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1. Prove, without applying Theorem 1.5.1, that the well-ordering principle implies AC. Caution: Is it clear that the possibly very large family of sets A(x ) can all be well-ordered simultaneously, so that there is a function f on I such that for each x ∈ I, f (x ) is a well-ordering of A(x )? Hint: Use AC,.
2. Prove it is equivalent to AC that in every partially ordered set, every chain is included in a maximal chain.
The average amount of insulation in the sample of household is 12 inches. The sample standard deviation is 15 inches. Set up and interpret a 95% confidence interval.
Estimated the probability that among 75 randomly selected students, at least 20 of them score greater than 78.
Determine that your peer's response reveals errors in thinking or understanding the readings or concepts. Discuss these by pointing to the correct information in the literature
Let market demand be given by the inverse demand curve P(Q) = 50 - 2Q, where Q = q1 + q2. The cost function for each of the two firms in the industry is C(qi ) = 2qi . Firms are Cournot competitors. Define the best-response function of a firm...
In all, 53 say "good." Does the poll give reason to conclude that more than half of all seniors think their job prospects are good? The hypotheses for a test to answer this question are?
Perform the five-step hypothesis test on the data. - LORA - this is the portion I am responsible for based on using the nonparametric hypothesis testing.
Formulate null and alternative hypothesis to test for no difference between the population mean credit card charges for groceries and the population mean card charges for dining out.
The times required to assemble a product are normally distributed with a mean of 47.5 minutes and a standard deviation equal to 8.5 minutes. What percent of the assembly workers require: (do not include % symbol)
two-way anova between subjects anova is preformed when you havea. related samples in all cellsb. more than two level in
mimi just started her tennis class three weeks ago. on average she is able to return 15 of her opponents serves. if
Using Excel or any Regression Program, please run the sold price as a function of Lot Sqt, BR, and Age - also bring the computer output of the Regression.
there are a lot of symbols so i am sorry if this is hard to read.qtheta hat qthetasuppose eq1eq2q. vq1sigma12
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