A manufacturer of television sets is interested in the effect on tube conductivity of four different...

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		Conductivity
1	143	141	150	146
2	152	149	137	143
3	134	136	132	127
4	129	127	132	129

a) Is there a difference in conductivity due to a coating type? Use α= 0.05.

b) Estimate the overall mean and the treatment effects.

c) Calculate a confidence interval with 95% for the average coating type 4 and calculate the confidence interval with 99% for the difference between the average coating types 1 and 4.

d) Test all pairs of means using the Fisher LSD method with α= 0.05.

e) Use the graphical method discussed in section 3-5.3 to compare the means. What is the type of coating which produces the highest conductivity?

f) Assuming that coating type 4 is currently being used, what would you recommend to manufacturer? It wants to minimize conductivity.

g) Analyze the residuals and draw conclusions about the adequacy of the model.

Solutions

Expert Solution

SOLUTION:

(c)SE=sqrt(MS error/r)=sqrt(88.27/4)=4.7

95% confidence interval type 4=136.25t(0.05,12)*SE=136.252.18*4.7==136.2510.24=(126.01,146.49)
(F)99% confidence interval for difference of type 1 and type 4=(139.5-136.25)t(0.01,12)*sqrt(2*MSE/r)

=3.253.05*sqrt(2*88.27/4)=3.2520.3=(-16.95,23.55)

NOTE: ACCORDING TO MY KNOWLEDGE .I HAVE ANSWERED ONLY A,,B,C &F ARE ANSWERED .IF YOU WANT REMAINING BITS PLEASE POST TO ANOTHER WINDOWS.THANKS.

milcah answered 9 months ago

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