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Let (X, S, µ) be a measure space and (S, 1·1) a separable Banach space. A function f from X into S will be called simple if it takes only finitely many values, each on a set in S. Let g be any measurable function from X into S such that ( 1g1 dµ<>∞. Show that there exist simple functions fn with ( 1 fn - g1 dµ → 0 as n → ∞. If f is simple with f (x ) = ),1≤i ≤ n 1A(i )(x )si for si ∈ S and A(i ) ∈ S, let ( f dµ = ),1 ≤ i ≤ n µ( A(i ))si ∈ S. Show that ( f dµ is well-defined and if ( 1 fn - g1 dµ → 0, then ( fn dµ converge to an element of S depending only on g, which will be called ( g dµ (Bochner integral).
Test hypothesis that Site B is more successful in initiating acquaintances than Site A. Use alpha = .05.
two independent samples require a dichotomous outcomes variablea. trueb.
a group of statistics students decided to conduct a survey at their university to find the average mean amount of time
Workers at a large toxic clean up project are concerned that their white blood cell counts may have been reduced. Let x be a random variable that represents white blood cell count per cubic millimeter of whole blood in a healthy adult.
1. approximately 22 of 1000 fish in a pond are infected with a skin disease. a random sample of 20 fish is selected.
A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:
a branch of a chain of large electronics stores is constructing an end of month inventory of the merchandise in stock.
the table summarizes data on smoking status and perceived risk of smoking and is consistent with summary quantities
Independent random samples of 12 users of the other system rate their system on the same scale. Based on these data, are the two telecommunication system equally liked? Explain.
Find the best point estimate of the mean salary of all NCAA football coaches.
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary.
Wentworth Medical Center text
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