Question

Question 9-15 are based on the random sample below which is obtained to test the following hypothesis about the population mean. Test the hypothesis that the mean is less than 80.
	80	100	81	93	80	57	98	90
	71	56	58	78	59	55	55	77
	72	78	56	94	98	59	93	86
	89	62	60	66	59	71	96	97
	94	69	64	77	87	77	64	90
	90	95	98	99	56	69	72	81
	95	89	97	83	98	58	88	90
	90	57	99	80	88	58	69	75
	85	91	67	70	73	86	83	62
	90	88	75	56	57	57	92	67
	70	67	71	64	70	68	99	83
	91	98	100	67	75	92	79	70
	92	97	59	70	68	59	71	99

13	Given α = 0.05, the critical value for the test is,
a	2.201
b	1.983
c	1.768
d	1.660
14	The approximate p-value for the test is,
a	0.128
b	0.092
c	0.078
d	0.066
15	Based on the p-value in the previous question,
a	Reject H₀ at α = 0.05; do not reject H₀ at α = 0.01
b	Reject H₀ at α = 0.01; do not reject H₀ at α = 0.05
c	Reject H₀ at α = 0.10; do not reject H₀ at α = 0.05
d	reject H₀ at α = 0.10; reject H₀ at α = 0.05

Answer 1