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Suppose x has a distribution with a mean of 30 and a standard deviation of 4. 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 a normal distribution with mean μ = 30✔ and standard deviation x = 0.5 (b) Find the z value corresponding to x = 30.5. z = 1 v (c) Find P(x < 30.5). (Round your answer to four decimal places.) P(x < 30.5) X (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 30.5? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because more than 5% of all such samples have means less than 30.5. No, it would not be unusual because more than 5% of all such samples have means less than 30.5. X

Suppose x has a distribution with a mean of 30 and a standard deviation of 4. 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 a normal distribution with mean μ = 30✔ and standard deviation x = 0.5 (b) Find the z value corresponding to x = 30.5. z = 1 v (c) Find P(x < 30.5). (Round your answer to four decimal places.) P(x < 30.5) X (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 30.5? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because more than 5% of all such samples have means less than 30.5. No, it would not be unusual because more than 5% of all such samples have means less than 30.5. X

MATLAB: An Introduction with Applications
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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Suppose x has a distribution with a mean of 30 and a standard deviation of 4. 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 a normal distribution with mean = = 30 (b) Find the z value corresponding to x = 30.5. Z = 1 (c) Find P(x < 30.5). (Round your answer to four decimal places.) P(x < 30.5) = and standard deviation ox = 0.5 (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 30.5? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because more than 5% of all such samples have means less than 30.5. O No, it would not be unusual because more than 5% of all such samples have means less than 30.5. X
Transcribed Image Text:Suppose x has a distribution with a mean of 30 and a standard deviation of 4. 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 a normal distribution with mean = = 30 (b) Find the z value corresponding to x = 30.5. Z = 1 (c) Find P(x < 30.5). (Round your answer to four decimal places.) P(x < 30.5) = and standard deviation ox = 0.5 (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 30.5? Explain. No, it would not be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because less than 5% of all such samples have means less than 30.5. Yes, it would be unusual because more than 5% of all such samples have means less than 30.5. O No, it would not be unusual because more than 5% of all such samples have means less than 30.5. X
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