The table below summarises the height, X₁ (in inches), and the weight, X2 (in pounds) of a random sample of n = 20 students. X1 X2 69 153 74 175 68 155 70 135 72 172 67 150 66 115 70 137 76 200 68 130 72 140 79 265 74 185 67 112 66 140 71 150 74 165 75 185 75 210 76 220 a. At a = 1%, do the data provide sufficient evidence to indicate that μ = μo = (170)? The population covariance matrix is known and is given by Σ = (200 100 1000/ 100 b. Perform the same test with Σ unknown and estimated by the sample covariance matrix S. c. Construct one-at-a-time, T² and Bonferroni confidence intervals for μ₁ and µ₂.

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Author:Amos Gilat
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The table below summarises the height, X₁ (in inches), and the weight, X₂ (in pounds) of a random
sample of n = 20 students.
X1
X2
69
153
74
175
68
155
70
135
72
172
67
150
66
115
70
137
76
200
68
130
72
140
79
265
74
185
67
112
66
140
71
150
74
165
75
185
75
210
76
220
a. At a = 1%, do the data provide sufficient evidence to indicate that µ = µo = (170)?
The population covariance matrix is known and is given by Σ = (200
-(100 1000)
b. Perform the same test with Σ unknown and estimated by the sample covariance matrix S.
c. Construct one-at-a-time, T² and Bonferroni confidence intervals for µ₁ and µ2.
Transcribed Image Text:The table below summarises the height, X₁ (in inches), and the weight, X₂ (in pounds) of a random sample of n = 20 students. X1 X2 69 153 74 175 68 155 70 135 72 172 67 150 66 115 70 137 76 200 68 130 72 140 79 265 74 185 67 112 66 140 71 150 74 165 75 185 75 210 76 220 a. At a = 1%, do the data provide sufficient evidence to indicate that µ = µo = (170)? The population covariance matrix is known and is given by Σ = (200 -(100 1000) b. Perform the same test with Σ unknown and estimated by the sample covariance matrix S. c. Construct one-at-a-time, T² and Bonferroni confidence intervals for µ₁ and µ2.
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