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. 4. The probability that the sample mean score ?̅ is greater than 540 is about (a) 0.9573 (b) 0.5427 (c) 0.6554 (d) 0.0427 (e) 0.17

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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.

 

4. The probability that the sample mean score ?̅ is greater than 540 is about (a) 0.9573 (b) 0.5427 (c) 0.6554 (d) 0.0427 (e) 0.17

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Expert Answer

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,

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Step 2

Therefore, in this situation,

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Step 3

The probability that the sample mean ...

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