Advanced Placement (AP), 11.03.2021 18:00 mahdy43
Thirty middle-aged women with serum triiodothyronine (T3) readings between 180 nanograms and 200 nanograms per deciliter selected randomly from a population of similar female patients at a large local hospital. Fifteen of the 30 women were assigne d group A and received a placebo. The other 15 women were assigned to group B and received a new T3 drug. After three months, posttreatment T3 readings were taken for all 30 women and were compared with pretreatment readings. The reduction in T3 level (Pretreatment reading - Posttreatment reading) for each woman in the study is shown here.
Group A (placebo
reduction (in nanograms per deciliter): 2, 19, 8, 4, 12, 8, 17, 7, 24, 1, 3, 7, 11, 15, 9
Group B (T3 drug reduction (in nanograms per deciliter): 30, 19, 18, 17, 20, -4, 23, 10, 9, 22, 17, 21, 13, 31, 15
Part A: Do the data provide convincing evidence, at the a = 0.01 level, that the T3 drug is effective in producing a reduction in mean T3 level? (6
points) Part B: Create and interpret a 99% confidence interval for the difference in the placebo and the new drug (4 points)
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Thirty middle-aged women with serum triiodothyronine (T3) readings between 180 nanograms and 200 nan...
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