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Question: Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 99.9% of people with the disease test positive and only 0.02% who do not have the disease test positive.
a) What is the probability that someone who tests positive has the genetic disease?
b) What is the probability that someone who tests negative does not have the disease?
Information on a packet of seeds claims that the germination rate is 92%, only 171 of 200 test seeds sprout. Is this evidence that the seeds have lost viability during a year in storage?
Assume the first patient is assigned treatment A, and whenever there is a tie in marginal discrepancy, the next patient is assigned treatment A. Use w0 = 2 and w1 = 1. Show all you work.
A researcher decides to test her hypothesis that some toys are more fun to play with than others, so she decides to compare fun toys or blocks with “un-fun” toys or stuffed animals
He reviews the last eight months at dealership B and finds the standard deviation of the eight monthly sales to be 22.95. Using the .01 significance level does the analyst find evidence that the boast of dealership A is correct?
Let X1, ... , Xn be i.i.d. r.v.'s with (?nite) unknown mean m and (?nite) known variance s 2, and suppose thatn is large. i) Use the CLT to construct a con?dence interval for m with approximate con?dence coef?cient 1 - a;
An urn contains θ black balls and N - θ white balls. A sample of n balls is to be selected without replacement. Let Y denote the number of black balls in the sample. Show that (N/n)Y is the method-of-moments estimator of θ.
a researcher reports the following equation for a best-fitting straight line to a set of data points ycirc?1.01x3.24.
suppose heights of adults measured in inches are normally distributed with mean 70 inches and standard deviation 10
you are considering starting a walk-in clinic. your financial projections for the first year of operations are as
what is the relationship between the confidence level and type i
Is there evidence that ALS is more common among athletes?- What kind of study is this? How does that affect the inference you made in part a?
Suppose the average value of P is $ 3 and average value of Po is $ 6. Determine the price elasticity at average values of P and Po?
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