Researchers studied the length of hospital stay for the elderly patients in a psychiatric ward in...

Researchers studied the length of hospital stay for the elderly patients in a psychiatric ward in one of Phoenix hospitals. Their conclusion was that the mean length of hospital stay for all these patients was 26 days. The distribution was normal. Concerned citizens watch group want to verify the length of hospital stay by estimating it using a random sample of 40 patients. The mean length of hospital stay for this sample of patients is 23. Assume the length of hospital stay is normally distributed and the population standard deviation is 8.3 days. Do we have evidence at 5% significance level that mean length hospital stay for the elderly patients in a psychiatric ward in one of Phoenix hospitals differs from what researchers concluded?

1.Formulate null and alternative hypotheses, use proper notation.

2.Compute the appropriate test statistics.

3.Give the rejection region for your test, include appropriate sketch, marking critical value(s), and clearly label rejection and non-rejection areas.

4.Compute a p-value for your test.

5.State the conclusion of your test (reject or fail to reject H0).

6.Interpret the conclusion in context. Use complete sentences.

7.Find the power of the test, probability of committing the Type I error, and probability of committing the Type II error if the true mean length of hospital stay is 25 days.

Expert Solution

orchestra answered 2 years ago

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