Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure. Women Men 69 69 95 63 81 67 65 61 72 64 81 71 59 59 50 40 73 67 89 66 67 83 59 75 73 53 62 75 67 51 87 91 56 79 85 81 71 60 62 72 71 81 72 103 87 61 71 78 67 72 68 85 69 64 83 67 73 55 89 83 63 79 70 55 77 63 91 67 86 72 59 48 77 63 82 75 79 73 83 55 77 69 60 61 65 67 75 78 59 73 68 73 64 66 55 91 66 66 73 77 65 48 72 88 77 87 66 68 83 73 60 66 93 73 56 87 77 55 74 91 59 81 78 89 65 94 93 89 46 88 46 103 66 71 70 81 57 69 71 64 66 63 71 71 71 70 66 54 75 76 65 63 72 79 57 92 57 80 81 87 71 63 70 71 64 79 65 75 85 58 55 67 76 83 73 72 53 68 91 69 59 69 82 74 81 73 76 69 65 79 71 69 62 50 88 65 57 71 76 67 77 77 90 52 64 55 71 66 79 85 42 84 75 71 73 79 46 71 73 56 89 83 78 81 69 57 69 68 72 64 81 67 63 73 98 63 68 63 73 78 61 85 68 77 69 93 74 97 61 75 69 79 54 75 56 55 69 78 68 75 74 50 75 75 40 82 72 65 55 81 69 74 81 82 65 53 74 83 65 97 67 67 56 68 95 67 71 70 63 46 85 57 55 50 69 44 82 61 73 70 Calculate the test statistic. Find the P-value.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure.

Women	Men
69	69
95	63
81	67
65	61
72	64
81	71
59	59
50	40
73	67
89	66
67	83
59	75
73	53
62	75
67	51
87	91
56	79
85	81
71	60
62	72
71	81
72	103
87	61
71	78
67	72
68	85
69	64
83	67
73	55
89	83
63	79
70	55
77	63
91	67
86	72
59	48
77	63
82	75
79	73
83	55
77	69
60	61
65	67
75	78
59	73
68	73
64	66
55	91
66	66
73	77
65	48
72	88
77	87
66	68
83	73
60	66
93	73
56	87
77	55
74	91
59	81
78	89
65	94
93	89
46	88
46	103
66	71
70	81
57	69
71	64
66	63
71	71
71	70
66	54
75	76
65	63
72	79
57	92
57	80
81	87
71	63
70	71
64	79
65	75
85	58
55	67
76	83
73	72
53	68
91	69
59	69
82	74
81	73
76	69
65	79
71	69
62	50
88	65
57	71
76	67
77	77
90	52
64	55
71	66
79	85
42	84
75	71
73	79
46	71
73	56
89	83
78	81
69	57
69	68
72	64
81	67
63	73
98	63
68	63
73	78
61	85
68	77
69	93
74	97
61	75
69	79
54	75
56	55
69	78
68	75
74	50
75	75
40	82
72	65
55	81
69	74
81	82
65	53
74	83
65	97
67	67
56	68
95	67
71	70
63	46
85	57
55	50
	69
	44
	82
	61
	73
	70

Calculate the test statistic.

Find the P-value.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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