b. Suppose of = 2, o% = 2.5, and m = n. Find the sample size n so that X - Ý will be within one unit of µ1 – µ2 with probability 0.95.
b. Suppose of = 2, o% = 2.5, and m = n. Find the sample size n so that X - Ý will be within one unit of µ1 – µ2 with probability 0.95.
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.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...
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ONLY PART 2
![EXERCISE 5
Suppose that X1,·, Xm and Y1, ., Yn are two samples, with X; -
between the sample means, X – Ý, is then a linear combination of m +n normal random variables. All the random
variables are independent. Answer the following questions:
Ν(μ1, σι) and Y
N(u2, 02). The difference
a. Use moment generating functions to show that X
variance of this distribution.
Y follows a normal distribution. Find the mean and
-
b. Suppose o = 2, o% = 2.5, and m = n. Find the sample size n so that X - Ý will be within one unit of µi
with probability 0.95.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6df0d7cf-37bf-48ea-ad68-5140fb9f55b5%2F99b9ae1d-0cdf-4c40-afa3-e4f8a7cd1acd%2Fzycckt4_processed.png&w=3840&q=75)
Transcribed Image Text:EXERCISE 5
Suppose that X1,·, Xm and Y1, ., Yn are two samples, with X; -
between the sample means, X – Ý, is then a linear combination of m +n normal random variables. All the random
variables are independent. Answer the following questions:
Ν(μ1, σι) and Y
N(u2, 02). The difference
a. Use moment generating functions to show that X
variance of this distribution.
Y follows a normal distribution. Find the mean and
-
b. Suppose o = 2, o% = 2.5, and m = n. Find the sample size n so that X - Ý will be within one unit of µi
with probability 0.95.
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