A worldwide organization of academics claims that the maen IQ score of its members is 115, with a standard deviation of 17. A randomly selectred group of 40 members of this organization is testedd, and the results reveal that the mean IQ score in this sample is 114.4. If the organization's claim is correct, what is the probability of having a sample mean of 114.4 or less for a random sample of this size?  Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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A worldwide organization of academics claims that the maen IQ score of its members is 115, with a standard deviation of 17. A randomly selectred group of 40 members of this organization is testedd, and the results reveal that the mean IQ score in this sample is 114.4. If the organization's claim is correct, what is the probability of having a sample mean of 114.4 or less for a random sample of this size? 

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. 

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