Using the procedures in Computer Solutions 8.1 as a general guide, simulate 150 simple random samples of size n = 4 from a normal distribution with a mean of 80 and a standard deviation of 20. Determine the mean and the standard deviation of the 150 sample means, then compare these with their theoretically expected values. Given the nature of the population distribution, would we expect the distribution of sample means to be at least approximately normally distributed? Generate a histogram of the sample means and comment on the shape of the distribution.
Answer to relevant QuestionsRepeat Exercise 8.40, but with n = 30 observations in each sample. Repeat Exercise Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, with a standard deviation of 1.5 minutes. The distribution is positively skewed, since persons who ...Of 500 vehicles sold by an auto dealership last month, 200 have a defect that will require a factory recall for dealer correction. For a simple random sample of n 5 50 of last month’s customers, what is the probability ...For a random variable that is normally distributed, with μ = 200 and σ = 20, determine the probability that a simple random sample of 4 items will have a mean that is a. Greater than 210. b. Between 190 and 230. c. Less ...A survey of business travelers found that 40% of those surveyed utilize hotel exercise facilities during their stay. Under the assumption that a simple random sample of 1000 business travelers were surveyed, construct and ...
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