NOTE: Assume we are testing at = 0.05 forall statistical tests In the past the a
ID: 2955244 • Letter: N
Question
NOTE: Assume we are testing at = 0.05 forall statistical tests
In the past the average number of nursing home days required byelderly patients before they could be released to home care was17. It is hoped that a new program will reduce thisfigure. The data below show the average number of nursing homedays. Is there evidence to suggest that the average length ofstay is less than 17 days?
3
5
12
7
22
6
2
18
9
8
20
15
3
36
38
43
Ho:
Ha:
Test statistic & value:
p-value:
Statistical conclusion:
Practical conclusion:
3
5
12
7
22
6
2
18
9
8
20
15
3
36
38
43
Explanation / Answer
Ho: >=17
Ha:<17
Test statistic & value:
t=(xbar-)/(s/n)
=(15.44-17)/(13.24/sqrt(16))
= -0.47
p-value:
P(t(df=n-1=15)<-0.47)=0.3223 (check student t table)
Statistical conclusion:
Since thep-value=0.3223>=0.05, we do not rejectHo.
Practical conclusion:
So we can not conclude thatthe average length of stay is less than 17 days
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