Television advertisers chose shows that will given them the
desired audience demographics like age, income, and education level
that are best suited to their product. In the random sample of 200
viewers who regularly watch Program A, the average age of viewers
was 31.2 years. In a random sample of 300 viewers who regularly
watch Program B, the average age was 29.8 years. Assume that the
standard deviation of ages for the population of Program A viewers
is 5.5 years and that the standard deviation of ages for the
population of Program B viewers is 5.1 years. Conduct a hypothesis
test to test the null hypothesis that there is no difference in the
average age of viewers in the two populations represented. Use a
significance level of α = 0.10.