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7- 4 Question 3(4 points): The first histogram below shows the distribution of the yearly incomes of 40 patrons at a college coffee shop. Suppose two new people walk into the coffee shop: one making $225,000 and the other $250,000. The second histogram shows the new income distribution. Summary statistics are also provided. 42 Min. 60,680 60,680 1st Qu. 63,620 63,710 Median 65.240 65,350 Mean 65,000 73.300 3rd Qu. 66,160 66,540 Max. 69,800 250,000 SD 2,122 37.321 40 60000 62500 65000 67500 70000 60000 110000 160000 210000 260000 (a) Would the mean or the median best represent what we might think of as a typical income for the 42 patrons at this coffee shop? What does this say about the robustness of the two measures? If yeu do what you love, you'll never work a day in your life Ma A mount of variability ih What does this the incomes of the 42 patrons at this coffee shop? robustness of the two measures? (b) Would the standard deviation or the IQR best represent the a robustness of the twv n atros at this coffee shop? What does this say aboiiy Question #4(4 points): Rosiglitazone is the active ingredient in the controversial type diabetes medicine Avandia and has been linked to an increased risk of serious cardiovascular problems such as stroke, heart failure, and death. A common alternative ment is pioglitazone, the active ingredient in a diabetes medicine called Actos. In a observational study of 227,571 Medicare beneffciaries aged 65 rosiglitazone and 5,386 using pioglitazone had serious cardiovascular problems. These data are nationwide retrospective years or older, it was found that 2,593 of the 67,593 patients using of the 159,978 summarized in the contingency table below. Cardiovascular problems No 65,000 154,592 219,592 Total 67,593 159,978 227,571 es Treatment Rosiglitazone 2,593 tazone 5,386 Total 7,979 Determine if cach of the following statements is true or false.If false. explain why, Be careful: The reasoning may be wrong even if the statement's conclusion is correct. In such cases, the statement should be considered false. o Since more patients on pioglitazone had cardiovascular problems (5,386 vs. 2,593), we can conclude that the rate of cardiovascular problems for those on a pioglitazone treatment is higher. If you do what you love, you'll mever work a day in your life Maw Atoy Do not besitate to contact if you needed any bel

Answer 1

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