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1. On R2 let d((x, y), (u, v)) := ((x - u)2 + (y - v)2)1/2 (usual metric), e(x, y) := |x - u|+ |y - v|. Show that e is a metric and metrizes the same topology as d.
2. For any topological space (X, T ) and set A ⊂ X , the boundary of A is defined by ∂ A := A\int A. Show that the boundary of A is closed and is the same as the boundary of X \ A. Show that for any two sets A and B in X,∂( A ∪ B) ⊂ ∂ A ∪ ∂ B. Give an example where ∂( A ∪ B) /= ∂ A ∪ ∂ B.
Please share 3 real world examples of problems, which occurred due to the use of secondary data. Be specific about the consequences as well the secondary data used. You may use your own organization or research the net or literature for this one.
Discuss how to perform a test of hypothesis to determine whether the variances of two populations are equal. Include a discusssion of why the larger sample variance is placed in the numerator in the Test Statistic for comparing two variances.
a box contains n marbles each of which is labeled by engraving by one of the integers 1 2 . . . n. two of the marbles
you are conducting a study to see if students do better when they study all at once or in intervals. one group of 12
Analysis of variance (ANOVA) is used to determine if there is a difference between the means of different populations. This is an example from a student in Prescott Arizona.
Was there any difference in the nurses' preference in brand (α = 0.05)? Show all necessary components of a full hypothesis test, including a source table.
what hypothesis that you have recently heard is the most misunderstood? why is this misunderstanding to prevalent and
for the given binomial sample size and null-hypothesized value of p0 determine whether the sample size is large enough
Find the probability that out of our batch of 100, with the sampling technique listed above, that (i) both toothbrushes are defective, (ii) that one of the two is defective.
Fitting of simple linear regression equation - Given the student population for a school district over the past few years, find the prediction equation for this data.
refer to the following anova
statistical literacy and critical thinkingfor a statistics class project i used a convenience sample but the results
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