Manufacturers of tires report that 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 52,000 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.



Using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the mileage?

Yes, because a mean mileage of 52,000 or more occurred only 7 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 52,000 or less occurred 193 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 52,000 or less occurred 193 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.
No, because a mean mileage of 52,000 or more occurred 7 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.

Respuesta :

The convincing evidence is Yes, because a mean mileage of 52,000 or more occurred only 7 out of 200 times, the mean mileage is statistically significant.

What is a dot plot?

A dot plot is known to have the same characteristics as  a bar graph as both are made up of different height of “bar” that consist of dots which is said to be equal to the number of items in any of the stages or categories.

Conclusively, when a person  uses a dot plot and the sample mean mileage, one will be able to find a convincing evidence that the new type of tread improves the mileage because out of  mean mileage of 52,000 or more, only 7 out of 200 times,  took place and this shows that the mean mileage is statistically significant and that the new type of tire tread boast the mileage of the tire.

Therefore, option A is correct.

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