Question
Marital Status Age CholChange BPChange VisionChange Happy1 Happy2 Happy3 Male? Patients on anti-smoking medication for twelve weeks tested for side effects S 55 1.7 -1
Marital Status Age CholChange BPChange VisionChange Happy1 Happy2 Happy3 Male? Patients on anti-smoking medication for twelve weeks tested for side effects S 55 1.7 -1 -2 39 42 47 Y M 53 6.4 5 5 26 35 38 N Marital Status: M 37 -2.85 0 -2 59 64 72 N M = married DWS 42 -1.8 0 0 67 66 71 Y S = Single S 41 -2.85 -4 0 26 33 40 N DWS = Divorce, Widowed, or Separated M 67 -2.9 -4 -1 28 27 26 Y Happy 1, 2, and 3 S 65 -2.4 0 -1 44 44 47 N Score between 1 and 100 on a happiness test. Test given three times. M 61 -2.2 -2 6 38 46 54 Y Time 1: before medication began S 44 -1.15 1 2 34 35 34 Y Time 2: after six weeks of medication S 59 -0.65 1 2 63 70 75 N Time 3: after twelve weeks on medication DWS 40 4.25 1 -2 48 52 53 N CholChange M 64 0.25 5 4 37 41 47 Y Change in patient's cholesterol between beginning and end of the twelve weeks M 40 -4 -7 4 48 50 55 N BP Change M 45 -1.8 2 0 69 74 76 N Change in patient's systolic blood pressure between beginning and end of the twelve weeks S 50 -1.65 -1 0 64 70 72 Y Vision Change M 50 2.95 3 -4 62 66 75 Y Change in patient's score on a vision test between beginning and end of the twelve weeks. Higher scores represent better vision. M 45 -1.3 1 2 47 47 51 N Age S 60 7.5 9 6 55 58 62 N Age at beginning of study, in years DWS 29 3.6 3 -2 35 43 43 Y Male? S 38 7.4 5 2 42 41 51 Y "Y" if the patient is male, and "N" otherwise. DWS 56 -1.75 0 -1 55 57 63 Y DWS 53 -1.15 1 -2 38 43 50 Y M 60 1.75 3 -1 60 59 64 N S 51 6.6 4 -2 69 68 69 N S 68 -2.2 1 3 32 39 41 N M 62 6.4 6 0 30 35 41 Y M 49 -1.7 -2 9 35 39 37 Y S 50 -1.35 -3 -3 36 45 42 Y S 59 2.75 3 4 36 38 43 Y S 36 -3.15 -5 5 60 63 64 Y S 43 0.1 3 6 48 57 60 N M 50 -4.25 -3 0 56 58 68 N S 28 4.5 4 0 55 57 57 N M 47 -2.25 -3 3 59 60 60 Y M 49 -0.15 3 -4 43 46 50 Y DWS 55 0.5 4 5 44 47 51 N M 59 -2 -3 1 30 38 41 Y M 58 -2.3 -3 6 59 66 69 N DWS 39 -4.2 -8 0 57 65 72 Y M 50 1.65 0 7 43 51 56 N M 67 -0.4 2 -2 50 54 55 N S 46 -2.65 1 3 40 41 41 Y DWS 50 4.7 5 -4 62 67 66 Y M 52 -2.55 -5 1 58 58 58 N S 34 -0.25 0 8 45 52 59 N S 40 6.6 9 2 48 54 57 Y S 30 3.3 5 6 33 37 45 N S 59 2.95 3 6 37 44 46 N M 39 -3.65 -2 -2 49 58 62 N M 66 4.95 3 -4 59 62 67 N S 62 4.3 6 8 41 37 47 Y M 31 3.35 5 2 46 51 52 Y M 53 2.5 4 -5 46 50 52 Y M 53 4.35 2 0 67 70 79 N M 63 4.05 3 2 39 39 44 Y DWS 52 -3.35 -1 4 75 82 86 Y M 45 3.9 7 -7 62 64 71 Y DWS 47 -3.45 -3 -5 40 48 