A random sample of size 60 is taken from a population with meanu - 55 and standard deviation a 18. Considerthe sample mean from this random sample.Which of the following statements is (are) correct? This is a multiple-answer question. It may have more than onecorrect answers.Oi. Because we have a large sample, the Central Limit Theory tell us that the sample mean has a normal distribution.Oil. The sampling distribution of the sample mean has a mean of 55 and a standard deviation of 18.Oiii. The probability that the sample mean is greater than 50 isP(x > 50) = P (z > 50-55) = P(Z > -0.28) = 0.610310Div. The probability that the sample mean is greater than 50 isP(x >50) = P(Z > 55150) = = P(z > 2.15) = 0.0158Ov. The probability that the sample mean is greater than 50 isP(x>50)=P50-55픔= P(z>-2.15) = 0.9842

Given: The value of n is 60. The value of μ is 55 and the value of σ is 18.

Answered: A random sample of size 60 is taken…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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