An  article  in  Quality  Engineering  presents viscosity  data  from  a  batch  chemical  process.  A sample  of  these  data  is  in  the  table. Reading  left  to  right  and  up  to  down,  draw  a time series  plot  of  all  the  data  and  comment  on  any features  of the data that  are  revealed by this  plot. Consider  that  the  first  40  observations  (the  first  4  columns)  were  generated  from  a  specific  process, whereas the last 40 observations were generated from  a different  process. Does the  plot  indicate  that the  two  processes  generate  similar  results? Calculate  the  sample  mean  and  sample

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An  article  in  Quality  Engineering  presents viscosity  data  from  a  batch  chemical  process.  A sample  of  these  data  is  in  the  table. Reading  left  to  right  and  up  to  down,  draw  a time series  plot  of  all  the  data  and  comment  on  any features  of the data that  are  revealed by this  plot.

Consider  that  the  first  40  observations  (the  first  4  columns)  were  generated  from  a  specific  process, whereas the last 40 observations were generated from  a different  process. Does the  plot  indicate  that the  two  processes  generate  similar  results?

Calculate  the  sample  mean  and  sample  variance  of  the  first  40  and  the  second  40  observations. 

13.3
14.3
14.9
15.2
15.8
14.2
16.0
14.0
14.5
16.1
13.7
15.2
13.7
16.9
14.9
14.4
15.3
13.1
15.2
15.9
15.1
14.9
13.6
13.7
15.3
15.5
14.5
16.5
13.4
15.2
15.3
13.8
14.3
12.6
15.3
14.8
14.1
14.4
14.3
15.6
14.8
14.6
15.6
15.1
14.8
15.2
15.6
14.5
15.2
14.3
15.8
17.0
14.3
14.6
16.1
12.8
14.5
15.4
13.3
14.9
14.3
16.4
13.9
16.1
14.6
15.2
14.1
14.8
16.4
14.2
15.2
16.6
14.1
16.8
15.4
14.0
16.9
15.7
14.4
15.6
Transcribed Image Text:13.3 14.3 14.9 15.2 15.8 14.2 16.0 14.0 14.5 16.1 13.7 15.2 13.7 16.9 14.9 14.4 15.3 13.1 15.2 15.9 15.1 14.9 13.6 13.7 15.3 15.5 14.5 16.5 13.4 15.2 15.3 13.8 14.3 12.6 15.3 14.8 14.1 14.4 14.3 15.6 14.8 14.6 15.6 15.1 14.8 15.2 15.6 14.5 15.2 14.3 15.8 17.0 14.3 14.6 16.1 12.8 14.5 15.4 13.3 14.9 14.3 16.4 13.9 16.1 14.6 15.2 14.1 14.8 16.4 14.2 15.2 16.6 14.1 16.8 15.4 14.0 16.9 15.7 14.4 15.6
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