48 N S 62 -4.45 -4 4 51 58 66 N DWS 41 -2.9 -1 6 66 74 71 N DWS 55 -0.25 -1 4 35 38 41 N M 45 6.3 9 4 50 54 56 N M 46 -0.3 1 -4 37 36 43 N M 49 5.95 7 0 49 52 59 N DWS 43 -0.3 1 3 51 58 63 N DWS 61 4.55 3 -1 33 38 40 Y S 48 5.55 3 7 41 44 50 N DWS 65 -3.65 -5 3 58 66 69 Y DWS 63 6.45 9 6 33 31 36 Y M 23 1.8 4 3 42 41 48 Y DWS 46 -0.05 1 -5 44 48 56 N M 62 6.15 6 2 55 53 51 N M 45 -0.85 0 -2 42 45 49 Y S 60 5.6 7 -2 24 29 29 Y S 60 2.05 4 -2 81 84 87 Y M 51 -2.45 -1 -1 40 44 49 Y M 43 3.25 2 6 67 72 72 N M 63 5.85 5 3 65 63 67 Y M 62 -1.35 -4 3 27 31 38 N M 51 7.1 9 5 49 54 57 N S 58 5.65 4 1 45 43 41 Y M 70 0.65 1 2 33 44 46 Y M 66 6.05 6 -2 43 49 48 N M 62 1.3 1 0 35 43 51 N M 48 -3.7 -6 -4 46 44 50 N M 44 3.15 5 -3 53 55 65 Y M 68 6.1 6 0 40 47 46 N DWS 41 -1.9 1 -2 62 68 72 N M 55 6.15 6 2 68 72 76 Y DWS 60 -1.6 2 6 68 79 84 Y M 56 -4 -1 1 58 63 66 Y DWS 61 5.6 5 7 65 64 63 Y S 47 2.15 1 1 33 36 36 N
Marital Status | Age | CholChange | BPChange | VisionChange | Happy1 | Happy2 | Happy3 | Male? | Patients on anti-smoking medication for twelve weeks tested for side effects | |||||
S | 55 | 1.7 | -1 | -2 | 39 | 42 | 47 | Y | ||||||
M | 53 | 6.4 | 5 | 5 | 26 | 35 | 38 | N | Marital Status: | |||||
M | 37 | -2.85 | 0 | -2 | 59 | 64 | 72 | N | M = married | |||||
DWS | 42 | -1.8 | 0 | 0 | 67 | 66 | 71 | Y | S = Single | |||||
S | 41 | -2.85 | -4 | 0 | 26 | 33 | 40 | N | DWS = Divorce, Widowed, or Separated | |||||
M | 67 | -2.9 | -4 | -1 | 28 | 27 | 26 | Y | Happy 1, 2, and 3 | |||||
S | 65 | -2.4 | 0 | -1 | 44 | 44 | 47 | N | Score between 1 and 100 on a happiness test. Test given three times. | |||||
M | 61 | -2.2 | -2 | 6 | 38 | 46 | 54 | Y | Time 1: before medication began | |||||
S | 44 | -1.15 | 1 | 2 | 34 | 35 | 34 | Y | Time 2: after six weeks of medication | |||||
S | 59 | -0.65 | 1 | 2 | 63 | 70 | 75 | N | Time 3: after twelve weeks on medication | |||||
DWS | 40 | 4.25 | 1 | -2 | 48 | 52 | 53 | N | CholChange | |||||
M | 64 | 0.25 | 5 | 4 | 37 | 41 | 47 | Y | Change in patient's cholesterol between beginning and end of the twelve weeks | |||||
M | 40 | -4 | -7 | 4 | 48 | 50 | 55 | N | BP Change | |||||
M | 45 | -1.8 | 2 | 0 | 69 | 74 | 76 | N | Change in patient's systolic blood pressure between beginning and end of the twelve weeks | |||||
S | 50 | -1.65 | -1 | 0 | 64 | 70 | 72 | Y | Vision Change | |||||
M | 50 | 2.95 | 3 | -4 | 62 | 66 | 75 | Y | Change in patient's score on a vision test between beginning and end of the twelve weeks. Higher scores represent better vision. | |||||
