P-value of the test statistic is enter your response here.
(Round to three decimal places as needed.)
Part 4
d. State the conclusion.
▼
Fail to reject
Reject
H0. There
▼
is
is not
sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute.