Answered: Suppose x has a distribution with a…

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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Question

Suppose x has a distribution with a mean of 80 and a standard deviation of 20. Random samples of size

n = 64

are drawn.

(a) Describe the

x distribution

and compute the mean and standard deviation of the distribution.

has ---Select--- a binomial a Poisson an unknown an approximately normal a normal a geometric distribution with

mean μ_x =

and

standard deviation σ_x = .

(b) Find the z value corresponding to

x = 77.5.

z =

P(x < 77.5).

(Round your answer to four decimal places.)

P(x < 77.5) =

(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 77.5? Explain.

Yes, it would be unusual because more than 5% of all such samples have means less than 77.5. Yes, it would be unusual because less than 5% of all such samples have means less than 77.5. No, it would not be unusual because more than 5% of all such samples have means less than 77.5. No, it would not be unusual because less than 5% of all such samples have means less than 77.5.

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