The ability to accelerate rapidly is an important attribute for an ice hockey pl

Question

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. Each player was required to move as rapidly as possible from a stopped position to cover a distance of 6 meters. The mean and standard deviation of the speeds of the sample of sixty-nine hockey players at the end of the 6 meter distance were 5.753 and 0.892 eters per second, respectively.

a. Find a 95% confidence interval for this population mean. Interpret the interval.

b. Suppose you wanteed to repeat the experiment and you wanted to estimate this average velocity corrct to within 0.1 second, with probability 0.99. How many hockey players would have to be included in your sample?

Explanation / Answer

here std error =std deviaiton/(n)1/2 =0.115

for 95% CI, z=1.96

hence confidence interval =mean +/- z*std error =5.527 ; 5.979

for above interval provide 95% probability to contain ttrue mean of spped.

b) here margin of error E=0.1

fro 0.99 probability z=2.5758

hence sample size =(Z*std deviation/E)2 =~528

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