QuestionAnswered step-by-stepThis is about the Health vs. vacation. Excel Data file is in the folderHow important to your health are regular vacations? In astudy,a random sample of men and women were asked how frequently they take vacations. The men and women were divided into two groups each. The members of group 1 had suffered a heart attack; the members of group 2 had not. The number of days of vacation last year was recorded for each person. Can we infer that men and women who suffer heartattackvacation less than those who did not suffer a heart attack?Group 1 Group 2 13 16 Group 1 is those who have a heart condition1 10 9 3 5 9 3 6 3 14 4 12 5 5 7 3 1 9 5 3 7 10 2 4 5 7 4 5 2 3 6 11 2 11 4 5 3 11 5 8 6 8 5 7 5 16 2 7 6 19 7 12 3 14 9 6 4 13 1 12 14 18 5 7 10 17 2 4 3 8 1 8 2 8 7 6 13 3 0 18 3 7 3 11 5 17 3 12 2 6 10 4 5 10 11 10 3 4 8 8 3 7 1 10 3 8 7 9 4 6 2 11 4 10 1 8 5 7 7 4 15 10 8 13 5 9 2 17 6 8 8 4 1 12 14 12 8 7 7 17 7 9 13 6 11 4 21 6 9 5 10 6 9 12 10 9 9 11 8 10 10 6 10 4 6 5 9 11 16 11 4 13 6 4 10 17 13 4 14 5 11 14 10 18 4 6 16 11 4 5 11 14 12 15 9 11 7 11 8 15 3 6 10 5 20 4 12 10 13 12 17 4 7 4 16 12 7 11 7 19 9 4 6 8 3 5 16 28 10 12 12 7 20 9 9 9 7 4 3 5 16 11 12 8 5 16 12 8 7 9 22 9 16 10 5 3 8 6 3 1) This is about two populations comparison. Is this for two population Proportions comparison?If your answer is No, that indicates the problem is for two population means comparison.Tip:Similar to the garlicexample in the video,two nominal variables (one isPlacebo or New Drug the other is whether the person caught a cold or not), that is the comparison of the population proportion. On the other hand, one variable is nominal (Placebo or New Drug) and the other is a ratio variable (number of days to recover). This is the comparison of population means.Yes or no2) Are the two samples independent?(If your answer is NO, you indicate it is dependent).Yes or no3)There are three t-test and one Z-test in excel, which one wecan’tuse? (choose one)a. Z-test: two samples for Meansb. t-test: two samples assuming equal variancesc. t-test: two samples assuming unequal variancesd. t-test: paired two samples for Mean4)Using the t-test with unequal variances from Excel, what is the test statistic (t-stat)? 3 decimals.5)What is the p-value? (one-tail), 4 decimals6)What is your conclusion? Choose one.This is a challenge question that asks you to re-think the problem itself.Not just statistical perspective.a. We have overwhelming statistical evidence to reject the NULL and accept the alternative hypothesis.That means, taking vacation can really reduce your chance to get a heart attack.b. We don’t have enough statistical evidence to reject the NULL hypothesis.c. Not enough information for me to make that a conclusiond. We have overwhelming statistical evidence to reject the NULL and accept the alternative hypothesis. That means, taking vacation may reduce your chance to get a heart attack.7)Write a paragraph to criticize or explain the statistical conclusion.Tip: What the significance means? Does it really mean the vacation can prevent Heart Attack?MathStatistics and ProbabilitySTAT 581Share Question

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