Need help solving 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 patientswho 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.Owns DogDoes Not Own DogMeasure of HRV(Average Normal-to-Normal Beat Interval)Mean877800StandardDeviation137132The authors of this paper used a two-sample t test to test Ho: H₁-H₂=0 versus H: ₁-₂0 assuming equal population variances. The paper indicates that the null hypothesis was rejected and reported that the P-value wasless than 0.05. Carry out the two-sample t test from this paper. (Use α = 0.05. Use u, for heart attack patients who are dog owners and μ, for heart attack patients who do not own a dog.)Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)t =P-value=State the conclusion in the problem context. Is your conclusion consistent with the one given in the paper?O 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 consistentwith the one given in the paper.O 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 theone given in the paper.O 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 givenin the paper.Owe 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 theone given in the paper.

From the information, given that Let µ1 denotes the mean for heart attack patients who are dog ownersLet µ2 denotes the mean for heart attack patients who do not own dog. The claim is to test whether the there is evidence to conclude that the heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog or not. That is, there is no evidence to conclude that the heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog.That is, there is evidence to conclude that the 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 value of the test statistic is obtained as follows: The value of the pooled variance is,The required value of SEThe required value is,The value of the test statistic is 2.4.The df is,Use Excel to obtain the probability value.Follow the instructions to obtain the P-value: 1. Open Excel2. Go to Formula bar.3. In formula bar enter the function as“=TDIST”4. Enter the test statistic as 2.45. Enter the degrees of freedom as 100.6. Enter the tails as 2.7. Click enterFrom the Excel sheet, the P-value is 0.018 Thus, the P-value is 0.018The conclusion is obtained as follows:Use the level of significance as 0.05The P-value is less than the level of significance.By, the rejection rule, reject the null hypothesis. That is, there is evidence to conclude that the heart attack patients who are dog owners have a different average measure of HRV than heart attack patients who do not own a dog. Correct option: Option 3The value of the test statistic is 2.4.Thus, the P-value is 0.018Correct option: Option 3

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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. Owns Dog Does Not Own Dog Measure of HRV (Average Normal-to-Normal Beat Interval) Mean P-value= 877 800 Standard Deviation 137 132 The authors of this paper used a two-sample t test to test H, H₂H₂0 versus H: ₁-₂0 assuming equal population variances. The paper indicates that the null hypothesis was rejected and reported that the P-value was less than 0.05. Carry out the two-sample t test from this paper. (Use a 0.05. Use u, for heart attack patients who are dog owners and for heart attack patients who do not own a dog.) Find the test statistic and P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) t= State the conclusion in the problem context. Is your conclusion consistent with the one given in the paper? O We fail to reject H. 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. O We reject H. 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. O We reject H. 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. O 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.