(19.19) 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 the 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 µ = 122 mg/dl and o = 12 mg/dl.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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2. (19.19) 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 the 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 u
and o = 12 mg/dl.
122 mg/dl
eBook
Step 1:
If a single glucose measurement is made, what is the probability that Shelia is diagnosed as having gestational diabetes? Give your answer to 4 decimal places.
0.0668
Step 2:
If measurements are made on 4 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having
gestational diabetes? Give your answer to 4 decimal places.
Step 3:
If measurements are made on 2 separate days and the mean result is compared with the criterion 140 mg/dlI, what is the probability that Shelia is diagnosed as having
gestational diabetes? Give your answer to 4 decimal places (or less if not needed).
Step 4:
If measurements are made on 3 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having
gestational diabetes? Give your answer to 4 decimal places.
Transcribed Image Text:2. (19.19) 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 the 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 u and o = 12 mg/dl. 122 mg/dl eBook Step 1: If a single glucose measurement is made, what is the probability that Shelia is diagnosed as having gestational diabetes? Give your answer to 4 decimal places. 0.0668 Step 2: If measurements are made on 4 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes? Give your answer to 4 decimal places. Step 3: If measurements are made on 2 separate days and the mean result is compared with the criterion 140 mg/dlI, what is the probability that Shelia is diagnosed as having gestational diabetes? Give your answer to 4 decimal places (or less if not needed). Step 4: If measurements are made on 3 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational diabetes? Give your answer to 4 decimal places.
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