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 .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 3 decimal places.)

H₀: The population of television sets follows a normal distribution.H₁: The population of television sets does not follow a normal distribution.

RejectH₀if²>

Compute the value of chi-square.(Round your answer to 4 decimal places.)