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.

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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.
Measure of HRV
(Average Normal-to-Normal Beat Interval)
Standard
Mean
Deviation
Owns Dog
875
134
Does Not Own Dog
800
133
A USE SALT
(a) The authors of this paper used a two-sample t test to test Ho: u, - u, = 0 versus H,: H, - µ, # 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
H1
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 =
P-value =
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 A USE SALT (a) The authors of this paper used a two-sample t test to test Ho: u, - u, = 0 versus H,: H, - µ, # 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 H1 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 = P-value =
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