Is there away to solve this question without minitab pls do it in details 60D4%

Question

Is there away to solve this question without minitab
pls do it in details

60D4% Transformations. In some data sets, a transformation by some mathematical function applied to the original data, such as v/y or log y, can result in data that are simpler to work with statistically than the original data. To illustrate the effect of a transformation, consider the following data, which repre- sent cycles to failure for a yarn product: 680. 3650, 175, 1150, 290, 2000, 100, 380. (a) Construct a normal probability piot and comment on the shape of the data distribution. (b) Transform the data using logarithms; that is, let y (new value) log y (old value). Construct a normal probability plot of the transformed data and comment on the effect of

Explanation / Answer

(a) Yes, for the data of the failure cycles given i.e. 680,3650,290,2000,100,380 we will have to take the mean of these values and then plot the frequency with each of these values fall in a given range i.e. 600 -700,700-800 etc. This will give us a normal probablity plot which looks like a bell curve, however, the axis points which we have ot choose are huge, as is the case with out dataset

(b) Now if y(new value) = log(old value) = then 10^y = y(old value). Now the value for values fot y will fall between 2 and 5 at most. This will make it easier to plot the normal prob plot by applying the transformation although shape of the normal probability plot remains the same.

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