(a) Find a 94% Bonferonni confidence interval for u- 42. (b) Which pairs of means are significantly different, using the Bonferonni method at the 6% significance level?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Problem #4: Consider the data set that is summarized in the R Output below.
Sum Sg
F Value
13.79
Df
Mean Sq
56.091
4.068
Pr (>F)
0.0000 *.
C2
112.18
Residuals 34
138.32
Signif. codes:
0*** 0.001 0.01 0.05 . 0.1 '1
sample n
8.
mean
sd
1.7054
14
11.54
2.2481
3
15
7.62
1.9321
Pairwise comparisons using t tests with pooled SD
data:
C2 and sample
2
2 0.031 -
3 0.300 0.000
P value adjustment method: bonferroni
(a) Find a 94% Bonferonni confidence interval for 43 - H2.
(b) Which pairs of means are significantly different, using the Bonferonni method at the 6% significance level?
enter your answer in the form a,b
(numbers correct to 3 decimals)
Problem #4(a):
(A) 2 and 3 only (B) 1 and 2 only (C) 1 and 2, 1 and 3 only (D) none of them (E) 1 and 2, 2 and 3 only
(F) 1 and 3,2 and 3 only (G) 1 and 3 only (H) all of them
Transcribed Image Text:Problem #4: Consider the data set that is summarized in the R Output below. Sum Sg F Value 13.79 Df Mean Sq 56.091 4.068 Pr (>F) 0.0000 *. C2 112.18 Residuals 34 138.32 Signif. codes: 0*** 0.001 0.01 0.05 . 0.1 '1 sample n 8. mean sd 1.7054 14 11.54 2.2481 3 15 7.62 1.9321 Pairwise comparisons using t tests with pooled SD data: C2 and sample 2 2 0.031 - 3 0.300 0.000 P value adjustment method: bonferroni (a) Find a 94% Bonferonni confidence interval for 43 - H2. (b) Which pairs of means are significantly different, using the Bonferonni method at the 6% significance level? enter your answer in the form a,b (numbers correct to 3 decimals) Problem #4(a): (A) 2 and 3 only (B) 1 and 2 only (C) 1 and 2, 1 and 3 only (D) none of them (E) 1 and 2, 2 and 3 only (F) 1 and 3,2 and 3 only (G) 1 and 3 only (H) all of them
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