A hospital conducted a study of its emergency room wait times at various locations. A random sample of 10 emergency room cases at each location on a particular day was selected and wait times were measured. The table gives the waiting times (in minutes).

Complete parts a and b.

location				Waiting	hour
A	105.45	100.69	108.29	114.11	72.22	113.47	92.17	74.99	73.57	111.56
B	42.45	22.20	51.79	17.44	69.84	11.59	55.63	59.11	15.43	35.50
C	61.54	40.86	68.98	57.33	38.17	89.90	64.40	63.86	76.91	87.28
D	89.38	30.41	81.69	65.24	87.03	31.30	30.49	65.81	15.10	30.74

Calculate the test statistic.

H= ________________(Round to three decimal places as necessary.)

Identify the p-value

p-value= ________________(Round to three decimal places as necessary)

Is there evidence of a difference in median wait times at the four locations?

(1) ________________The decision is (2) ____________________The data (3) ______________________Sufficient evidence to conclude that (4) ____________________

(1) No, Yes

(2) accept the alternative hypothesis, do not accept the alternative hypothesis, do not reject the null hypothesis, reject the null hypothesis

(3) Provide, not provide

(4) at least one location has a different wait time, all locations have different wait times, all locations have the same wait time.

b. A one-way ANOVA of the same data gives F=13.783 with Fα=2.243.

Compare the results in (a) with the ANOVA results.

According to the ANOVA test, (5) _____________________That means the conclusion of the two tests is (6) __________________________

(5) at least one mean is different, all means are the same, all means are different.

(6) consistent, not consistent