23. TV sets: A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. A sample of 85 households is drawn. a. What is the probability that the sample mean number of TV sets is greater than 2? b. What is the probability that the sample mean number of TV sets is between 2.5 and 3? c. Find the 30th percentile of the sample mean. d. Would it be unusual for the sample mean to be less than 2? e. Can you tell whether it would be unusual for an individual

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**23. TV Sets:**

A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. A sample of 85 households is drawn.

a. What is the probability that the sample mean number of TV sets is greater than 2?

b. What is the probability that the sample mean number of TV sets is between 2.5 and 3?

c. Find the 30th percentile of the sample mean.

d. Would it be unusual for the sample mean to be less than 2?

e. Can you tell whether it would be unusual for an individual household to have fewer than 2 TV sets? Explain.
Transcribed Image Text:**23. TV Sets:** A Nielsen Company report states that the mean number of TV sets in a U.S. household is 2.24. Assume the standard deviation is 1.2. A sample of 85 households is drawn. a. What is the probability that the sample mean number of TV sets is greater than 2? b. What is the probability that the sample mean number of TV sets is between 2.5 and 3? c. Find the 30th percentile of the sample mean. d. Would it be unusual for the sample mean to be less than 2? e. Can you tell whether it would be unusual for an individual household to have fewer than 2 TV sets? Explain.
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