Suppose x has a distribution with a mean of 70 and a standard deviation of 44. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select- v distribution with mean u = and standard deviation o %3D (b) Find the z value corresponding to x = 75.5. Z = 0.125 (c) Find P(x < 75.5). (Round your answer to four decimal places.) P(x < 75.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 75.5? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 75.5. O No, it would not be unusual because less than 5% of all such samples have means less than 75.5. O No, it would not be unusual because more than 5% of all such samples have means less than 75.5. O Yes, it would be unusual because less than 5% of all such samples have means less than 75.5.

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 44. Random samples of size n = 64 are drawn.
A USE SALT
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
x has -Select-
v distribution with mean µ,
and standard deviation o,
(b) Find the z value corresponding to x = 75.5.
Z = 0.125
(c) Find P(x < 75.5). (Round your answer to four decimal places.)
P(x < 75.5) =
%3D
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 75.5? Explain.
O Yes, it would be unusual because more than 5% of all such samples have means less than 75.5.
O No, it would not be unusual because less than 5% of all such samples have means less than 75.5.
O No, it would not be unusual because more than 5% of all such samples have means less than 75.5.
O Yes, it would be unusual because less than 5% of all such samples have means less than 75.5.
Transcribed Image Text:Suppose x has a distribution with a mean of 70 and a standard deviation of 44. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has -Select- v distribution with mean µ, and standard deviation o, (b) Find the z value corresponding to x = 75.5. Z = 0.125 (c) Find P(x < 75.5). (Round your answer to four decimal places.) P(x < 75.5) = %3D (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 75.5? Explain. O Yes, it would be unusual because more than 5% of all such samples have means less than 75.5. O No, it would not be unusual because less than 5% of all such samples have means less than 75.5. O No, it would not be unusual because more than 5% of all such samples have means less than 75.5. O Yes, it would be unusual because less than 5% of all such samples have means less than 75.5.
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