In a study of pulse rates of men, a simple random sample of 143 men results in a standard deviation of 11.4 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 a in this case? Assume that the simple random sample is selected from a normally distributed population. Click the icon to view the StatCrunch display. *** Let a denote population standard deviation of the pulse rates of men (in beats per minute). Identify the null and alternative hypotheses. Ho: a # H₁: > (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. 7 (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. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. The results indicate that there is not significant evidence that using the range rule of thumb with the "normal range from 60 to 100 beats per minute for estimating a is not effective in this case.
In a study of pulse rates of men, a simple random sample of 143 men results in a standard deviation of 11.4 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 a in this case? Assume that the simple random sample is selected from a normally distributed population. Click the icon to view the StatCrunch display. *** Let a denote population standard deviation of the pulse rates of men (in beats per minute). Identify the null and alternative hypotheses. Ho: a # H₁: > (Type integers or decimals. Do not round.) Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. 7 (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. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. The results indicate that there is not significant evidence that using the range rule of thumb with the "normal range from 60 to 100 beats per minute for estimating a is not effective in this case.
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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