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Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ...

Questions 23-30: A normal population has a mean μ = 50 and a standard deviation σ = 8. That is, ?~?(50,8). Circle your final answer for each question below.


23. What is the z-score for an individual with a value of 38?




24. What is the probability that a randomly chosen individual from this population will be greater than 40?



25. What is the probability that a randomly chosen individual from this population will be between 44 and 60?




26. If samples of size 25 are drawn from the population, what is the mean of the sampling distribution of ? ̅?



27. If samples of size 25 are drawn from the population, what is the standard deviation of the sampling distribution of ? ̅?



28. What is the probability that the sample mean from a sample of size 25 will be less than 48?



29. What value of ? ̅ will produce the top 30% of the sampling distribution?

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