Shelia\'s doctor is concerned that she may suffer from gestational diabetes (hig

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 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 ? = 122 mg/dl and ? = 12 mg/dl. 12. 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. 13. If measurements are made on 5 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.

Explanation / Answer

2 years ago Report Abuse cguy Best Answer - Chosen by Asker find the z-value (A) z = (x - µ) / s x = 140 µ = 125 s = 10 z = (140 - 125) / 10 = 1.5 use the z-score index to determine the probability value at this z-score This will give the cumulative probability for which measurement is equal to or less than 140mg/dl P(z = 1.5) = P(x = 140) = 0.933193 P(x > 140) = 1 - P(x = 140) = 1 - 0.933193 = 0.066807 ˜ 6.7% (B) z = (x - µ) / s but s = s / vn x = 140 µ = 125 s = 10 n = 4 s = s / vn = 10 / v4 = 5 z = (140 - 125) / 5 = 3.0 use the z-score index to determine the probability value at this z-score This will give the cumulative probability for which measurement is equal to or less than 140mg/dl. P(z = 3) = P(x = 140) = 0.99865 P(x > 140) = 1 - P(x = 140) = 1 - 0.99865 = 0.00135

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