Television advertisers chose shows that will give 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 = 0.10