Milton and Webster, two brothers with very different tastes in television shows, have been arguing for months over who should get to watch their mother’s giant LCD television. Milton always complains that Webster gets too much time to watch the programs he wants to watch, leaving Milton to use a smaller TV. Webster counters though that Milton gets just as much time as he does because Milton watches everyday whereas Webster, though he admits to watching for hours at a time, only does so two or three times a week. Their mother, a Vice President at a large corporation, and having taken statistics class many years ago, remembers that she can test to determine whether or not Milton’s claim is accurate. Over the course of 21 days, she records the amount of time that each brother spends watching the big screen TV. For Milton, the average time is 71minutes with a standard deviation of 34 minutes. For Webster, the average time is 96 minutes with a standard deviation of 51 minutes. She wants to determine if one boy watches more than the other and wants to be 95% confident in her findings. Write an appropriate null hypothesis.
Write an appropriate alternative hypothesis assuming this is a two-tail test. [2 marks] Which type of test should be selected for this problem? Why?
