No Stick Glucose Testing
Help with statistics homework/Central Limit Theorem?
I’m stuck on a particular problem and was wondering if anybody could help me out…
1. Let “x” be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, “x” has a distribution that is approximately normal with mean = 85 and estimated standard deviation = 25. A test result “x” < 40 is an indication of severe excess insulin, and medication is usually prescribed.
a. What is the probability that, on a single test, "x" < 40?
b. Suppose a doctor uses the average x-bar for two tests taken about a week apart. What can we say about the probability distribution of x-bar? What is the prob. that "X" < 40?
c. Repeat part b for n=3 tests taken a week apart.
d. Repeat part b for n = 5 tests taken a week apart.
I'd really appreciate it if you could help out. I've asked all my other classmates and searched the web but had no luck.
for part a, first figure out the z-value: (40-85)/25=-1.8 look the corresponding probablility up for this value in a z table.
b. The mean would stay the same but the standard deviation would be 25/sqrt(2)=17.67
c. new standard deviation= 25/sqrt(3)
d. new standard deviation = 25/sqrt(5)
For c and d you just compute the z-value based on the mean of 85 and the new standard deviation.
MS Dhoni & old woman
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