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) Mean Standard Deviation Owns Dog 875 134 Does Not Own Dog 800 137 (a) The authors of this paper used a two-sample t test to test Ho : M1 - /2 = 0 versus Ha : /] - #2 0 . What conditions must be met in order for this to be an appropriate method of analysis? (Select all that apply.) The population distributions must be approximately normal. The samples must be independently selected. Both sample sizes must be at least 30 or the population distributions must be approximately normal. The samples must be paired. Both sample sizes must be at least 30. The samples must be randomly selected from or representative of their populations of interest. 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 #2 for heart attack patients who do not own a dog.) (1) Find the test statistic. (Round your answer to one decimal place.) 1 = (il) Find the P-value. (Use technology. Round your answer to three decimal places.) P-value = (ili) State the conclusion in the problem context. Is your conclusion consistent with the one given in the paper? Owe 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. Owe 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