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
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, 8
Weekend: 9.5, 9.5, 8.25, 8.5, 7.5, 10.25, 8, 7, 9.5, 10
Jocelyn would like to determine if these data provide convincing evidence that the true mean amount of sleep she gets on the weekend differs from the true mean amount of sleep she gets during the school week. She tests H0: μS – μW = 0, Ha: μS – μW ≠ 0, where μW = the true mean amount of sleep Jocelyn gets on the weekend and μS = the true mean amount of sleep she gets during the school week. The conditions for inference have been met. The standardized test statistic is t = –3.79, and the P-value is between 0.002 and 0.005. What conclusion should be made using the significance level, a= 0.01?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
