Another method of identifying an outlier is to investigate whether there is evidence that a value might have come from a population with a mean different from the mean of the population of the other values. Let X and Y represent random variables. X is distributed normally with mean μ, and standard deviation σ, and Y is distributed normally with mean H, and standard deviation σ. Consider 1 randomly selected value of Y and n-1 randomly selected values of X. (b) Consider the difference Y - X. (i) In terms of y and x, what is the mean of the difference Y-X? (ii) In terms of n and σ, what is the standard deviation of the difference Y-X?
Another method of identifying an outlier is to investigate whether there is evidence that a value might have come from a population with a mean different from the mean of the population of the other values. Let X and Y represent random variables. X is distributed normally with mean μ, and standard deviation σ, and Y is distributed normally with mean H, and standard deviation σ. Consider 1 randomly selected value of Y and n-1 randomly selected values of X. (b) Consider the difference Y - X. (i) In terms of y and x, what is the mean of the difference Y-X? (ii) In terms of n and σ, what is the standard deviation of the difference Y-X?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 6CR
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![Another method of identifying an outlier is to investigate whether there is evidence that a value might have come
from a population with a mean different from the mean of the population of the other values.
Let X and Y represent random variables. X is distributed normally with mean μ, and standard deviation σ,
and Y is distributed normally with mean H, and standard deviation σ. Consider 1 randomly selected value of Y
and n-1 randomly selected values of X.
(b) Consider the difference Y - X.
(i) In terms of y and x, what is the mean of the difference Y-X?
(ii) In terms of n and σ, what is the standard deviation of the difference Y-X?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe68930b7-6552-46b3-ab6f-1ff15a13eb9f%2F08f20d83-97fc-4aeb-a381-1953d9d56c16%2Fki4teij_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Another method of identifying an outlier is to investigate whether there is evidence that a value might have come
from a population with a mean different from the mean of the population of the other values.
Let X and Y represent random variables. X is distributed normally with mean μ, and standard deviation σ,
and Y is distributed normally with mean H, and standard deviation σ. Consider 1 randomly selected value of Y
and n-1 randomly selected values of X.
(b) Consider the difference Y - X.
(i) In terms of y and x, what is the mean of the difference Y-X?
(ii) In terms of n and σ, what is the standard deviation of the difference Y-X?
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