9. (1 point) Shelia\'s doctor is concerned that she may suf fer from gestational

Question

9. (1 point) Shelia's doctor is concerned that she may suf fer 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 classi- fied as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is in- gested. Shelia's measured glucose level one hour after ingest- ing the sugary drink varies according to the Normal distribution with mean 128 mg/dl and standard deviation 9 mg/d. Let L denote a patient's glucose level. (a) If measurements are made on four different days, find the level L such that there is probability only 0.03 that the mean glu cose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L? ANSWER (b) If the mean result from the four tests is compared to the criterion 140 mg/d, what is the probability that Shelia is diag- nosed ANSWER: as having gestational diabetes?

Explanation / Answer

a)

for top 0.03 probability at 97th percentile z score =1.8808

therefore corresponding level L =mean +z*Std deviation = 136.4636

b)

for normal distribution z score =(X-)/ here mean=       = 128.000 std deviation   == 9 sample size       =n= 4 std error=x=/n= 4.5000

Related Questions

Navigate

• Browse (All)
• Browse 9
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.