13.(show work)

13. Pleasant smells Do pleasant odors change the rate at which people work? To test this idea, 21 subjects worked two different but roughly equivalent paper- and-pencil mazes, one while wearing an unscented mask and the other while wearing a mask with a flo- ral scent. The order in which the masks were worn by each subject was determined at random. Here are the differences (Unscented - Scented) in their average times (in seconds). $6 -7.37 -3.14 4.10 -4.40 19.47 -10.80 -0.87 8.70 2.94 - 17.24 14.30 -24.57 16.17 -7.84 8.60 -10.77 24.97 -4.47 11.90 -6.26 6.67 (a) Calculate and interpret a 95% confidence interval for the mean change in time to solve a maze when wear- ing a mask with a floral scent for subjects like these. b) Based on the confidence interval in part (a), do the data provide convincing evidence of a difference in the mean time it takes to complete the maze with and without the floral scent for subjects like these? Explain. (7 1 8