Constructing Confidence Intervals In addition to testing claims involving σ 1 2 and σ 2 2 we can…

Constructing Confidence Intervals In addition to testing claims involving σ 1 2 and σ 2 2 we can…

Constructing Confidence Intervals In addition to testing claims involving σ12  and σ22 we can also construct confidence interval estimates of the ratio σ12 /σ22 using the following:

Here FL and FR are as described in Exercise 23. Refer to Data Set 18 in Appendix B, and construct a 95% confidence interval estimate for the ratio of the standard deviation of the weights of red M&Ms to the standard deviation of the weights of yellow M&Ms. Do the confidence interval limits include 1, and what can you conclude from whether confidence interval limits include 1?

Data Set 18: M&M Plain Candy Weights (grams)

STATDISK:

Data set name is M&M.

Minitab:

Worksheet name is M&M.MTW.

Excel:

Workbook name is M&M.XLS.

TI-83/84 Plus:

App name is MM, and the file

 

names are the same as for text

 

files.

Text file names:

Text file names are RED, ORNG,

 

YLLW, BROWN, BLUE, GREEN.

Data Set 18: M&M Plain Candy Weights (grams)

0.751

0.735

0.883

0.696

0.881

0.925

0.841

0.895

0.769

0.876

0.863

0.914

0.856

0.865

0.859

0.855

0.775

0.881

0.799

0.864

0.784

0.806

0.854

0.865

0.966

0.852

0.824

0.840

0.810

0.865

0.859

0.866

0.858

0.868

0.858

1.015

0.857

0.859

0.848

0.859

0.818

0.876

0.942

0.838

0.851

0.982

0.868

0.809

0.873

0.863

 

 

0.803

0.865

0.809

0.888

 

 

0.932

0.848

0.890

0.925

 

 

0.842

0.940

0.878

0.793

 

 

0.832

0.833

0.905

0.977

 

 

0.807

0.845

 

0.850

 

 

0.841

0.852

 

0.830

 

 

0.932

0.778

 

0.856

 

 

0.833

0.814

 

0.842

 

 

0.881

0.791

 

0.778

 

 

0.818

0.810

 

0.786

 

 

0.864

0.881

 

0.853

 

 

0.825

 

 

0.864

 

 

0.855

 

 

0.873

 

 

0.942

 

 

0.880

 

 

0.825

 

 

0.882

 

 

0.869

 

 

0.931

 

 

0.912

 

 

 

 

 

0.887

 

 

 

 

 

0.886

 

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