what is the probability that the mean of the sample is greater than 110?

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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The average score of employees on a mental examination is 120. Suppose that nothing is known about the shape of the distribution and that the standard deviation is 30. If a random sample of 90 scores were selected and the sample mean were calculated to be 110, what is the probability that the mean of the sample is greater than 110? Show the complete solution.
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