According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sne s 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c). (a) Using the binomial distribution, what is the probability that among 16 randomly observed individuals, exactly 6 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (b) Using the binomial distribution, what is the probability that among 16 randomly observed individuals, fewer than 5 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.) (c) Using the binomial distribution, would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? V it V be surprising, because the probability is, which is V 0.05. Round to four decimal places as needed.)

Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $133,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 22 graduates. Round all answers to four decimal places if necessary.   For a single randomly selected graduate, find the probability that her salary is between $136,209 and $142,906. For a simple random sample of 22 graduates, find the probability that the average salary is between $136,209 and $142,906. For part 2), is the assumption of normal necessary? No Yes

In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200.   NOTE: Please explain each part, so the problem can be used as a Study Guide

Suppose you did an experiment with 3 groups and 16 subjects per group. The sample variances in the three groups were 14, 16, and 18. Using Tukey's test to compare the means, what would be the two-tailed probability for a comparison of the first mean (14) with the last mean (18)?