Julius has conducted a very small study of the amount of sleep his dorm mates get each night.He believes that those who are on one of the school's sports teams will get more sleep than those who are not.Julius asked 6 people in his dorm who do not play sports and 6 who do play sports to participate.Because he thinks that the number of credit hours a student is taking also might impact sleep habits,he matched each person in the "plays sports" group with a person in the "does not play sports" group who was carrying the same number of hours.The descriptive statistics from his survey are given below.Conduct an appropriate one-tailed t-test using and determine the t_obt. A)t(5)= 2.35 B)t(5)= 2.28 C)t(10)= 1.80 D)t(10)= 1.75

Question

Quizplus · Accepted Answer

Since Julius is conducting a one-tailed t-test and believes that those who play sports get more sleep than those who do not, we need to look for the t-value that corresponds to the direction of his hypothesis. The degrees of freedom for this test are 10, which is the sum of the number of pairs (6) minus 1. Using a significance level of 0.05 and a one-tailed test, we find the critical t-value to be 1.812 (from a t-table or calculator). The calculated t-value of 2.28 is higher than the critical value and falls in the rejection region, meaning we can reject the null hypothesis and conclude that there is a significant difference in sleep habits between those who play sports and those who do not.

Julius Has Conducted a Very Small Study of the Amount