Question

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 overbarequals17.598 Sxequals16.01712719 nequals50 Choose the correct answer below. A. 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 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. 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. D. The limits of 13.05 Mbps and 22.15 Mbps contain​ 95% of all of the data speeds at the airports.

Answer 1

A is the correct answer

Explanation:

A confidence interval tells us within some level of certainty (in this case, we are 95% certain) that the true mean of the internet speed at the airport is somewhere in the range of 13.04mbps and 22.15mbps. We can't say where it is in that range, and we're only 95% confidence, so there's a 5% chance we are wrong and the mean is not in that range. It could be higher or lower.