Manufacturers of tires report that car tires should be able to last an average of 50,000 miles. A new tire company produces a different type of tread and tests 100 randomly selected tires. This sample of 100 tires lasted an average of 51,500 miles. Assuming the new type of tread does not improve the mileage of the tire, 200 sample means were simulated and displayed on the dotplot. Simulated Tire Mileage +++ 47,000 48,000 49,000 50,000 51,000 52,000 53,000 Mean mileage Using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the mileage of the tire? Yes, because a mean mileage of 51,500 or more occurred only 14 out of 200 times, the mean mileage is statistically significant. There is convincing evidence the new type of tire tread improves mileage of the tire. Yes, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is statistically significant. There is convincing evidence the new type of tire tread improves mileage of the tire. No, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire. O No, because a mean mileage of 51,500 or more occurred 14 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.
Manufacturers of tires report that car tires should be able to last an average of 50,000 miles. A new tire company produces a different type of tread and tests 100 randomly selected tires. This sample of 100 tires lasted an average of 51,500 miles. Assuming the new type of tread does not improve the mileage of the tire, 200 sample means were simulated and displayed on the dotplot. Simulated Tire Mileage +++ 47,000 48,000 49,000 50,000 51,000 52,000 53,000 Mean mileage Using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the mileage of the tire? Yes, because a mean mileage of 51,500 or more occurred only 14 out of 200 times, the mean mileage is statistically significant. There is convincing evidence the new type of tire tread improves mileage of the tire. Yes, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is statistically significant. There is convincing evidence the new type of tire tread improves mileage of the tire. No, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire. O No, because a mean mileage of 51,500 or more occurred 14 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:Manufacturers of tires report that car tires should be able to last an average of 50,000 miles. A new tire company produces a
different type of tread and tests 100 randomly selected tires. This sample of 100 tires lasted an average of 51,500 miles.
Assuming the new type of tread does not improve the mileage of the tire, 200 sample means were simulated and displayed
on the dotplot.
Simulated Tire Mileage
+++ +++H
47,000
48,000
49,000
50,000
51,000
52,000
53,000
Mean mileage
Using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the
mileage of the tire?
Yes, because a mean mileage of 51,500 or more occurred only 14 out of 200 times, the mean mileage is statistically
significant. There is convincing evidence the new type of tire tread improves mileage of the tire.
Yes, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is statistically
significant. There is convincing evidence the new type of tire tread improves mileage of the tire.
O No, because a mean mileage of 51,500 or less occurred 186 out of 200 times, the mean mileage is not statistically
significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.
O No, because a mean mileage of 51,500 or more occurred 14 out of 200 times, the mean mileage is not statistically
significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.
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