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

question 34

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.

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