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.

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 1 year ago

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