You just started a job as a hospital administrator for a series of hospitals in Virginia. Some of the hospitals are located in large cities (urban hospitals) and some are in rural areas. Your boss wants you to answer two questions: first, she wants to know if the LOS in your sample of rural hospitals is the same as a national average of rural hospitals; second, she wants to know if the LOS in your rural hospitals are the same or longer than the LOS in your urban hospitals.

Answer the following questions, place answers in purple boxes.

H0:

n:

df:

SE:

2

H1:

Mean:

SD:

critical t:

2

CL Lower:

CL Higher:

CI Range:

2

Run the appropriate statistical test(s) needed to answer this question. Place output below:

Compare the LOS from your sample of rural hospital LOS to the national average of rural hospitals LOS. The national average LOS is 7 days. State your null and alternative hypotheses:

H0:

2

H1:

2

Calculate the t-statistic for the sample of rural hospital LOS. Compare the t-statistic to the critical t. Is the null hypothesis accepted or rejected (highlight response)?

t-statistic:

critical t:

0

2

Decision:

ACCEPT

REJECT

What is your alpha value?

What is the critical t from your t-test?

0

State your findings as you would present them to your new boss. Don't forget to reference values in your explanation!

What is the number of days associated with your critical t?

What is the number of days associated with your t-statistic?

0

4

What is your final decision with regard to your null hypothesis?

ACCEPT

REJECT

State your findings as you would present them to your new boss. Don't forget to reference values in your explanation!

16

LOS for Urban Hospital	LOS for Rural Hospital
5	4
11	3
19	1
1	2
6	7
12	6
13	4
17	2
1	4
1	3
15	4
28	7
28	7
16	5
12	4
18	4
14	2
7	7
15	5
11	4
18	4
11	6
25	3
1	3
14	1
11	5
2	7
1	8
5	1
1	3
3	7
1	2
21	4
19	1
19	3
8	6
27	6
5	3
3	4
12	6
5	2
12	4
19	4
1	7
14	2
6	2
2	6
3	6
7	3
1	3
14	1
1	7
9	4
7	4
6	4
1	4
7	1
3	3
3	7
16	7
11	5
9	8
19	2
11	4
21	2
4	6
26	4
3	5
20	7
2	2
2	2
28	5
5	4
24	6
14	8
6	1
8	5
17	3
15	6
1	3
12	8
9	4
13	6
10	1
15	1
6	2
15	3
14	6
4	3
14	5
7	5
10	4
9	6
1	5
7	5
3	3
1	5
9	8
5	4
8	8
9	6
8	5
5	4
19	5
11	7
1	4
13	5
14	5
5	4
4	5
12	7
13	1
13	3
22	6
17	5
11	6
14	6
11	7
7	3
1	7
13	5
2	3
16	6
5	3
6	3
4	5
15	6
16	6
5	4
9	4
1	6
11	4
7	6
1	4
1	8
5	5
7	7
1	7
10	8
7	4
15	2
7	2
14	2
7	2
16	2
1	5
9	7
10	6
17	7
20	6
20	5
23	4
23	5
20	6
13	6
10	3
17	8
2	3
20	1
1	2
1	3
12	4
12	1
13	6
19	4
13	5
8	3
2	6
1	1
13	3
1	3
1	8
15	5
16	5
13	4
11	2
1	4
15	1
1	2
1	4
1	8
20	4
17	5
9	9
6	2
10	4
9	6
5	5
1	4
16	4
3	2
3	1
1	8
7	5
13	4
5	5
10	1
18	7
5	4
11	4
17	5
6	7
2	4
4	3
10	8
15	5
16	4
13	2
10	4
4	4
7	4
13	3
10	5
1	5
1	8
14	5
18	8
28	8
14	4
2	4
10	3
17	4
17	2
21	5
13	4
13	8
17	7
9	2
5	4
18	7
23	5
11	3
13	5
5	5
1	3
12	2
19	7
7	5
1	5
1	3
1	7
1	4
1	4
1	2
1	2
7	8
12	4
13	3
12	2
8	3
1	8
5	3
3	4
15	2
9	4
3	2
5	3
11	3
1	3
20	4
11	6
15	2
9	4
3	5
11	3
15	5
1	5
11	1
19	4
12	7
21	3
8	6
11	4
19	5
3	3
15	3
15	3
24	8
12	3
9	3
11	2
5	5
11	4
5	3
6	6
17	4
12	4
1	6
3	5
11	2
4	2
13	6
3	1
7	3
12	6
13	4
7	4
7	5
14	5
1	1
1	4
1	1
15	4
1	3
13	4
17	2
17	7
10	4
1	5
10	2
2	6
5	7
9	2
5	2
1	4
6	4
14	6
2	2
6	4
9	4
12	2
3	1
15	6
10	4
7	5
8	4
14	5
1	5
28	4
1	5
7	5
10	7
7	8
2	3
8	5
9	3
1	6
2	2
3	8
20	2
22	7
10	5
27	2
4	5
1	6
10	6
16	4
1	3
9	5
11	7
5	3
11	4
13	8
11	5
17	4
12	4
13	3
3	2
16	3
11	3
1	3
18	7
21	5
20	9
1	2
3	4
9	5
7	4
8	3
11	3
16	3
17	6
13	5
6	7
8	6
11	3
1	4
5	4
1	2
19	1
1	3
13	4
22	5
7	5
4	7
20	7
28	6
13	3
2	6
25	4
10	5
8	6
1	5
6	4
5	9
14	4
1	8
1	7
1	7
6	6
28	3
18	8
1	5
17	7
22	5
29	1
8	5
9	5
1	6
1	7
9	4
7	5
13	1
19	9
5	2
1	4
6	1
13	5
20	6
1	9
4	5
13	4
4	3
19	4
14	2
2	4
10	5
23	7
8	5
17	4
6	4
21	4
4	8
4	5
1	6
22	4
23	4
7	9
15	5
4	5
7	8
21	6
11	4
24	6
7	5
6	3
1	7
13	4
15	3
14	5
7	6
10	5
15	5
1	3
21	6
3	5
5	5
8	5
19	5
4	6
13	8
16	1
9	2
17	5
7	6
2	1
5	7
15	1
3	8
1	6
13	3
2	4
9	7
17	7
2	4
8	4
1	5
1	3
12	2
9	4
2	6
1	9
8	1
7	4
20	5
14	6
4	5
15	5
1	8
5	8
14	10
12	2
17	4
7	4
19	7
15	5
13	6
7	1
1	3
6	7