Question

The baseball commissioner believes that the average attendance is less than 2,300,000 per team. You decide to conduct a test of hypothesis to determine whether the mean attendance (Attendance Column) was more than 2,300,000 per team. Use the 5% level of significance. Note: We do not know the populations standard deviation.

Attendance
2.16
2.97
2.68
2.28
3.05
1.62
3.37
2.30
4.27
1.92
2.67
1.39
2.35
2.36
2.32
2.75
3.25
2.06
2.38
1.37
3.02
3.86
2.87
3.85
3.11
1.75
2.79
3.22
3.55
1.96

Select one:

a. p = .700%. Reject the null. The mean attendance is more than 2.3 million.

b. p = 99.30%. Reject the null. The mean attendance is more than 2.3 million.

c. p = 99.30%. Do not reject the null. The mean attendance is less than 2.3 million.

d. p = .700%. Do not reject the null. The mean attendance is less than 2.3 million.

Answer 1

the test statistic we used here is

S NO	Attendance(x)
1	2.16	-0.49	0.2401
2	2.97	0.32	0.1024
3	2.68	0.03	0.0009
4	2.28	-0.37	0.1369
5	3.05	0.4	0.16
6	1.62	-1.03	1.0609
7	3.37	0.72	0.5184
8	2.3	-0.35	0.1225
9	4.27	1.62	2.6244
10	1.92	-0.73	0.5329
11	2.67	0.02	0.0004
12	1.39	-1.26	1.5876
13	2.35	-0.3	0.09
14	2.36	-0.29	0.0841
15	2.32	-0.33	0.1089
16	2.75	0.1	0.01
17	3.25	0.6	0.36
18	2.06	-0.59	0.3481
19	2.38	-0.27	0.0729
20	1.37	-1.28	1.6384
21	3.02	0.37	0.1369
22	3.86	1.21	1.4641
23	2.87	0.22	0.0484
24	3.85	1.2	1.44
25	3.11	0.46	0.2116
26	1.75	-0.9	0.81
27	2.79	0.14	0.0196
28	3.22	0.57	0.3249
29	3.55	0.9	0.81
30	1.96	-0.69	0.4761
Total	79.5		15.5414
Mean	2.65
S square			0.5359
s			0.7321

mean

Variance

now  

the Pvalue of Z = 2.6185 is 0.004416

since the p value is less than alpha= 0.05 therefore we reject the null hypothesis and claim that mean is greater than 2.3 million