2. A consumer wished to compare the time it takes to have a pizza delivered by two different companies. In order to do t

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2 A Consumer Wished To Compare The Time It Takes To Have A Pizza Delivered By Two Different Companies In Order To Do T 1 (193.55 KiB) Viewed 20 times

2. A consumer wished to compare the time it takes to have a pizza delivered by two different companies. In order to do this they recorded the delivery time for 12 pizzas from Company A and 10 pizzas from Company B (delivery times in minutes given below). Company A Company B 42.7 47.1 48.9 32.7 40.3 38.8 46.5 39.0 47.2 35.8 53.2 40.3 49.3 35.9 44.2 29.7 51.4 39.2 43.4 43.5 48.7 39.4 Note: The sample standard deviation of delivery times for Company A is 4.32 minutes and for Company B is 5.03 minutes. (a) Is there evidence to suggest that Company A has a bigger mean delivery time than Company B (a = 0.05)? [10] (b) What assumptions did you make in performing the test conducted in part (a) above? [4] (c) Construct a 90% confidence interval for the difference in mean delivery times between Company A and Company B. [6]