This Question: 1 pt 16 of 21 (3 complete)I This Test: 21 pts poss Refer to the a

Question

This Question: 1 pt 16 of 21 (3 complete)I This Test: 21 pts poss Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. The results in the screen display are based on a 95% confidence level. Write a statement that correctly interprets the confidence interval. TInterval (13 046.22.15) x-17.598 Sx 16.01712719 n 50 Choose the correct answer below A. The limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airports. B. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the sample mean of the data speeds at the airports. c. We have 95% confidence that the limits of 13.05 Mbps and 22.15 Mbps contain the true value of the mean of the population of all data speeds at the airpor D. The limits of 13 05 Mbps and 22.15 Mbps contain 95% of all of the data speeds at the airports.

Explanation / Answer

The interpretation of the confidence interval is that there is a 0.95 probability that the true population mean lies in the given confidence interval. It is not for sample mean, therefore b) is false. a) is also incorrect as we cannot be sure about the population mean lying in that interval, we could only be 95% confident.

Therefore C is the correct answer here.

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