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Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 (b) Find the z value corresponding to x = 45.5. (c) Find P(x < 45.5). (Round your answer to four decimal places.)   (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? Explain. A. Yes, it would be unusual because less than 5% of all such samples have means less than 45.5. B. No, it would not be unusual because less than 5% of all such samples have means less than 45.5.     C. Yes, it would be unusual because more than 5% of all such samples have means less than 45.5. D. No, it would not be unusual because more than 5% of all such samples have means less than 45.5.

Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 (b) Find the z value corresponding to x = 45.5. (c) Find P(x < 45.5). (Round your answer to four decimal places.)   (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? Explain. A. Yes, it would be unusual because less than 5% of all such samples have means less than 45.5. B. No, it would not be unusual because less than 5% of all such samples have means less than 45.5.     C. Yes, it would be unusual because more than 5% of all such samples have means less than 45.5. D. No, it would not be unusual because more than 5% of all such samples have means less than 45.5.

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 50 and a standard deviation of 36. Random samples of size n = 64

(b) Find the z value corresponding to
x = 45.5.
(c) Find
P(x < 45.5).
(Round your answer to four decimal places.)
 
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? Explain.
A. Yes, it would be unusual because less than 5% of all such samples have means less than 45.5.
B. No, it would not be unusual because less than 5% of all such samples have means less than 45.5.    
C. Yes, it would be unusual because more than 5% of all such samples have means less than 45.5.
D. No, it would not be unusual because more than 5% of all such samples have means less than 45.5.
 
Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 are drawn. In USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has an approximately normal distribution with mean u, = 50 and standard deviation o, = 4.5 (b) Find the z value corresponding to x = 45.5. % = (c) Find P(x < 45.5). (Round your answer to four decimal places.) P(X < 45.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 45.5. O No, it would not be unusual because less than 5% of all such samples have means less than 45.5. O Yes, it would be unusual because more than 5% of all such samples have means less than 45.5. O No, it would not be unusual because more than 5% of all such samples have means less than 45.5.
Transcribed Image Text:Suppose x has a distribution with a mean of 50 and a standard deviation of 36. Random samples of size n = 64 are drawn. In USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has an approximately normal distribution with mean u, = 50 and standard deviation o, = 4.5 (b) Find the z value corresponding to x = 45.5. % = (c) Find P(x < 45.5). (Round your answer to four decimal places.) P(X < 45.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 45.5? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 45.5. O No, it would not be unusual because less than 5% of all such samples have means less than 45.5. O Yes, it would be unusual because more than 5% of all such samples have means less than 45.5. O No, it would not be unusual because more than 5% of all such samples have means less than 45.5.
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