2. (15 pts) A high school claims that boys studied less often than girls. 16 boys and 16 girls were sampled and the mean number of hours they studied in the last week was determined. Results are shown below, along with the p-values of many tests. Can you support the high school's claim at a significance level of 10%?

Reported p-values two tail lower tail upper tail boys girls F-test comparing two varaince 0.7419 mean 9.88 12.06 Pooled Variance t-test 0.1727 0.0864 0.9136 std dev 4.62 4.23 Unequal Variance t-test 0.1731 0.0865 0.9135 n 16 16 Matched Pairs t-test 0.2058 0.1029 0.8971 0