Answer-7 called? What is the fIImula lo of the distribution of sample means? 6.

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Answer-7

called? What is the fIImula lo of the distribution of sample means? 6. What formula sused to gain information about an 5. What does the central limit theorem say about the shape individual data value when the variable is normally distributed? For Exercises 7 through 25, assume that the sample is taken from a large population and the correction factor can be ignored 7. Unemployment Benefits The average weekly unemployment benefit in Montana is $272. Suppose that the benefits are normally distributed with a standard deviation of $43. A random sample of 15 benefits is chosen in Montana. What is the probability that the mean for this sample is greater than the U.S. average, which is $299? Is the normal distribution appropriate here since the sample size is only 15? Explain. Source: World Almanac. 8. Glass Garbage Generation A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 55 families will be between 17 and 18 pounds Source Michael I D. Shook and Robert L. Shook. The Book of Odds. 9. College Costs The tuition, fees, room, and board for four-year institutions mean undergraduate cost for was $26,489 for a recent academic year. Sul that = $3204 and that 36 f randomly sal

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7) Mean = 272

SD = 43

n = 15

P(X > 229)

z = (229 - 272)/43

z = - 1

P(z > - 1) = 0.8413

Note that the sample size (n=15) is less than 30, but the source population is normally distributed, so this is not a problem.

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