Download Quiz 6: Statistical Inference and Hypothesis Testing in Mathematics 243 - Prof. Hao Wang and more Quizzes Probability and Statistics in PDF only on Docsity! Quiz 6 Name Math 243 GTF May 15, 2009 Disc. Time 1. A survey is given to a simple random sample of first year college students at the University of Oregon. The question asked is “About how many minutes do you watch television on a typical weeknight?” The 99% confidence interval for µ is (43.1, 47.9). Which of the following statements gives a valid interpretation of this interval? (a) The mean number of minutes of television watched by University of Oregon students is 45.5. (b) The sample contained at least 99% of all first year university students. (c) 99% of the sample of first year University of Oregon students watch between 43.1 and 47.9 minutes of television a night. (d) 99% of all first year University of Oregon students watch between 43.1 and 47.9 minutes of television a night. (e) If the procedure was repeated many times, approximately 99% of the resulting con- fidence intervals would contain the mean amount of television watched by all first year University of Oregon students. (f) If the procedure was repeated many times, approximately 99% of the resulting confidence intervals would contain the mean amount of television watched by the sample of first year University of Oregon students. (g) Nothing, because of a poor sampling procedure. 2. Cola makers test new recipes for loss of sweetness during storage. Trained tasters rate the sweetness before and after storage. You would like to know if there is good evidence at the α = 0.02 level that a particular cola lost sweetness in storage. You study a simple random sample of ten sweetness losses (sweetness before storage minus sweetness after storage) and compute a P value of 0.0123. Consider the following statements: I. We reject H0 : µ = 0 at α = 0.02. II. We do not reject H0 : µ = 0 at α = 0.02. III. We find evidence supporting Ha : µ > 0 at α = 0.02. IV. We do not find evidence supporting Ha : µ > 0 at α = 0.02. The best conclusion is: (a) We should only conclude (I). (b) We should only conclude (II). (c) We should only conclude (I) and (III). (d) We should only conclude (I) and (IV). (e) We should only conclude (II) and (III). (f) We should only conclude (II) and (IV). (g) We should conclude (I), (II), (III), and (IV). (h) We cannot conclude anything.