M | 45 | -1.3 | 1 | 2 | 47 | 47 | 51 | N | Age | |||||
S | 60 | 7.5 | 9 | 6 | 55 | 58 | 62 | N | Age at beginning of study, in years | |||||
DWS | 29 | 3.6 | 3 | -2 | 35 | 43 | 43 | Y | Male? | |||||
S | 38 | 7.4 | 5 | 2 | 42 | 41 | 51 | Y | "Y" if the patient is male, and "N" otherwise. | |||||
DWS | 56 | -1.75 | 0 | -1 | 55 | 57 | 63 | Y | ||||||
DWS | 53 | -1.15 | 1 | -2 | 38 | 43 | 50 | Y | ||||||
M | 60 | 1.75 | 3 | -1 | 60 | 59 | 64 | N | ||||||
S | 51 | 6.6 | 4 | -2 | 69 | 68 | 69 | N | ||||||
S | 68 | -2.2 | 1 | 3 | 32 | 39 | 41 | N | ||||||
M | 62 | 6.4 | 6 | 0 | 30 | 35 | 41 | Y | ||||||
M | 49 | -1.7 | -2 | 9 | 35 | 39 | 37 | Y | ||||||
S | 50 | -1.35 | -3 | -3 | 36 | 45 | 42 | Y | ||||||
S | 59 | 2.75 | 3 | 4 | 36 | 38 | 43 | Y | ||||||
S | 36 | -3.15 | -5 | 5 | 60 | 63 | 64 | Y | ||||||
S | 43 | 0.1 | 3 | 6 | 48 | 57 | 60 | N | ||||||
M | 50 | -4.25 | -3 | 0 | 56 | 58 | 68 | N | ||||||
S | 28 | 4.5 | 4 | 0 | 55 | 57 | 57 | N | ||||||
M | 47 | -2.25 | -3 | 3 | 59 | 60 | 60 | Y | ||||||
M | 49 | -0.15 | 3 | -4 | 43 | 46 | 50 | Y | ||||||
DWS | 55 | 0.5 | 4 | 5 | 44 | 47 | 51 | N | ||||||
M | 59 | -2 | -3 | 1 | 30 | 38 | 41 | Y | ||||||
M | 58 | -2.3 | -3 | 6 | 59 | 66 | 69 | N | ||||||
DWS | 39 | -4.2 | -8 | 0 | 57 | 65 | 72 | Y | ||||||
M | 50 | 1.65 | 0 | 7 | 43 | 51 | 56 | N | ||||||
M | 67 | -0.4 | 2 | -2 | 50 | 54 | 55 | N | ||||||
S | 46 | -2.65 | 1 | 3 | 40 | 41 | 41 | Y | ||||||
DWS | 50 | 4.7 | 5 | -4 | 62 | 67 | 66 | Y | ||||||
M | 52 | -2.55 | -5 | 1 | 58 | 58 | 58 | N | ||||||
S | 34 | -0.25 | 0 | 8 | 45 | 52 | 59 | N | ||||||
S | 40 | 6.6 | 9 | 2 | 48 | 54 | 57 | Y | ||||||
S | 30 | 3.3 | 5 | 6 | 33 | 37 | 45 | N | ||||||
S | 59 | 2.95 | 3 | 6 | 37 | 44 | 46 | N | ||||||
M | 39 | -3.65 | -2 | -2 | 49 | 58 | 62 | N | ||||||
M | 66 | 4.95 | 3 | -4 | 59 | 62 | 67 | N | ||||||
S | 62 | 4.3 | 6 | 8 | 41 | 37 | 47 | Y | ||||||
M | 31 | 3.35 | 5 | 2 | 46 | 51 | 52 | Y | ||||||
M | 53 | 2.5 | 4 | -5 | 46 | 50 | 52 | Y | ||||||
M | 53 | 4.35 | 2 | 0 | 67 | 70 | 79 | N | ||||||
M | 63 | 4.05 | 3 | 2 | 39 | 39 | 44 | Y | ||||||
DWS | 52 | -3.35 | -1 | 4 | 75 | 82 | 86 | Y | ||||||
M | 45 | 3.9 | 7 | -7 | 62 | 64 | 71 | Y | ||||||
DWS | 47 | -3.45 | -3 | -5 | 40 | 48 | 48 | N | ||||||
S | 62 | -4.45 | -4 | 4 | 51 | 58 | 66 | N | ||||||
DWS | 41 | -2.9 | -1 | 6 | 66 | 74 | 71 | N | ||||||
DWS | 55 | -0.25 | -1 | 4 | 35 | 38 | 41 | N | ||||||
M | 45 | 6.3 | 9 | 4 | 50 | 54 | 56 | N | ||||||
M | 46 | -0.3 | 1 | -4 | 37 | 36 | 43 | N | ||||||
M | 49 | 5.95 | 7 | 0 | 49 | 52 | 59 | N | ||||||
