58.Random samples of size 36 are taken from an infinite population whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the mean area.36 and 15b.20 and 15c.20 and 0.417d.20 and 2.5ANS: D59.A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of isa.approximately normal because is always approximately normally distributedb.approximately normal because the sample size is large in comparison to the population sizec.approximately normal because of the central limit theoremd.normal if the population is normally distributedANS: D60.A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximatelya.normal because is always approximately normally distributedb.normal because the sample size is small in comparison to the population sizec.normal because of the central limit theoremd.None of these alternatives is correct.ANS: C61.A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is62.A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is63.Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are

64.A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviationof the sample proportion for samples of size 100 area.500 and 0.047b.500 and 0.050c.0.5 and 0.047d.0.5 and 0.050ANS: C65.A sample of 25 observations is taken from an infinite population. The sampling distribution of is66.A sample of 66 observations will be taken from an infinite population. The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is67.A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

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- Microeconomics, Normal Distribution, Standard Deviation, Variance, d.