A variable of two populations has a mean of 30 and a standard deviation of 18 for one of the populations and a mean of 30 and a standard deviation of 32 for the other population. Complete parts (a) through (c). a. For independent samples of size 9 and 16, respectively, find the mean and standard deviation of X₁-X₂. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X₁ -X₂ is. (Type an integer or a decimal. Do not round.) The standard deviation of X₁-X₂ is (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. OA. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x₁-x₂ to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. B. No, the formulas for the mean and standard deviation of x₁-X2 hold regardless of the distributions of the variable on the two populations, as long as the sampling is done with replacement or that the population is large enough. OC. No, the variable must be approximately normally distributed on at least one of the two populations for the formulon for the moon and standard deviation of to hold as long as the compling is done with
A variable of two populations has a mean of 30 and a standard deviation of 18 for one of the populations and a mean of 30 and a standard deviation of 32 for the other population. Complete parts (a) through (c). a. For independent samples of size 9 and 16, respectively, find the mean and standard deviation of X₁-X₂. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X₁ -X₂ is. (Type an integer or a decimal. Do not round.) The standard deviation of X₁-X₂ is (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. OA. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x₁-x₂ to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. B. No, the formulas for the mean and standard deviation of x₁-X2 hold regardless of the distributions of the variable on the two populations, as long as the sampling is done with replacement or that the population is large enough. OC. No, the variable must be approximately normally distributed on at least one of the two populations for the formulon for the moon and standard deviation of to hold as long as the compling is done with
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A variable of two populations has a mean of 30 and a standard deviation of 18 for one of the populations and a mean
of 30 and a standard deviation of 32 for the other population. Complete parts (a) through (c).
a. For independent samples of size 9 and 16, respectively, find the mean and standard deviation of X₁ -X₂. (Assume
that the sampling is done with replacement or that the population is large enough.)
The mean of X₁ -X₂ is.
(Type an integer or a decimal. Do not round.)
The standard deviation of X₁-X₂ is
(Round to four decimal places as needed.)
b. Must the variable under consideration be normally distributed on each of the two populations for you to answer
part (a)? Choose the correct answer below.
OA. No, the variable does not need to be normally distributed for the formulas for the mean and standard
deviation of x₁-x₂ to hold as long as the sample sizes are large enough, as long as the sampling is done
with replacement.
B. No, the formulas for the mean and standard deviation of x₁-X2 hold regardless of the distributions of the
variable on the two populations, as long as the sampling is done with replacement or that the population is
large enough.
OC. No, the variable must be approximately normally distributed on at least one of the two populations for the
formulon for the moon and standard deviation of
to hold as long as the compling is done with
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