A High School Coach Uses a New Technique in Training $\mu _ { B } - \mu _ { A }$

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 meters before and after this training.A 95% confidence interval for the difference of the means before and after the training, $\mu _ { B } - \mu _ { A }$ was determined to be (2.6, 4.3) .

A) We are 95% confident that a randomly selected middle distance runner at this high school will have a time for the 800-meter run that is between 2.6 and 4.3 seconds shorter after
The training than before the training.
B) We know that 95% of the middle distance runners shortened their times between 2.6 and 4.3 seconds after the training.
C) Based on this sample, with 95% confidence, the average time for the 800-meter run for middle distance runners at this high school is between 2.6 and 4.3 seconds longer after
The new training.
D) Based on this sample, with 95% confidence, the average time for the 800-meter run for middle distance runners at this high school is between 2.6 and 4.3 seconds shorter after
The new training.
E) We know that 95% 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 2.6 and 4.3 seconds.