An article in Quality Engineering (1992, Vol. 4, pp.

Chapter 6, Problem 108SE

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QUESTION:

An article in Quality Engineering (1992, Vol. 4, pp. 487–495) presents viscosity data from a batch chemical process. A sample of these data is in Table 6E.11.

(a) Reading left to right and up and down, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot.

(b) Consider the notion that the first 40 observations were generated from a specii c process, whereas the last 40 observations were generated from a different process. Does the plot indicate that the two processes generate similar results?

(c) Compute the sample mean and sample variance of the first 40 observations; then compute these values for the second 40 observations. Do these quantities indicate that both processes yield the same mean level? The same variability? Explain.

Questions & Answers

QUESTION:

An article in Quality Engineering (1992, Vol. 4, pp. 487–495) presents viscosity data from a batch chemical process. A sample of these data is in Table 6E.11.

(a) Reading left to right and up and down, draw a time series plot of all the data and comment on any features of the data that are revealed by this plot.

(b) Consider the notion that the first 40 observations were generated from a specii c process, whereas the last 40 observations were generated from a different process. Does the plot indicate that the two processes generate similar results?

(c) Compute the sample mean and sample variance of the first 40 observations; then compute these values for the second 40 observations. Do these quantities indicate that both processes yield the same mean level? The same variability? Explain.

ANSWER:

Solution

Step 1 of 3

a) We have to draw a time series plot for all the data

Now construct the time series plot in MINITAB by following the steps below

1. Enter the data in MINITAB

2. Go to graphs and select time series plot

3. Select the data range then select ok

Then we will get time series plot

The plot is not appear to be a general increasing or decreasing pattern, because the pattern in the plot not showing the slope is upward and downward  

In the plot there is a lot of variation, because the plot is having many peak points


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