A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are currently taking statistics and asks them how much time they spend completing statistics homework each night. She would like to know if there is convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than 1 hour. The student plans to test the hypotheses, = 1 versus < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night. Assume all conditions have been met.