Question

Measurements were recorded for the slapshot speed of 100 minor-league hockey players. These measurements were found to be normally distributed with mean of 82.528 mph and standard deviation of 1.6373 mph. Would it be unusual to record a value above 83.39 mph

1)	The value is not unusual.

2)	It is impossible for this value to occur with this distribution of data.

3)	The value is unusual.

4)	The value is borderline unusual.

5)	We do not have enough information to determine if the value is unusual.

Answer 1

Given that the measurements of slapshot were found to be normally distributed with a mean of = 82.528 mph and a standard deviation of = 1.6373 mph.

Hence to find that the value 83.39 is usual or unusual we need to find the Z score at 83.39 as:

as we know that any value above the Z score 2 or below -2 is called unusual.

Hence the Z score is 5.265 > 2 hence

3) The value is unusual.