A: Assumptions Since quantitative information was collected from each object, we need to check the following conditions: Check all that apply. Ox) > 10 and :2 2 10 On - 1 2 10 and n2 - 12 2 10 O M 2 20n] and N2 2 20n2 O The samples are independent The samples are dependent O Normal population of differences or at least 30 pairs of data Normal populations or n1 2 30 and n2 2 30 No outliers in the differences O No outliers for each group O o is unknown for each group Do is known for each group Check those assumptions: 1. There were w/two measurements taken on the same object, so these samples are independent 2. Is the value of o unknown for each group? |Now 3. Are there any outliers in the differences? Yes, the normal probability plot shows outliers 4. n = which is ? w Is it reasonable to assume the population is normally distributed? No, since the normal probability plot of the differences is not roughly bell-shaped. yThe British Department of Transportation studied to see if people avoid driving on Friday the 13th. They did a traffic count (in cars) on a Friday 6th and then again on a Friday the 13th at the same location. The data for a random sample of locations on the two different dates are in the table below. Do the data show that on average fewer people drive on Friday the 13th? a) Test at the 2% level. b) Compute a 96% confidence interval for the difference. Traffic counts at locations on Friday the 6th Traffic counts at locations on Friday the 13th (in cars) (in cars) 121139 118723 139246 138548 133732 131843 124631 120249 124609 122770 117584 117263 123552 121641 128293 123532