Question: Question 3

A random sample of 250 households in a large city revealed that the mean number of televisions per household was 2.76. From previous analyses, we know that the population standard deviation is 1.8. Use this information to answer the following question(s).

a) Can we conclude that at the 5% significance level the true mean number of televisions per household is at least 2.5?

b) Calculate the p-value.

c) Compute the probability of a Type II error if the true mean number of televisions per household is 3.