Time: 1 hour
Name (please print):
Show all your work and calculations. Partial credit will be given for work that is partially correct. Points will be deducted for false statements shown in the solution to a problem, even if the final answer is correct. Numbers in the right-hand margin indicate the number of points for each question. If extra space is needed, use the back of a page and indicate this clearly on the question page.
This exam is closed-book. You may not consult any notes or books during this exam. One formula page, and tables are provided separately. Calculators are permitted.
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1. In a study of anemia in cattle, researchers measured concentration of selenium in blood of 36 cows that had been given a dietary supplement of selenium. The cows were of the same breed (Santa Gertrudis) and had borne their first calf during the year. The mean selenium concentration was 6.21 µ g/mLi and the standard deviation was 1.84 µg/mLi.
a) Construct a 95% confidence interval for the population mean.
b) Interpret in words your confidence interval found above.
c) Estimate how many cows should be used in the study for the standard error of the sample mean to be smaller than 0.2 µ g/mLi?
2. Researchers studied the short-term effect that caffeine has on heart rate. A group of twenty volunteers drank six ounces of coffee. Nine of the subjects were given coffee containing caffeine and eleven...