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Suppose you feel that the average stress level is, on average, greater than 200. The population standard deviation is 27. You test this claim by

Suppose you feel that the average stress level is, on average, greater than 200. The population standard deviation is 27. You test this claim by taking a random sample of 81 adults. The sample has a mean of 208.25.

What is the standard error of the sampling distribution?

What is the standardized sample mean?

Assuming the null is true, what is the probability of getting a sample mean as extreme as we did?

What can you conclude?

What is the 95% confidence interval of the sample mean?

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