A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 63 randomly selected boys is 151 with a standard deviation of 36, and the mean score for 65 randomly selected girls is 149 with a standard deviation of 34. At α = 0.10, can you reject the teacher's claim? Assume the populations are normally distributed and the population variances are equal.
In a random sample of 1216 U.S. adults, 966 favor using mandatory testing to assess how well schools are educating students. In another random sample of 1202 U.S. adults taken 9 years ago, 893 favored using mandatory testing to assess how well schools are educating students. At α = 0.05, can you support the claim that the proportion of U.S. adults who favor mandatory testing to assess how well schools are educating students is more than it was 9 years ago?