Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.

Player	Team	W	L	ERA	SO/IP	HR/IP	R/IP
Verlander, J	DET	24	5	2.40	1.00	0.10	0.29
Beckett, J	BOS	13	7	2.89	0.91	0.11	0.34
Wilson, C	TEX	16	7	2.94	0.92	0.07	0.40
Sabathia, C	NYY	19	8	3.00	0.97	0.07	0.37
Haren, D	LAA	16	10	3.17	0.81	0.08	0.38
McCarthy, B	OAK	9	9	3.32	0.72	0.06	0.43
Santana, E	LAA	11	12	3.38	0.78	0.11	0.42
Lester, J	BOS	15	9	3.47	0.95	0.10	0.40
Hernandez, F	SEA	14	14	3.47	0.95	0.08	0.42
Buehrle, M	CWS	13	9	3.59	0.53	0.10	0.45
Pineda, M	SEA	9	10	3.74	1.01	0.11	0.44
Colon, B	NYY	8	10	4.00	0.82	0.13	0.52
Tomlin, J	CLE	12	7	4.25	0.54	0.15	0.48
Pavano, C	MIN	9	13	4.30	0.46	0.10	0.55
Danks, J	CWS	8	12	4.33	0.79	0.11	0.52
Guthrie, J	BAL	9	17	4.33	0.63	0.13	0.54
Lewis, C	TEX	14	10	4.40	0.84	0.17	0.51
Scherzer, M	DET	15	9	4.43	0.89	0.15	0.52
Davis, W	TB	11	10	4.45	0.57	0.13	0.52
Porcello, R	DET	14	9	4.75	0.57	0.10	0.57

(b) Use the t test to determine the significance of SO/IP.

Use thettest to determine the significance of SO/IP.State the null and alternative hypotheses.

H₀:₁0 H_a:₁< 0H₀:₁= 0 H_a:₁> 0 H₀:₁= 0 H_a:₁0H₀:₁0 H_a:₁= 0H₀:₁0 H_a:₁> 0

Find the value of the test statistic for₁. (Round your answer to two decimal places.)

____________

Find thep-value for₁. (Round your answer to three decimal places.)

p-value = ________

(c) Use the t test to determine the significance of SO/IP.

Use thettest to determine the significance of HR/IP.State the null and alternative hypotheses.

H₀:₂0 H_a:₂< 0H₀:₂0 H_a:₂> 0 H₀:₂= 0 H_a:₂0H₀:₂0 H_a:₂= 0H₀:₂= 0 H_a:₂> 0

Find the value of the test statistic for₂. (Round your answer to two decimal places.)

____________

Find thep-value for₂. (Round your answer to three decimal places.)

p-value = ________