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

question 12

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.

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Definitions:

Proportion

A mathematical ratio that shows the relative sizes of two or more values.

Body Image

An individual's perception and feelings about their own body and physical appearance.

Mental Picture

Visual image or representation formed in the mind that reflects what is perceived or thought by an individual.

Attractiveness

Refers to the quality of being visually pleasing or appealing to the senses.