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Suppose x has a distribution with a mean of 60 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a geometric distribution. x has an unknown distribution. O x has a Poisson distribution. Ox has a normal distribution. x has a binomial distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hg = 0x = (b) Find the z value corresponding to x = 57. (Enter an exact number.) z = (c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.) P(x < 57) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain. O 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. No, it would not be unusual because more than 5% of all such samples have means less than 57.

Suppose x has a distribution with a mean of 60 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a geometric distribution. x has an unknown distribution. O x has a Poisson distribution. Ox has a normal distribution. x has a binomial distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hg = 0x = (b) Find the z value corresponding to x = 57. (Enter an exact number.) z = (c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.) P(x < 57) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain. O 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. No, it would not be unusual because more than 5% of all such samples have means less than 57.

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 60 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a geometric distribution. O has an unknown distribution. O has a Poisson distribution. Ox has a normal distribution. Ox has a binomial distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hx = 0x = (b) Find the z value corresponding to x = 57. (Enter an exact number.) z = (c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.) P(x < 57) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain. O No, it would not be unusual because less than 5% of all such samples have means less than 57. O Yes, it would be unusual because more than 5% of all such samples have means less than 57. O Yes, it would be unusual because less than 5% of all such samples have means less than 57. O No, it would not be unusual because more than 5% of all such samples have means less than 57.
Transcribed Image Text:Suppose x has a distribution with a mean of 60 and a standard deviation of 9. Random samples of size n = 36 are drawn. (a) Describe the x distribution. O x has a geometric distribution. O has an unknown distribution. O has a Poisson distribution. Ox has a normal distribution. Ox has a binomial distribution. O x has an approximately normal distribution. Compute the mean and standard deviation of the distribution. (For each answer, enter a number.) Hx = 0x = (b) Find the z value corresponding to x = 57. (Enter an exact number.) z = (c) Find P(x < 57). (Enter a number. Round your answer to four decimal places.) P(x < 57) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 57? Explain. O No, it would not be unusual because less than 5% of all such samples have means less than 57. O Yes, it would be unusual because more than 5% of all such samples have means less than 57. O Yes, it would be unusual because less than 5% of all such samples have means less than 57. O No, it would not be unusual because more than 5% of all such samples have means less than 57.
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