A simple random sample of41 men from a normally distributed population results in a standard deviation of 10.2 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=nothing c. Find the P-value. P-value= d. State the conclusion. Reject Do not reject H0, because the P-value is less than or equal to greater than 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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A simple random sample of41
men from a normally distributed population results in a standard deviation of 10.2 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.

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

c. Find the P-value.

P-value=

d. State the conclusion.

Reject

Do not reject

H0,

because the P-value is

less than or equal to

greater than

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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