(1.1 Data A large clothes retailer is planning to give outsource its logistics operations to a third party. It has invited bids from three third- party logistics providers and given each of them a test run in Pune, Maharashtra, to assess their delivery performance. The delivery times are classied as being "before time , on time", and "late". Test results from the sample logistics deliveries, which criss- crossed the Pune municipal area, are shown below. Logistics provider B Total Before time 11 18 25 54 2' Late 19 13 9 41 E a On time 120 119 118 35? 3 'E Total 150 150 152 452 Using the data above, conduct a hypothesis test to determine if the distribution of delivery times is the same for the three logistics providers. Remember that a table with r rows and c columns results in a chi-square test statistic with [r 1][c 1] degrees of freedom. [a] What is your test statistic? [b] What is the corresponding p-value? [c] Using a .05 level of signicance what is the conclusion of your hypothesis test? _q,2 Data The Comfortsleep Mattress Company has commissioned a survey to determine whether hours of sleep per night are independent of age. The results of the survey will help Comfortsleep in designing its new age-targeted marketing strategy. A sample of individuals was asked to indicate the number of hours of sleep per night with the following categorical options: