Question

Asked Mar 28, 2019

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Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample.

Step 1

Denote *X* as the Sat-I test score. It is given that *X* is normally distributed, with mean *μ* = 509 and standard deviation *σ* = 108.

Let *X* bar be the mean Sat-I score. It is known that,

Step 2

Therefore, in this situation,

Step 3

The probability that the sample mean ...

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