\fJOCD (1) D E volume group 0.308 OCD 2 0.407 OCD 3 0.463 OCD 4 0.21 OCD 5 0.455 OCD 6 0.334 OCD 7 0.304 OCD 8 0.287 OCD 9 0.34 OCD 10 0.344 OCD 11 0.288 OCD 12 0.305 OCD 13 0.519 Control Columns (2/1) 14 0.501 Control 15 0.334 Control 16 0.476 Control volume idgroup 17 0.402 Control 18 0.483 Control 19 0.413 Control 20 0.349 Control 21 0.46 Control 22 0.429 Control 23 0.594 Control 24 0.445 Control1. Use OCD.jmp. Volume, in mL, was measured for the caudate nucleus of the brain in two groups of men: one group with severe obsessive-compulsive disorder and one group of healthy controls. We will assume random and independent samples. a. Does this data meet the two-sample t robustness criteria? (see lecture 9, slide 7 for details) b. Find a 95% confidence interval to estimate the difference in population means. (see lecture 9 slides 10 and 11 for a refresher) c. Provide a 2-sentence interpretation of your confidence interval. How large might the difference in means be? Is it a statistically significant difference, and how can you tell? 2. Use FloridaLakes.jmp (posted next to lecture 10). Does this data provide convincing evidence at a = 0.05 that the mean pH of Florida lakes differs from a neutral pH of 7? a. Perform all seven steps of a one-sample t-test. b. Sketch a t distribution, mark off your test statistic, and shade the area corresponding to your P-value. c. What type of error might have occurred in your test, type | or type II? 3. The concentration of radioactive cesium in Pacific bluefin tuna has historically been 2 becquerels/kg, on average. Fifteen Pacific bluefin tuna were measured four months after the Fukushima nuclear meltdown; see tuna.jmp. a. Which significance level is most appropriate if want to be very sure that any potential increase in radioactivity is detected: 0.01, 0.05, or 0.10? Briefly explain your reasoning. b. Does this data provide convincing evidence that the concentration of radioactive cesium in Pacific bluefin tuna increased following the meltdown? Use all 7 steps of hypothesis testing with the significance level that you selected in part a. 4. What is wrong with the following statement? \"At a significance level of 0.05, we found convincing evidence that the mean weight of laboratory rats is equal to 400 grams (P =0.36).\" FloridaLakes Largemouth Notes: Water quality for a sample Lake Bass Mercury Alkalinity PH Calcium Chlorophyll In(Chlorophyll) Reference: From Statistics, Unloc 2 Annie 1.33 3.5 5.1 1.9 3.2 1.1632 3 Apopka 0.04 116 9.1 44.1 128.3 4.8544 4 Blue Cypress 0.44 39.4 6.9 16.4 3.5 1.2528 5 Brick 1.2 2.5 4.6 2.9 1.8 0.5878 6 Bryant 0.27 19.6 7.3 4.5 44.1 3.7865 7 Cherry 0.48 5.2 5.4 2.8 3.4 1.2238 8 Crescent 0.19 71.4 8.1 55.2 33.7 3.5175 9 Deer Point 0.83 26.4 5.8 9.2 1.6 0.47 Columns (7/1) 10 Dias 0.81 4.8 6.4 4.6 22.5 3.1135 11 Dorr 0.71 6.6 5.4 2.7 149 2.7014 . Lake 12 Down 0.5 16.5 7.2 13.8 1.3863 Largemouth Bass Mercury 13 Eaton 0.49 25.4 7.2 25.2 11.6 2.451 Alkalinity 14 East Tohopekaliga 1.16 7.1 5.8 5.2 5.8 1.7579 PH 15 Farm-13 0.05 128 7.6 86.5 71.1 4.2641 Calcium Chlorophyll 16 George 0.15 83.7 8.2 66.5 78.6 4.3644 In(Chlorophyll) + 17 Griffin 0.19 108.5 8.7 35.6 80.1 4.3833 18 Harney 0.77 61.3 7.8 57.4 13.9 2.6319 19 Hart 1.08 6.4 5.8 4 4.6 1.5261 20 Hatchineha 0.98 31 6.7 15 17 2.8332 21 lamonia 0.63 7.5 4.4 2 9.6 2.2618 22 Istokpoga 0.56 17.3 6.7 10.7 9.5 2.2513 23 Jackson 0.41 12.6 6.1 3.7 21 3.0445 24 Josephine 0.73 6.9 6.3 32.1 3.4689 25 Kingsley 0.34 10.5 5.5 6.3 1.6 0.47 26 Kissimmee 0.59 30 6.9 13.9 21.5 3.0681 27 Lochloosa 0.34 55.4 7.3 15.9 24.7 3.2068 28 Louisa 0.84 3.9 4.5 3.3 1.9459 29 Miccasukee 0.5 5.5 4.8 1.7 14.8 2.6946 Rows 0.34 6.3 5.8 3.3 0. 7 -0.357 All rows 53 30 Minneola Selected 31 Monroe 0.28 67 7.8 58.6 ab@3. 3.7796 Excluded 32 Newmans 0.34 28.8 7.4 10.2 32.7 3.4874 OO - Hidden 33 Ocean Pond 0.87 5.8 3.6 1.6 1.1632 Labeled 34 Ocheese Pond 0.56 4.5 4.4 1.1 3.2 1.1632 35 Okeechobee 0.17 119.1 7.9 38.4 16.1 2.7788 36 Orange 0.18 25.4 7.1 8.8 45.2 3.8111 37 Panasoffkee 0.19 106.5 6.8 90.7 16.5 2.8034 38 Parker 0.04 53 8.4 45.6 152.4 5.0265 39 Placid 0.49 8.5 2.5 12.8 2.5494 40 Puzzle 1.1 87.6 7.5 85.5 20.1 3.0007