d. 40 e all of these 15. Given a sampling distribution of the sample mean x that
ID: 3312154 • Letter: D
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d. 40 e all of these 15. Given a sampling distribution of the sample mean x that is normally distributed and has a mean of 30 and a sample mean standard deviation of 8, a sample mean of 40 corresponds to: a. az-value of+1.25 b. a z-value of -1.25 c. a z-value of +2.25 d. a sample size of 120 e. a sample size of 300 16, Given a population variance of 2 = 36 and asam ple size of n-9,these imply a standard deviation ofthe sampling distribution of the sample mean, x, of. b. 2 d. 1/2 17. Suppose an actual census showed that 20% of the households in Michigan have incomes in excess of $60,000. Assume that a random sample of 500 bouseholds in Michigan is taken. Then, the standard error of the sampling distribution of sample proportion of households who have incomes in excess of $60,000 will be: a. 0.1600 b. 0.0003 c. 0.0179 d. 0.0256 e. 0.1482 18. An interval estimate is an interval that provides an upper and lower bound for a specific population parameter whose value is unknown. a. True characteristic. It is usually derived from a random sample from the population of interest. a. True between $38.75 and $72.23, the numbers $38.75 and $72.23 are considered point estimates for the true b. False 19. A point estimate is a single number that is used as an estimate of a population parameter or population b. False 20. If a store manager has recently stated that she estimates the mean amount spent per customer per visit to be population mean. a. True b. False 21. From a sample of 200 ntems, 12 items are defective. The point estimate of the popalation proportion defective will be: a. 12 b. 0.12 e 16.67Explanation / Answer
15) Z = (40 - 30) / 8 = 1.25
Option-A)
16) standard deviation of sampling distribution = 6 / sqrt(9) = 2
Option-B)
17) standard error = sqrt(0.2 * (1 - 0.2) / 500) = 0.0179
Option-C)
18) True
19) true
20) false
21) point estiamte = 12/200 = 0.06
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