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The incomes in a large population of college teachers have an extremely right-skewed distribution with mean $55,000 in standard deviation $5,000. Random sample of five teachers will be selected from this population to serve on a salary review committee. Can we validly use the standard Normal table to calculate the probability that their mean income will be greater than $60,000? A. Yes, because the sampling distribution of X will be approximately normal B. Yes, because using the standard Normal table is always appropriate C. No, because the population standard deviation is not known D. No, because the central limit theorem does not apply.

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The incomes in a large population of college teachers have an extremely right-skewed distribution with mean $55,000 in standard deviation $5,000. Random sample of five teachers will be selected from this population to serve on a salary review committee. Can we validly use the standard Normal table to calculate the probability that their mean income will be greater than $60,000? A. Yes, because the sampling distribution of X will be approximately normal B. Yes, because using the standard Normal table is always appropriate C. No, because the population standard deviation is not known D. No, because the central limit theorem does not apply

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  • 1. The incomes in a large population of college teachers have an extremely right-skewed distribution with mean $55,000 in standard deviation $5,000. Random sample of five teachers will be selected from this population to serve on a salary review committee. Can we validly use the standard Normal table to calculate the probability that their mean income will be greater than $60,000? A. Yes, because the sampling distribution of X will be approximately normal B. Yes, because using the standard Normal table is always appropriate C. No, because the population standard deviation is not known D. No, because the central limit theorem does not apply