Suppose x has a distribution with a mean of 70 and a standard deviation of 3. Random samples of size n = 36 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has distribution with mean ?x =
Suppose x has a distribution with a mean of 70 and a standard deviation of 3. Random samples of size n = 36 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has distribution with mean ?x =
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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Question
Suppose x has a distribution with a mean of 70 and a standard deviation of 3. Random samples of size
n = 36
are drawn.
(a) Describe the
(b) Find the z value corresponding to
(c) Find
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 69.5? Explain.
x distribution
and compute the mean and standard deviation of the distribution.x
has distribution with
mean ?x =
and
standard deviation ?x = .
(b) Find the z value corresponding to
x = 69.5.
z =
(c) Find
P(x < 69.5).
(Round your answer to four decimal places.)P(x < 69.5) =
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 69.5? Explain.
Yes, it would be unusual because less than 5% of all such samples have means less than 69.5.
No, it would not be unusual because more than 5% of all such samples have means less than 69.5.
Yes, it would be unusual because more than 5% of all such samples have means less than 69.5.
No, it would not be unusual because less than 5% of all such samples have means less than 69.5.
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