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Suppose x has a distribution with a mean of 70 and a standard deviation of 51. Random samples of size n = 36are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has  ---Select--- a binomial an approximately normal an unknown a geometric a normal a Poisson distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 61.5.   z = (c) Find P(x < 61.5). (Round your answer to four decimal places.) P(x < 61.5) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 61.5? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 61.5. Yes, it would be unusual because more than 5% of all such samples have means less than 61.5.      No, it would not be unusual because more than 5% of all such samples have means less than 61.5. No, it would not be unusual because less than 5% of all such samples have means less than 61.5.

Suppose x has a distribution with a mean of 70 and a standard deviation of 51. Random samples of size n = 36are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has  ---Select--- a binomial an approximately normal an unknown a geometric a normal a Poisson distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 61.5.   z = (c) Find P(x < 61.5). (Round your answer to four decimal places.) P(x < 61.5) = (d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 61.5? Explain. Yes, it would be unusual because less than 5% of all such samples have means less than 61.5. Yes, it would be unusual because more than 5% of all such samples have means less than 61.5.      No, it would not be unusual because more than 5% of all such samples have means less than 61.5. No, it would not be unusual because less than 5% of all such samples have means less than 61.5.

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 70 and a standard deviation of 51. Random samples of size n = 36are drawn.

(a) Describe the

x distribution

and compute the mean and standard deviation of the distribution.

x
has  ---Select--- a binomial an approximately normal an unknown a geometric a normal a Poisson distribution with
mean μx =
and
standard deviation σx = .


(b) Find the z value corresponding to

x = 61.5.

 

z =



(c) Find

P(x < 61.5).

(Round your answer to four decimal places.)

P(x < 61.5) =



(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 61.5? Explain.

Yes, it would be unusual because less than 5% of all such samples have means less than 61.5.
Yes, it would be unusual because more than 5% of all such samples have means less than 61.5.  
   No, it would not be unusual because more than 5% of all such samples have means less than 61.5.
No, it would not be unusual because less than 5% of all such samples have means less than 61.5.
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