Question 1046432: Suppose that data for 57 randomly selected female high school athletes was collected on the maximum number of pounds they were able to bench press. The data are roughly bell shaped, with
x overbar equals x=74.2
and
s=13.9.
Use the empirical rule to describe the distribution.
Use the empirical rule to describe the distribution.
Approximately&; 68% of the observations fall within the interval?
Approximately&; 95% of the observations fall within the interval?
all or nearly of the observations fall within the interval?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The mean is 74.2 and the sd is 13.9
Approximately 68% of observations are within 1 sd of the mean
Therefore, (60.3, 88.1) are the limits for observations within 1 sd of the mean.
Approximately 95% of the observations are within 2 sd s of the mean
Therefore, (46.4, 102.0) are within 2 sd s of the mean.
All the observations are in an infinite interval. but for the purposes of this question, nearly all (99.7%) are within 3 sd s of the mean
Therefore, (32.5, 115.9) are within 3 sd s of the mean.
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