Exercise 8.58 stated that a random sample of 500

Chapter 10, Problem 34E

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Problem 34E

Exercise 8.58 stated that a random sample of 500 measurements on the length of stay in hospitals had sample mean 5.4 days and sample standard deviation 3.1 days. A federal regulatory agency hypothesizes that the average length of stay is in excess of 5 days. Do the data support this hypothesis? Use α = .05.

Reference

The administrators for a hospital wished to estimate the average number of days required for inpatient treatment of patients between the ages of 25 and 34. A random sample of 500 hospital patients between these ages produced a mean and standard deviation equal to 5.4 and 3.1 days, respectively. Construct a 95%confidence interval for the mean length of stay for the population of patients from which the sample was drawn.

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