A simple random sample of 36 men from a normally distributed population results in a standard deviation of 11.8 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 0.10 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=48.73448.734 (Round to three decimal places as needed.) c. Find the P-value. P-value=nothing (Round to four decimal places as needed.) d. State the conclusion. ▼ Do not reject 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

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

11.8

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

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

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=48.73448.734

(Round to three decimal places as needed.)

c. Find the P-value.

P-value=nothing

(Round to four decimal places as needed.)

d. State the conclusion.

▼

Do not reject

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

beats per minute.

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