The standard recommendation for automobile oil changes is once every 3000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 43 customers who drive luxury cars and 41 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 3189 miles for the luxury car owners and 3209 miles for the compact lower-price cars. The sample standard deviations were 42.20 and 50.90 miles for the luxury and compact groups, respectively. Assume that the population distributions of the distances between oil changes have the same standard deviation for the two populations. It can be shown that Sx -, = 10.18210743 miles. Using the 1% significance level, can you conclude that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars? No ok and Media YesA factory that emits airborne pollutants is testing two different brands of filters for its smokestacks. The factory has two smokestacks. One brand of filter (Filter I) is placed on one smokestack, and the other brand (Filter II) is placed on the second smokestack. Random samples of air released from the smokestacks are taken at different times throughout the day. Pollutant concentrations are measured from both stacks at the same time. The following data represent the pollutant concentrations (in parts per million) for samples taken at normally distributed. 20 different times after passing through the filters. Assume that the differences in concentration levels at all times are approximately Time Filter I Filter II Time Filter I Filter II 22 24 11 11 9 2 32 31 12 8 10 3 36 34 13 14 17 4 32 28 14 17 16 25 23 15 19 16 6 25 28 16 19 18 7 29 24 17 25 27 8 30 33 18 20 22 9 26 22 19 23 27 10 18 18 20 32 31 It can be shown that d = 0.25 and sa = 0.60643479 ppm. Using the 5% significance level, can you conclude that the average paired difference for concentration levels is different from zero? The average paired difference different from zero