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.Ohas an unknown distribution.Ohas 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.

Given data is Mean(μ)=60standard deviation(σ)=9sample size(n)=36

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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