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Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during...

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Basic Math

Sheila's doctor is concerned that she may suffer fromgestational diabetes (high blood glucose levels during pregnancy).There is variation both in the actual glucose level and in theblood test that measures the level. A patient is classified ashaving gestational diabetes if her glucose level is above 130milligrams per deciliter (mg/dl) one hour after a sugary drink.Sheila's measured glucose level one hour after the sugary drinkvaries according to the Normal distribution with ? = 115 mg/dl and? = 12 mg/dl.

Let X = Sheila's measured glucose level one hour after a sugarydrink

(a) P(X > 130) =

Suppose measurements are made on 3 separate days and the meanresult is compared with the criterion 130 mg/dl. (b) P(X > 130)=

(c) What sample mean blood glucose level is higher than 95% ofall other sample mean blood glucose levels? Hint: this requires abackward Normal calculation. (Use 2 decimal places)

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