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1. For a finite measure space (X, S, µ), suppose there are points xi and numbers ti > 0 such that for any A ∈ S, µ( A) = ),{ti : xi ∈ A}. (Then µ is purely atomic, as defined in §3.5.) Suppose that the singleton {x }∈ S for each x ∈ X . Show that every set in S is regular.
2. Let µ be a finite Borel measure on a separable metric space S. As- sume µ({x }) = 0 for all x ∈ S. Prove that there is a set A of first cat- egory (a countable union of nowhere dense sets; see Theorem 2.5.2) with µ(S\ A) = 0.
Briefly describe co relational research. Name a variable from this study and one from the workplace that might prove to provide a co relational relationship
When creating a 99% confidence interval for the true average difference in cholesterol levels by the drug, what is the margin of error?
You are asked to test the CFO's claim by examining monthly profits from the sample mega stores using the Z-test. State the decision rule using α = 0.05 significance level?
Use Wilcoxon rank-sum test to test at the .10 level of significance to test the claim that the difference in dosage have significant effect on the length of time it takes guinea pigs to fall asleep.
1 personal best finishing times for a particular race in high school track meets are normally distributed with mean
Given this Analysis of Variance information for three treatments each with six observations.with SST =1116, SSE=1068, SSTotal =2184. What is the mean square for treatments?
An investment project is expected to earn $100,000 on average with a standard deviation of $50,000. Assume earnings from this investment project is a normal distribution. Of the next 15 people that invest in this project, what is the probability t..
What is the probability that a dog owner will spend more than $130 on medical care in a given year? What is the prbability that a cat owner will spend $160 or more on medical care in a given year?
a technician monitoring a group of five computers in an automated manufacturing facility. it takes an average of 15
the yearly tuition costs x in hundreds of dollars for six state universities are given in the table below. for each
Find out the following Standard deviation of the swipe rate, What percentage of subway riders should re-swipe the card as they were outside acceptable range?
Suppose that a random sample of fifteen recently sold houses in a certain city has a mean sales price of $290000 , with a standard deviation of $15,000.
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