Question

Is there a difference in emergency room visits before, during, and after a full moon? A study looked at the admission rate (number of patients per day) to the emergency room of a Virginia mental health clinic over a series of 12 full moons. The data are provided in the table. Is there evidence of a difference in emergency room visits before, during, and after the full moon? Assume the data is a randomly selected and independent. Also, assume that the data is normally distributed. Use a 0.05 significance level.

Before 6.4 7.1 6.5 8.6 8.1 10.4 11.5 13.8 15.4 15.7 11.7 15.8

During 5 13 14 12 6 9 13 16 25 14 14 20

After 5.8 9.2 7.9 7.7 11.0 12.9 13.5 13.1 15.8 13.3 12.8 14.5

Answer 1

The required calculations for analysis is given below.

before (x)	during (y)	after (z)		X^2	Y^2	Z^2
6.4	5	5.8		40.96	25	33.64
7.1	13	9.2		50.41	169	84.64
6.5	14	7.9		42.25	196	62.41
8.6	12	7.7		73.96	144	59.29
8.1	6	11		65.61	36	121
10.4	9	12.9		108.16	81	166.41
11.5	13	13.5		132.25	169	182.25
13.8	16	13.1		190.44	256	171.61
15.4	25	15.8		237.16	625	249.64
15.7	14	13.3		246.49	196	176.89
11.7	14	12.8		136.89	196	163.84
15.8	20	14.5		249.64	400	210.25
Total
131	161	137.5		1574.22	2493	1681.87
pvalue=f.dist.rt(1.1738,2,33)
0.321766