tes O Ask Your T Sheila\'s doctor is concerned that she may suffer from gestatio
ID: 124761 • Letter: T
Question
tes O Ask Your T Sheila'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 cdassified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Sheila's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with 126 mg/dl and = 10 mg/dl. (a) If a single glucose measurement is made, what is the probability that Sheila is diagnosed as having gestational diabetes? Round your answer to four decimal places.) 0.9192 x (b) If measurements are made instead on 3 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Sheila is diagnosed as having gestational diabetes? (Round your answer to four decimal places.) 6.996 x Ask Your Teacher ing a The Round your correct answers 3:56 AMExplanation / Answer
Given,
If the glucose level is above 140mg/dl in one hour after the sugar drink is ingested. Sheila’s measured glucose level one hour after ingesting the sugar drink varies according to the n ormal distribution with
Mean (µ) =126mg/dl
Standard deviation () =10mg/dl
If the single glucose measurement is made, the probability that Sheila is diagnosed as having gestational diabetes is,
=P(X<140)
=P(X-µ<140-126)
=P(x-µ/ <140-126/10)
Since x-µ/ =Z and 140-126/10=1.4
=P(X<140)
= P (Z<1.4)
By using standard normal table,
= P (Z<1.4) = 0.9192.
So, it concludes that 0.9192 times the probability of Sheila is diagnosed with gestational diabetes. Correct answer is (a)
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