14. Ice Hockey In an experiment related to “fast starts”—the acceleration and speed of a hockey player from a stopped position—sixty-nine hockey players, varsity and intramural, from the University of Illinois were required to move as rapidly as possible from a stopped position to cover a distance of 6 meters.24 The means and standard deviations of some of the variables recorded for each of the 69 skaters are shown in the table:

a. Give the formula that you would use to construct a 95% confidence interval for one of the population means (for example, mean time to skate the 6-meter distance).

b. Construct a 95% confidence interval for the mean time to skate. Interpret this interval.

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Mean SD Weight (kilograms) 75.270 9.470 Stride Length (meters) 1.110 .205 Stride Rate (strides/second) 3.310 .390 Average Acceleration (meters/second) 2.962 .529 Instantaneous Velocity (meters/second) 5.753 .892 Time to Skate (seconds) 1.953 .131