The National Cable and Telecommunications Association recently reported that the mean number of HDTVs per household in the United States is 2.30 with a standard deviation of 1.474 sets. A sample of 100 homes in Boise, Idaho, revealed the following sample information.

Number of HDTVs Number of Households 0 7 1 27 2 28 3 18 4 10 5 or more 10 Total 100 At the 0.05 significance level, is it reasonable to conclude that the number of HDTVs per household follows a normal distribution? (Hint: Use limits such as 0.5 up to 1.5, 1.5 up to 2.5, and so on.) State the decision rule. Use 0.05 significance level. (Round your answer to 2 decimal places.)

H0: The population of television sets follows a normal distribution. H1: The population of television sets does not follow a normal distribution. Reject H0 if chi-square >