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What is the probability that the sample mean tv viewing

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According to Nielsen Media Research, the average number of hours of TV viewing per household per week in the United States is 50.4 hours.

(a) Suppose the population standard deviation is 11.8 hours and a random sample of 42 U.S. household is taken, what is the probability that the sample mean TV viewing time is between 47.5 and 52 hours?

(b) Suppose the population mean and sample size is still 50.4 hours and 42, respectively, but the population standard deviation is unknown. If 72% of all sample means are greater than 49 hours, what is the value of the unknown population standard deviation?

(c) What is the result of part (a) if the sample only consists of 5 households? Explain.

Reference no: EM132495756

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