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Each of the following expressions defines a function D on the set of matrices over the field of real numbers. In which of these cases is D a 3-linear function? Justify your conclusions.
a) D(A) = A11 + A22 + A33
b) D(A) = A11 A22 A33
Recall: Let K be a commutative ring with identity, n a positive integer, and let D be a function which assigns to each matrix A over K a scalar in K. We say that D is n-linear if for each , D is a linear function of the ith row when the other (n-1) rows are held fixed.
In a sample of 4 items, what is the probability that exactly 3 are acceptable? Assume the samples are drawn without replacement. (Round your answer to 4 decimal places.)
the probability of two or more events occurring concurrently is called aa conditional probability.b empirical
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hen investigating a relationship between birth weight and IQ, researchers found that 258 subjects with extremely low birth weights (less than 1000 g) had Wechsler IQ scores at age 8 with a mean of 95.5 and a standard deviation of 16.0.
what is the value of sp for the following set of data? explain answer and show work please.x y1 53 38
Identify the null hypothesis and alternative hypotheses (you will need to write the null in your own words as this is not provided in most research reports)
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1.a study was conducted to explore the relation between alcohol consumption and hypertension. 7400 nurses were surveyed
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if the same mean is 11 the hypothesized population mean 10 and the population standard deviation is 4 compute the test
Find the 95% confidence interval of the mean number of ER patients treated each day in the hospital if the standard deviation is 8 instead of 4.
What is the Nature of Variables Used by Researches
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