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 collect a sample of n = 20, where all of the dogs are poodles, because you suspect maybe poodles aren't really so smart. The mean IQ of your sample of poodles is M = 19. What is the probability of this sample? That is, what is p(M<19)? (Hint: remember the sample size is now n = 20.)

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