8.112 Ice Hockey The ability to accelerate rapidly is an important attribute for an ice hockey player. G. Wayne Marino investigated some of the variables related to the acceleration and speed of a hockey player from a stopped position.26 Sixty-nine hockey players, varsity and intramural, were included in the experi- ment. Each player was required to move as rapidly as possible from a stopped position to cover a distance of 6 metres (m). The means and standard deviations of some of the variables recorded for each of the 69 skat- ers 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 (e.g., mean time to skate the 6 m distance).

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

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Mean SD Weight (kilograms) Stride length (metres) Stride rate (strides/second) Average acceleration (metres/second) Instantaneous velocity (metres/second) Time to skate (seconds) 75.270 9.470 1.110 0.205 3.310 0.390 2.962 0.529 5.753 0.892 1.953 0.131