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The following data represent a simple random sample of n =

Chapter 1, Problem 11AYU

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QUESTION:

Problem  11AYU

The following data represent a simple random sample of n = 4 from three populations that are known to be normally distributed. Verify that the F-test statistic is 2.04.

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QUESTION:

Problem  11AYU

The following data represent a simple random sample of n = 4 from three populations that are known to be normally distributed. Verify that the F-test statistic is 2.04.

ANSWER:

Answer :

Step 1:  Given value is  n = 4.

  The given data represents a simple random sample of size n = 4 from three populations that are known to be normally distributed.

                 

       Sample 1

   Sample 2

  Sample 3

        28

   22

    25

        23

   25

    24

        30

   17

    19

        27

   23

    30

   The given f - statistic is 2.04.

 

The anova table from excel software is given by

           

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Between Groups

55.16667

2

27.58333

2.039014

0.186059

4.256495

Within Groups

121.75

9

13.52778

Total

176.9167

11

 

 

 

 

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