A High School Coach Uses a New Technique in Training $( 2.5,4.7 )$

Multiple Choice

A high school coach uses a new technique in training middle distance runners.He records the times for 4 different athletes to run 800 metres before and after this training.A 98% confidence interval for the difference of the means before and after the training,μB - μA,was determined to be $( 2.5,4.7 )$

A) We know that 98% of the middle distance runners shortened their times between 2.5 and 4.7 seconds after the training.
B) We know that 98% of all random samples done on runners at this high school will show that the mean time difference before and after the training is between 2.5 and 4.7 seconds.
C) Based on this sample,with 98% confidence,the average time for the 800-metre run for middle distance runners at this high school is between 2.5 and 4.7 seconds longer after the new training.
D) We are 98% confident that a randomly selected middle distance runner at this high school will have a time for the 800-metre run that is between 2.5 and 4.7 seconds shorter after the training than before the training.
E) Based on this sample,with 98% confidence,the average time for the 800-metre run for middle distance runners at this high school is between 2.5 and 4.7 seconds shorter after the new training.