DWS | 43 | -0.3 | 1 | 3 | 51 | 58 | 63 | N | ||||||
DWS | 61 | 4.55 | 3 | -1 | 33 | 38 | 40 | Y | ||||||
S | 48 | 5.55 | 3 | 7 | 41 | 44 | 50 | N | ||||||
DWS | 65 | -3.65 | -5 | 3 | 58 | 66 | 69 | Y | ||||||
DWS | 63 | 6.45 | 9 | 6 | 33 | 31 | 36 | Y | ||||||
M | 23 | 1.8 | 4 | 3 | 42 | 41 | 48 | Y | ||||||
DWS | 46 | -0.05 | 1 | -5 | 44 | 48 | 56 | N | ||||||
M | 62 | 6.15 | 6 | 2 | 55 | 53 | 51 | N | ||||||
M | 45 | -0.85 | 0 | -2 | 42 | 45 | 49 | Y | ||||||
S | 60 | 5.6 | 7 | -2 | 24 | 29 | 29 | Y | ||||||
S | 60 | 2.05 | 4 | -2 | 81 | 84 | 87 | Y | ||||||
M | 51 | -2.45 | -1 | -1 | 40 | 44 | 49 | Y | ||||||
M | 43 | 3.25 | 2 | 6 | 67 | 72 | 72 | N | ||||||
M | 63 | 5.85 | 5 | 3 | 65 | 63 | 67 | Y | ||||||
M | 62 | -1.35 | -4 | 3 | 27 | 31 | 38 | N | ||||||
M | 51 | 7.1 | 9 | 5 | 49 | 54 | 57 | N | ||||||
S | 58 | 5.65 | 4 | 1 | 45 | 43 | 41 | Y | ||||||
M | 70 | 0.65 | 1 | 2 | 33 | 44 | 46 | Y | ||||||
M | 66 | 6.05 | 6 | -2 | 43 | 49 | 48 | N | ||||||
M | 62 | 1.3 | 1 | 0 | 35 | 43 | 51 | N | ||||||
M | 48 | -3.7 | -6 | -4 | 46 | 44 | 50 | N | ||||||
M | 44 | 3.15 | 5 | -3 | 53 | 55 | 65 | Y | ||||||
M | 68 | 6.1 | 6 | 0 | 40 | 47 | 46 | N | ||||||
DWS | 41 | -1.9 | 1 | -2 | 62 | 68 | 72 | N | ||||||
M | 55 | 6.15 | 6 | 2 | 68 | 72 | 76 | Y | ||||||
DWS | 60 | -1.6 | 2 | 6 | 68 | 79 | 84 | Y | ||||||
M | 56 | -4 | -1 | 1 | 58 | 63 | 66 | Y | ||||||
DWS | 61 | 5.6 | 5 | 7 | 65 | 64 | 63 | Y | ||||||
S | 47 | 2.15 | 1 | 1 | 33 | 36 | 36 | N |
1. Calculate descriptive statistics for all of the quantitative variables. 2. For your data scenario, write the null hypothesis in words (not symbols) for each of the following questions: a. Before the drug trial even began, was there already a difference in happiness among males vs females? b. Does this drug affect a patient's vision? c. Suppose the change in cholesterol the FDA is concerned with when approving a drug is an increase of 6 points or more for "many" patients. Define "many" as 25%. (Assume the FDA believes a drug is "dangerous unless determined to be safe."
3a, 3b, 3c. Write null and alternative hypotheses in symbols for each of the questions or studies in step 2a, 2b, and 2c. 4a, 4b, 4c. Conduct each test. For each test, report the sample mean(s) or sample proportion(s), the sample size(s), standard error, test statistic, and p-value. 5a, 5b, 5c. create a two to three sentence summary of each test result with a recommended action for an appropriate audience.
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