Suppose x has a distribution with a mean of 70 and a standard deviation of 52. Random samples of size n = 64 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has --Select-. + distribution with mean u, and standard deviation o, = (b) Find the z value corresponding to x = 57. (c) Find P(x < 57). (Round your answer to four decimal places.) P(X < 57) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 57? Explain. No, it would not be unusual because more than 5% of all such samples have means less than 57. No, it would not be unusual because less than 5% of all such samples have means less than 57. Yes, it would be unusual because more than 5% of all such samples have means less than 57. Yes, it would be unusual because less than 5% of all such samples have means less than 57.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Suppose x has a distribution with a mean of 70 and a standard deviation of 52. Random samples of size n = 64 are drawn.
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
x has --Select-.
+ distribution with mean u,
and standard deviation o, =
(b) Find the z value corresponding to x = 57.
(c) Find P(x < 57). (Round your answer to four decimal places.)
P(X < 57) =
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 57? Explain.
No, it would not be unusual because more than 5% of all such samples have means less than 57.
No, it would not be unusual because less than 5% of all such samples have means less than 57.
Yes, it would be unusual because more than 5% of all such samples have means less than 57.
Yes, it would be unusual because less than 5% of all such samples have means less than 57.
Transcribed Image Text:Suppose x has a distribution with a mean of 70 and a standard deviation of 52. Random samples of size n = 64 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has --Select-. + distribution with mean u, and standard deviation o, = (b) Find the z value corresponding to x = 57. (c) Find P(x < 57). (Round your answer to four decimal places.) P(X < 57) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 57? Explain. No, it would not be unusual because more than 5% of all such samples have means less than 57. No, it would not be unusual because less than 5% of all such samples have means less than 57. Yes, it would be unusual because more than 5% of all such samples have means less than 57. Yes, it would be unusual because less than 5% of all such samples have means less than 57.
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