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A simple random sample of five months of sales data provided the following information: a.Develop a point estimate of the population mean number of units sold per month. b.Develop a point estimate of the population standard deviation (to 2 decimals). The president of Doerman Distributors, Inc., believes that 26% of the firm's orders come from first-time customers. A simple random sample of 80 orders will be used to estimate the proportion of first-time customers. a.Assume that the president is correct and p = 0.26. What is the sampling distribution of for this study? - Select your answer -A normal distribution because np and n(1-p) are both greater than 5A normal distribution because np and n(1-p) are both less than 5A non normal distribution b.What is the probability that the sample proportion will be between .20 and .40 (to 4 decimals)? c.What is the probability that the sample proportion will be between .25 and .35 (to 4 decimals)? The College Board American College Testing Program reported a population mean SAT score of = 1020 (The World Almanac 2003). Assume that the population standard deviation is = 100. a.What is the probability that a random sample of 75 students will provide a sample mean SAT score within 10 of the population mean (to 4 decimals)? b.What is the probability a random sample of 75 students will provide a sample mean SAT score within 20 of the population mean (to 4 decimals)?

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