The following measurements x1 and x2 were made on a sample of four genuine ten pound notes. 2. Genuine (A) X1 4 X2 1 7 11 9 6 8 Similar measurements were made on a sample of five forged ten pound notes. (a) Show that the sample covariance matrix for group A is equal to 17.667 4.333 1.667 4.333 to 3 decimal places. 13.3 5.55) (b) Given that EB : | for the sample of forged ten 5.55 5.8 pound notes, calculate the pooled covariance matrix.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
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The following measurements x, and x2 were made on a sample of four
genuine ten pound notes.
2.
Genuine (A)
X1
4
X2
6
1
7
11
8
Similar measurements were made on a sample of five forged ten pound
notes.
(a)
Show that the sample covariance matrix for group A is equal to
17.667 4.333
1.667
4.333
to 3 decimal places.
Given that Eg = (3.3 5.55) for the sample of forged ten
5.55
5.8
pound notes, calculate the pooled covariance matrix.
(b)
(c)
Use Box's M-test to test at the 5% significance level whether the
group covariance matrices are equal.
Transcribed Image Text:The following measurements x, and x2 were made on a sample of four genuine ten pound notes. 2. Genuine (A) X1 4 X2 6 1 7 11 8 Similar measurements were made on a sample of five forged ten pound notes. (a) Show that the sample covariance matrix for group A is equal to 17.667 4.333 1.667 4.333 to 3 decimal places. Given that Eg = (3.3 5.55) for the sample of forged ten 5.55 5.8 pound notes, calculate the pooled covariance matrix. (b) (c) Use Box's M-test to test at the 5% significance level whether the group covariance matrices are equal.
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