A certain railway company claims that its trains run late 5minutes on the average. The actual times (minutes) that 10 randomlyselected trains ran late were provided giving a sample mean = 9.130and sample standard deviation s = 1.4 . In testing the company’sclaim, (2-sided test) at the significance level of 0.01 andassuming normality Find a 99% confidence interval and state whichof the following is true about trains belonging to this railwaycompany?
A. We conclude that the trains run late an average of 9.13minutes.
B. The correct answer is not among the choices.
C. We would reject the claim that the trains run late an averageof 5 minutes and conclude that they run late an average of morethan 5 minutes since the 99% confidence interval exceeds 5.
D. We do not have enough evidence to reject the claim that thetrains run late an average of 5 minutes since the value of 5 isincluded in the 99% confidence interval.
E. We would reject the claim that the trains run late an averageof 5 minutes and conclude that they run late an average of lessthan 5 minutes since 5 exceeds the entire 99% confidenceinterval.
