The scores on the 2020 ACT were approximately normal, with a population mean of μ = 22, and a standard deviation of σ = 8. Suppose that a researcher collects a sample of n = 16 high school sophomores, and administers the 2020 ACT to them to see how they would do. The mean score for this specific sample of students was x̅ = 19.   What is the probability of obtaining a sample mean of x̅ = 19 or higher by chance?

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The scores on the 2020 ACT were approximately normal, with a population mean of μ = 22, and a standard deviation of σ = 8. Suppose that a researcher collects a sample of n = 16 high school sophomores, and administers the 2020 ACT to them to see how they would do. The mean score for this specific sample of students was x̅ = 19.

 

What is the probability of obtaining a sample mean of x̅ = 19 or higher by chance?

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