Archery. A champion archer can generally hit the bull’s-eye 80% of the time. Suppose she shoots 200 arrows during competition. Let pn represent the percentage ofbull’s-eyes she gets (the sample proportion).a) What are the mean and standard deviation of thesampling distribution model for pn?b) Is a Normal model appropriate here? Explain.c) Sketch the sampling model, using the 68–95–99.7 Rule.d) What’s the probability that she gets at least 85%bull’s-eyes?

A simple random sample is taken from a population and yields the following data for a variable of the population. 10 38 17 33 31 12 12 17 31 27 Find a point estimate for the population mean (that is, the mean of the variable). A point estimate for the population mean is. (Round to one decimal place as needed.)

Listed in the accompanying table are waiting times​ (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real​ observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed​ populations, and do not assume that the population standard deviations are equal. Complete parts​ (a) and​ (b). One Line Two Lines   64.1 733.6 64.3 865.2 157.2 605.8 215.8 1089.7 142.2 267.8 85.6 662.7 278.9 310.2 339.6 518.1 253.2 128.8 199.5 565.6 475.7 132.9 630.3 268.2 478.2 122.1 333.1 350.4 473.5 128.9 328.9 95.2 402.1 232.7 914.6 99.7 721.6 461.2 552.8 162.7 760.7 482.2 596.7 100.6 692.3 518.1     837.1 508.5     903.1 580.2

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