A simple random sample of pulse rates of 30 women from a normally distributed population results in a standard deviation of 11.9 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 0.05 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= c. Find the P-value of the test statistic. The P-value of the test statistic is d. State the conclusion. Reject Fail to 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.
A simple random sample of pulse rates of 30 women from a normally distributed population results in a standard deviation of 11.9 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 0.05 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= c. Find the P-value of the test statistic. The P-value of the test statistic is d. State the conclusion. Reject Fail to 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
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A simple random sample of pulse rates of 30 women from a normally distributed population results in a standard deviation of 11.9 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 0.05 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 minuteH1: σ<10
beats per minuteH0: σ≥10
beats per minuteH1: σ<10
beats per minuteH0: σ=10
beats per minuteH1: σ≠10
beats per minuteH0: σ≠10
beats per minuteH1: σ=10
beats per minuteb. Compute the test statistic.
χ2=
c. Find the P-value of the test statistic.
The P-value of the test statistic is
d. State the conclusion.
Reject
Fail to reject
H0.
There
is not
is
10
beats per minute.Expert Solution
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