Question

The New York Times reported that the average length of stay for 42 patients in NYC...

The New York Times reported that the average length of stay for 42 patients in NYC hospitals was 23 hours
with a standard deviation of 2.5 hours. It reported that the average length of stay for 36 patients in the
suburbs was 23.8 hours with a standard deviation of 3.4 hours. At the 1% level of significance, is the length of
time a patient stays in the hospital significantly longer in the suburbs?

(1) List all the information necessary for conducting the hypothesis test and state which
test you are doing.
(2) State the null and alternative hypotheses and whether you would use a right-tailed
test, a left-tailed test, or a two-tailed test.
(3) Sketch the critical reason, indicating on the sketch what the critical value(s) are.
(4) Determine the calculated z or t.
(6) Decide if you will Reject or Fail to Reject the Null Hypothesis.
(7) Interpret your conclusion in terms of the problem.

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