Question

TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24. Assume the standard deviation is 1.4. A sample of 80 households is drawn. Use the Cumulative Normal Distribution Table if needed. Part 1 of 5 What is the probability that the sample mean number of TV sets is greater than 2? Round your answer to four decimal places. The probability that the sample mean number of TV sets is greater than 2 is . Part 2 of 5 What is the probability that the sample mean number of TV sets is between 2.5 and 3? Round your answer to four decimal places. The probability that the sample mean number of TV sets is between 2.5 and 3 is . Part 3 of 5 Find the 40th percentile of the sample mean. Round your answer to two decimal places. The 40th percentile of the sample mean is . Part 4 of 5 Would it be unusual for the sample mean to be less than 2? Round your answer to four decimal places. It ▼(Choose one) unusual because the probability of the sample mean being less than 2 is . Part 5 of 5 Do you think it would be unusual for an individual household to have fewer than 2 TV sets? Explain. Assume the population is approximately normal. Round your answer to four decimal places. It ▼(Choose one) be unusual for an individual household to have fewer than 2 TV sets, since the probability is .

Answer 1

Mean = = 2.24

Standard deviation = = 1.4 and n = 80

Let X be the number of TV set.

It would not be unusual for an individual household to have fewer than 2 TV sets, since the probability is greater than 0.05