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Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table.

Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table.

MATLAB: An Introduction with Applications
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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Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table.

The authors of this paper used a two-sample t test to test H0: ?1 − ?2 = 0 versus Ha: ?1 − ?2 ≠ 0.

What conditions must be met in order for this to be an appropriate method of analysis? (Select all that apply.)

Find the test statistic and P-value. 

Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table. Measure of HRV (Average Normal-to-Normal Beat Interval) Standard Mean Deviation Owns Dog 875 134 Does Not Own Dog 800 133 In USE SALT (a) The authors of this paper used a two-sample t test to test Ho: µ, - H2 = 0 versus H,: H, - H, + 0. What conditions must be met in order for this to be an appropriate method of analysis? (Select all that apply.) The samples must be randomly selected from or representative of their populations of interest. The samples must be paired. The population distributions must be approximately normal. The samples must be independently selected. Both sample sizes must be at least 30. Both sample sizes must be at least 30 or the population distributions must be approximately normal. None of the above
Transcribed Image Text:Reduced heart rate variability (HRV) is known to be a predictor of mortality after a heart attack. One measure of HRV is the average normal-to-normal beat interval (in milliseconds) for a 24-hr time period. Twenty-two heart attack patients who were dog owners and 80 heart attack patients who did not own a dog participated in a study of the effect of pet ownership on HRV, resulting in the summary statistics shown in the accompanying table. Measure of HRV (Average Normal-to-Normal Beat Interval) Standard Mean Deviation Owns Dog 875 134 Does Not Own Dog 800 133 In USE SALT (a) The authors of this paper used a two-sample t test to test Ho: µ, - H2 = 0 versus H,: H, - H, + 0. What conditions must be met in order for this to be an appropriate method of analysis? (Select all that apply.) The samples must be randomly selected from or representative of their populations of interest. The samples must be paired. The population distributions must be approximately normal. The samples must be independently selected. Both sample sizes must be at least 30. Both sample sizes must be at least 30 or the population distributions must be approximately normal. None of the above
(b) The paper indicates that the null hypothesis in part (a) was rejected and reported that the P-value was less than 0.05. Carry out a two-sample t test. (Use a = 0.05. Use for heart attack patients who are dog owners and u, for heart attack patients who do not own a dog.) Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = 2.417 P-value = 0.000 State the conclusion in the problem context. Is your conclusion consistent with the one given in the paper? We reject Ho: We do not have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is consistent with the one given in the paper. We reject Ho. We have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is consistent with the one given in the paper. We fail to reject Ho. We do not have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is not consistent with the one given in the paper. We fail to reject Ho. We have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is not consistent with the one given in the paper.
Transcribed Image Text:(b) The paper indicates that the null hypothesis in part (a) was rejected and reported that the P-value was less than 0.05. Carry out a two-sample t test. (Use a = 0.05. Use for heart attack patients who are dog owners and u, for heart attack patients who do not own a dog.) Find the test statistic and P-value. (Use SALT. Round your test statistic to one decimal place and your P-value to three decimal places.) t = 2.417 P-value = 0.000 State the conclusion in the problem context. Is your conclusion consistent with the one given in the paper? We reject Ho: We do not have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is consistent with the one given in the paper. We reject Ho. We have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is consistent with the one given in the paper. We fail to reject Ho. We do not have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is not consistent with the one given in the paper. We fail to reject Ho. We have convincing evidence that heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. The conclusion is not consistent with the one given in the paper.
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