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4. Long-lasting drugs: One of the ways in which doctors try to determine how long a single dose of pain reliever will provide relief is to measure the drug's half-life, which is the length of time it takes for one-half of the dose to be eliminated from the body. A report of the National Institutes of Health states that the standard deviation of the half-life of the pain reliever oxycodone is o=1.43 hours. Assume that a sample of 25 patients is given the drug, and the sample standard deviation of the half-lives was s=1.5 hours. Assume the population is normally distributed. Can you conclude that the true standard deviation is greater than the value reported by the National Institutes of Health? Use the a=0.01 level of significance. (pts) correct 5. Guess the answer: A statistics instructor gave a four-question true-false quiz to his class of 150 students. The results were as follows. Number 0 1 2 3 4 Observed 2 13 29 71 35 The instructor thinks that the students may have answered the questions by guessing, so that the probability that any given answer is correct is 0.5. Under this null hypothesis, the number of correct answers has a binomial distribution with 4 trials and success probability 0.5. Perform a chi-square test of this hypothesis. Can you reject H, at the a=0.05 level (pts) 6. Schools and museums: Do people who are interested in environmental issues visit museums more often than people who are not? The General Social Survey asked 990 people how interested they were in environmental issues, and how often they science museum in the past year. The following table