using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread…

using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the mileage?\nyes, 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.\nyes, 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.\nno, 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.\nno, 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.

using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the mileage?\nyes, 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.\nyes, 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.\nno, 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.\nno, 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.

Answer

Answer:

A. 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.

Explanation:

Step1: Understand statistical significance

If a result (here, a high mean mileage) occurs rarely (7 out of 200 times is a small proportion, (p - value=\frac{7}{200}=0.035<0.05) if we assume a common significance level of 0.05), it is considered statistically significant.

Step2: Relate to the claim

Since a high mean mileage (52,000 or more) is rare (statistically significant), it provides evidence that the new tire - tread (which we assume is related to the high mean mileage) improves the tire's mileage. Options B and C focus on 52,000 or less which is not relevant to showing improvement. Option D misinterprets the rareness (7 out of 200) as not statistically significant (when in fact, low - frequency of a high value is significant for an improvement claim).