Shelia’s doctor is concerned that she may suffer from gestational diabetes (high

Question

Shelia’s doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if her glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink. Shelia’s measured glucose level one hour after the sugary drink varies according to the Normal distribution with = 125 mg/dl and = 10 mg/dl.

Explanation / Answer

Mean = 125

Sd = 10

N = 4

Standard deviation of sample mean = sd/sqrt (n) = 10 / sqrt (4) = 5

P(X bar > L) = 0.05

Or, P(Z > (L - 125)/5) = 0.05

Or, 1 - P(Z < (L - 125)/5) = 0.05

Or, P(Z < (L - 125)/5) = 0.05

Or, (L - 125)/5 = - 1.65

Or, L = 125 - 1.65 * 5

Or, L = 116.75

Or, L = 116.8

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