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Times (in seconds) for the 100 freestyle and 100 backstroke were recorded for three top swimmers...

Times (in seconds) for the 100 freestyle and 100 backstroke were recorded for three top swimmers on a university swim team: 46.15 and 50.05; 46.52 and 50.42; 46.82 and 52.85.

(a) Assuming these to be representative samples of all top swimmers' times for the two events, use software to produce a 95% confidence interval for the mean of the time differences, freestyle minus backstroke, for the two events. (Round your answers to two decimal places.)
(  ,  )
(b) What can we report about the interval?

It contains only positive numbers.

It contains zero.     

It contains only negative numbers.


(c) What does your answer to part (b) suggest?

Top swimmers in general tend to be faster in backstroke.

Top swimmers in general tend to be faster in freestyle.     

There is no significant difference in speed between freestyle and backstroke.

Math   Statistics-And-Probability   
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