A researcher claims that on average, high school students sleep less than middle school students. The researcher recorded the sleeping times of 49 middle school students and 55 high school students.
For the middle school students, the mean daily time asleep was 8.0 hours with standard deviation
0.2 hours.
For the high school students, the mean daily time asleep was 7.9 hours with standard deviation
0.5 hours
Conduct a two-sample t-test to test the researcher's claim on the 5% level.