A simple random sample of pulse rates of 25 women from a normally distributed population results in a standard deviation of 12.3 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 women 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=nothing (Round to three decimal places as needed.) c. Find the P-value of the test statistic. The P-value of the test statistic is nothing. (Round to three decimal places as needed.) d. State the conclusion. ▼ Fail to reject Reject H0. There ▼ is not is 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

women from a normally distributed population results in a standard deviation of

12.3

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 women 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.

H0: σ=10

beats per minute

H1: σ≠10

beats per minute

H0: σ=10

beats per minute

H1: σ<10

beats per minute

H0: σ≥10

beats per minute

H1: σ<10

beats per minute

H0: σ≠10

beats per minute

H1: σ=10

beats per minute

b. Compute the test statistic.

χ2=nothing

(Round to three decimal places as needed.)

c. Find the P-value of the test statistic.

The P-value of the test statistic is

nothing.

(Round to three decimal places as needed.)

d. State the conclusion.

▼

Fail to reject

Reject

H0.

There

▼

is not

sufficient evidence to warrant rejection of the claim that pulse rates of women have a standard deviation equal to

beats per minute.

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