3.18. A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted and the following conductivity data are obtained: Coating Type 1 2 3 34 4 143 152 134 129 Conductivity 141 149 136 127 150 137 132 132 146 143 127 129 (a) Is there a difference in conductivity due to coating type? Use a = 0.05. (b) Estimate the overall mean and the treatment effects. (c) Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 99 percent confidence interval estimate of the mean difference between coating types 1 and 4.
3.18. A manufacturer of television sets is interested in the effect on tube conductivity of four different types of coating for color picture tubes. A completely randomized experiment is conducted and the following conductivity data are obtained: Coating Type 1 2 3 34 4 143 152 134 129 Conductivity 141 149 136 127 150 137 132 132 146 143 127 129 (a) Is there a difference in conductivity due to coating type? Use a = 0.05. (b) Estimate the overall mean and the treatment effects. (c) Compute a 95 percent confidence interval estimate of the mean of coating type 4. Compute a 99 percent confidence interval estimate of the mean difference between coating types 1 and 4.
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Question
![3.18. A manufacturer of television sets is interested in the
effect on tube conductivity of four different types of coating
for color picture tubes. A completely randomized experiment
is conducted and the following conductivity data are
obtained:
Coating Type
1
234
2
4
143
152
134
129
Conductivity
150
137
132
132
141
149
136
127
146
143
127
129
(a) Is there a difference in conductivity due to coating
type? Use a = 0.05.
(b) Estimate the overall mean and the treatment effects.
(c) Compute a 95 percent confidence interval estimate
of the mean of coating type 4. Compute a 99 percent
confidence interval estimate of the mean difference
between coating types 1 and 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36cd4bff-29c2-4fc3-9530-bf5f1542e8e0%2F575768c3-396e-4390-ab3f-7fa310cab7bf%2Fyv5ynva_processed.png&w=3840&q=75)
Transcribed Image Text:3.18. A manufacturer of television sets is interested in the
effect on tube conductivity of four different types of coating
for color picture tubes. A completely randomized experiment
is conducted and the following conductivity data are
obtained:
Coating Type
1
234
2
4
143
152
134
129
Conductivity
150
137
132
132
141
149
136
127
146
143
127
129
(a) Is there a difference in conductivity due to coating
type? Use a = 0.05.
(b) Estimate the overall mean and the treatment effects.
(c) Compute a 95 percent confidence interval estimate
of the mean of coating type 4. Compute a 99 percent
confidence interval estimate of the mean difference
between coating types 1 and 4.
![(d) Test all pairs of means using the Fisher LSD method
with a = 0.05.
(e) Use the graphical method discussed in Section 3.5.3 to
compare the means. Which coating type produces the
highest conductivity?
(f) Assuming that coating type 4 is currently in use, what
are your recommendations to the manufacturer? We
wish to minimize conductivity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36cd4bff-29c2-4fc3-9530-bf5f1542e8e0%2F575768c3-396e-4390-ab3f-7fa310cab7bf%2Fubchvzq_processed.png&w=3840&q=75)
Transcribed Image Text:(d) Test all pairs of means using the Fisher LSD method
with a = 0.05.
(e) Use the graphical method discussed in Section 3.5.3 to
compare the means. Which coating type produces the
highest conductivity?
(f) Assuming that coating type 4 is currently in use, what
are your recommendations to the manufacturer? We
wish to minimize conductivity.
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