Question

In: Statistics and Probability

The average length of stay in U.S. hospitals 4.5 days. The length of stay in days...

The average length of stay in U.S. hospitals 4.5 days. The length of stay in days of a random sample of patients at a local hospital was recorded.

   a. Use this data to construct a 99% confidence interval. What are the upper and lower bounds?

   b. Based on your confidence interval, is the length of stay at this local hospital significantly different from the national average at the 1% significance level?

Length of Stay (days)
3
6
3
7
8
9
4
6
5
5
7
3
3
5
8
5

Solutions

Expert Solution

Values ( X )
3 5.9414
6 0.3164
3 5.9414
7 2.4414
8 6.5664
9 12.6914
4 2.0664
6 0.3164
5 0.1914
5 0.1914
7 2.4414
3 5.9414
3 5.9414
5 0.1914
8 6.5664
5 0.1914
Total 87 57.9374

Confidence Interval

99% Confidence interval is ( 3.9896 , 6.8854 )

Part b)

Since   lies in the interval  ( 3.9896 , 6.8854 ) we can conclude that the average length of stay in U.S. hospitals is 4.5 days at the 1% significance level.

orchestra answered 2 years ago
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