A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 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. 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. P-value=enter your response here (Round to four decimal places as needed.) Part 4 d. State the conclusion. ▼ Do not reject 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 12.8 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.
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.
P-value=enter your response here
(Round to four decimal places as needed.)
Part 4
d. State the conclusion.
▼
Do not reject
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.