Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You collect your sample of n = 40 dogs and find their mean dog IQ is M = 20.5. What is the probability of this sample? That is, what is p(M>20.5)?

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