Below shows the mean score of surface finish metal parts.the surface finishes score is measured from 0(lowest) to 100 (highest).The score is believed to influence by the types of paints used and the drying time i.ii.iii.iv.V.Sketch the interaction plot. Clearly label both axes.Comment on the interaction effect between drying time and types of paints. Support youranswer.Describe the amount of change in the mean responses for the types of paints at alllevels of drying times. Explain in the context of your response variable.Explain the effect of the types of paints on the response variable. Explain in the contextof your response variable.From descriptive analysis (i) to (iv), suggest the hypotheses statements in the contextof the above problem. State your reason. PaintKedah PaintPerlis PaintDrying Time25-min60.59140-min5060.5

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Below shows the mean score of surface finish metal parts.the surface finishes score is measured from 0(lowest) to 100 (highest).The score is believed to influence by the types of paints used and the drying time

i.
ii.
iii.
iv.
V.
Sketch the interaction plot. Clearly label both axes.
Comment on the interaction effect between drying time and types of paints. Support your
answer.
Describe the amount of change in the mean responses for the types of paints at all
levels of drying times. Explain in the context of your response variable.
Explain the effect of the types of paints on the response variable. Explain in the context
of your response variable.
From descriptive analysis (i) to (iv), suggest the hypotheses statements in the context
of the above problem. State your reason.

Paint
Kedah Paint
Perlis Paint
Drying Time
25-min
60.5
91
40-min
50
60.5

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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