In a study of pulse rates of​ men, a simple random sample of 142 men results in a standard deviation of 11.2 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 0.01 significance level to test the claim that pulse rates

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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8.19 In a study of pulse rates of​ men, a simple random sample of 142 men results in a standard deviation of 11.2 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 0.01 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per​ minute; see the accompanying StatCrunch display for this test. What do the results indicate about the effectiveness  of using the range rule of thumb with the​ "normal range" from 60 to 100 beats per minute for estimating σ in this​ case? Assume that the simple random sample is selected from a normally distributed population.

One sample variance hypothesis test:
o²: Variance of variable
Ho : 0² = 100
HA: 0² # 100
Hypothesis test results:
Variable Sample Var. DF Chi-Square Stat P-value
PULSE
125.70544 141
177.24468
0.0418
Transcribed Image Text:One sample variance hypothesis test: o²: Variance of variable Ho : 0² = 100 HA: 0² # 100 Hypothesis test results: Variable Sample Var. DF Chi-Square Stat P-value PULSE 125.70544 141 177.24468 0.0418
LA
Hola
H₁:0 Y
(Type integers or decimals. Do not round.)
Identify the test statistic
(Round to two decimal places as needed.)
Identify the P-value.
(Round to three decimal places as needed.)
State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original
claim.
the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. The
effective in this case
sufficient evidence to
the null hypothesis. There
significant evidence that using the range rule of thumb with the "normal range from 60 to 100 beats per minute for estimating a
results indicate that there
Transcribed Image Text:LA Hola H₁:0 Y (Type integers or decimals. Do not round.) Identify the test statistic (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. The effective in this case sufficient evidence to the null hypothesis. There significant evidence that using the range rule of thumb with the "normal range from 60 to 100 beats per minute for estimating a results indicate that there
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