Question 7 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
Jocelyn believes that the amount of sleep she tends to get on weekends differs from the amount of sleep she tends to get during the school week. To investigate this claim, she randomly selects 10 weekend days and 10 school days. She consults her smart watch to determine the number of hours she slept for each of the selected days. Here are the data.School week: 7, 7.5, 8, 6.5, 8, 7.5, 7, 6.5, 7, 8Weekend: 9.5, 9.5, 8.25, 8.5, 7.5, 10.25, 8, 7, 9.5, 10
Answer
A
Reject H0. There is convincing evidence that Jocelyn slept less during school weeks than she slept on the weekends.
B
Reject H0. There is convincing evidence that the true mean amount of sleep Jocelyn gets on the weekends differs from the true mean amount of sleep she gets during the school week.
C
Fail to reject H0. There is not convincing evidence that Jocelyn slept less during the school week than she slept on the weekends.
D
Fail to reject H0. There is not convincing evidence that the true mean amount of sleep Jocelyn gets on the weekends differs from the true mean amount of sleep she gets during the school week.