Two-sided alternative hypotheses

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"An investigator wished to determine whether epinephrine has the e ffect of elevating plasma cholesterol levels in humans. Twelve adult males were selected and given both a placebo and the drug. Blood samples were taken following injection of the placebo and again after injection of epinephrine. Analysis of the blood samples resulted in the following data:

Cholesterol Levels (mg/100mL)

subject placebo epinephrin

1 178 184
2 240 243
3 210 210
4 184 189
5 190 200
6 181 191
7 156 150
8 220 226
9 210 220
10 165 163
11 188 192
12 214 216

(a) Formulate an appropriate statistical model, defi ning all the terms. State the null and two-sided alternative hypotheses which reflect the research question of interest.

(b) Enter the data into R, and calculate the means for placebo and epinephrine. Find a 95% confi dence interval for the mean diff erence in cholesterol levels between the placebo and epinephrine. Use the confi dence interval to test your null hypothesis.

Reference no: EM13103760

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