5. Basic Computation: Central Limit Theorem Suppose x has a distribution with a mean of 8 and a standard deviation of 16. Random samples of size n = 64 are drawn. (a) Describe the distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 9. (c) Find P(x > 9). (d) Interpretation Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean greater than 9? Explain.
5. Basic Computation: Central Limit Theorem Suppose x has a distribution with a mean of 8 and a standard deviation of 16. Random samples of size n = 64 are drawn. (a) Describe the distribution and compute the mean and standard deviation of the distribution. (b) Find the z value corresponding to x = 9. (c) Find P(x > 9). (d) Interpretation Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean greater than 9? Explain.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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Transcribed Image Text:5. Basic Computation: Central Limit Theorem Suppose x has a distribution
with a mean of 8 and a standard deviation of 16. Random samples of size
n = 64 are drawn.
(a) Describe the x distribution and compute the mean and standard deviation
of the distribution.
(b) Find the z value corresponding to x = 9.
(c) Find P(x > 9).
(d) Interpretation Would it be unusual for a random sample of size 64 from
the x distribution to have a sample mean greater than 9? Explain.
6. Basic Computation: Central Limit Theorem Suppose x has a distribution
with a mean of 20 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.
(b) Find the z value corresponding to x = 19.
(c) Find P(x< 19).
(d) Interpretation Would it be unusual for a random sample of size 36 from
the x distribution to have a sample mean less than 19? Explain.
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