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1. Math 215 test scores are normally distributed with a mean of 75 and a standar

ID: 3387628 • Letter: 1

Question

1. Math 215 test scores are normally distributed with a mean of 75 and a standard deviation of 13. A sample of 120 student tests was randomly selected and found to have a sample mean of 79 and standard deviation of 15. Answer the following questions based on this scenario.

Explain whether the sampling distribution is normal.

Question Symbol Numeric Value When samples of 120 tests are selected from this population, what is the standard deviation of the sampling distribution of sample means?

Explain whether the sampling distribution is normal.

NA NA

Explanation / Answer

SE(xbar)=sd/sqrt(n)=15/sqrt(120)=1.3693

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