Lesson 6.02 Assignment Matched Pairs Problem: Studies suggest that listening to classical music improves students' performance on tests. Perhaps pleasant odors have a similar effect. To test this idea, 21 subjects worked a paper-and-pencil maze while wearing a mask. The mask was either unscented or carried a lavender scent. The response variable is their average time on three trials. Each subject worked the maze with both masks, in a random order. The randomization is important because subjects tend to improve their times as they work a maze repeatedly. The following table gives the difference (unscented-scented) in the average times with both masks for each subject. Difference Difference . Unscented- . Unscented Subject Scented Subject - Scented (seconds) (seconds) _-_ II"!!! -_-III \"- u\" n- ma nun "-1!\" n_-_ 1) Put the data for the differences in your calculator. Notice the difference is calculated as: Unscented - Scented. If the scent helps subjects complete the maze faster, should the difference be positive or negative? 2) Calculate the mean and standard deviation of the difference. Mean difference Standard Deviation 3) Hypotheses: We want to test for evidence that the subjects were able to complete the maze faster with the scented masks at a=0.05. What is the parameter of interest? Lud represents the mean... Write the null and alternative hypotheses: State the alpha level: 4) Model: Write the model and verify the conditions: Model: Independence: Nearly Normal Sampling Distribution: 5) Mechanics: Calculate the degrees of freedom, the test statistic and p-value. degree of freedom: Test Statistic: (show the formula) P-value from Table: P-value from Calculator: 6) Conclusion: At alpha =0.05 signicance level, did the scented masks allow the subjects to complete the maze faster? Write the conclusion in context