Two ride-sharing companies, A and B, provide service for a certain city. A random sample of 52 trips made by Company A and a random sample of 52 trips made by Company B were selected, and the number of miles traveled for each trip was recorded. The difference between the sample means for the two companies (A−B) was used to construct the 95 percent confidence interval (1.86,2.15).

Which of the following is a correct interpretation of the interval?

We are 95 percent confident that the difference in sample means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.

A

We are 95 percent confident that the difference in population means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.

B

The probability is 0.95 that the difference in sample means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.

C

The probability is 0.95 that the difference in population means for miles traveled by the two companies is between 1.86 miles and 2.15 miles.

D

About 95 percent of the differences in miles traveled by the two companies are between 1.86 miles and 2.15 miles.

E

A differential in sample averages of miles traveled more by two companies is between 1.86 and 2.15 miles, as per our 95 percent confidence level.

Confidence level:

To begin with, a confidence interval is a tool for forecasting or estimating a population proportion rather than a sample statistic.
The confidence interval is calculated using sample statistics.
Moreover, its confidence level denotes how confident one can be about the confidence level, as the name implies.

Therefore, the final answer is "Option A".

Find out more about the confidence interval here:

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