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Public Policy and Political Science During freshmen move-in day at the University of Michigan, the College Republicans staffed an information table in order to solicit new members. A sample of consecutive new members was obtained, and each was classified by sex (M or F). The ordered observations are given in the following table.
Use the runs test with a ≈ 0.05 to determine whether there is any evidence to suggest that the order of observations is not random with respect to sex.
Find the probability there will be no more than a dozen cider apples.- Is it likely there will be more than 50 cider apples? Explain.
Consider babies born in the "normal" range of 37 - 43 weeks gestational age. Extensive data supports the assumption that for such babies born in the United States, birth weight is normally distributed with mean = 3432 grams and standard deviati..
(Duality Gap of the Knapsack Problem) Given objects i = 1,...,n with positive weights wi and values vi, we want to assemble a subset of the objects so that the sum of the weights of the subset does not exceed a given T > 0, and the sum of the valu..
Suppose that each light bulb works independently of the other light bulbs. What is the probability that all eight of the light bulbs work?
A random sample of 15 snow mobiles was selected, and the lifetime (in months) of the batteries was measured. The variance of the sample was 8.6. Find the 90% confidence interval of the true variance and standard deviation.
Calculate the effect size for an independent-samples t test, based on the following information:
a slender bar length l of mass m is pushed longitudinally off a table with speed vo . determine the angular
The n =10 patients had a mean decrease in IOP of = 15.2 mm Hg with a standard deviation of the 10 IOPs equal to s = 9.8 mm Hg after 15 weeks of using the drug. Determine the appropriate sample size for an a α = .01 test to have at most a .10 pr..
A researcher reports a p-value of .001 with the ANOVA F test. Describe what conclusions are reasonable based on this result.- Summarize the reasons you might fail to reject with the ANOVA F test.
An example of Simpson's paradox. Mountain View University has professional schools in business and law. Here is a three-way table of applicants.
the us senate committee consists of 8 members. 5 members are democrates and 3 are republicans. a subcommittee of size 4
Find the probability for each of the simple events in the sample space. (Hint: A tree diagram may help you solve this.)- Find the probability distribution function for X.
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