Sgt. Wellborn Fitte, the U.S. Army’s quartermaster at Fort Riley, Kansas, prides himself on being able to find a uniform to fit virtually any recruit. Currently, Sgt. Fitte is revising his stock requirements for fatigue caps. Based on experience, Sgt. Fitte has decided that hat size among recruits varies in such a way that it can be approximated by a normal distribution with a mean of 7. Recently, though, he has revised his estimate of the standard deviation from 0.75 to 0.875. Present stock policy is to have on hand hats in every size (increments of ⅛) from 6 ¼ to 7 ¾. Assuming that a recruit is fit if his or her hat size is within this range, find the probability that a recruit is fit using (a) The old estimate of the standard deviation. (b) The new estimate of the standard deviation
Sgt. Wellborn Fitte, the U.S. Army’s quartermaster at Fort Riley, Kansas, prides
himself on being able to find a uniform to fit virtually any recruit. Currently, Sgt.
Fitte is revising his stock requirements for fatigue caps. Based on experience, Sgt.
Fitte has decided that hat size among recruits varies in such a way that it can be
approximated by a
revised his estimate of the standard deviation from 0.75 to 0.875. Present stock policy
is to have on hand hats in every size (increments of ⅛) from 6 ¼ to 7 ¾.
Assuming that a recruit is fit if his or her hat size is within this range, find the
probability that a recruit is fit using
(a) The old estimate of the standard deviation.
(b) The new estimate of the standard deviation
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