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Refer to Exercises 9.17 and 9.18. Complete the following ANOVA table for each of the two dot plots:

Short Answer

Expert verified

The F-ratio for dot plot #1 is 37.5 and for dot plot #2 is 5.21

Step by step solution

01

Given information

Referring to Exercise 9.17

For dot plot #1

The total number of treatments is k=2.

The total number of observations is n=12.

For dot plot #2

The total number of treatments is k=2.

The total number of observations is n=12.

02

ANOVA

The ANOVA helps us to determine whether there is a statistically significant difference between two or more group means, unlike the t-test and z-test, which are limited to testing one or two group means.

03

ANOVA table for dot plot #1

Using all the obtained measurements in Exercise 9.17

Source

df

SS

MS

F

Treatments

k-1=1

75

75

75/2=37.5

Error

n-k=10

20

2

Total

n-1=11

95

77

04

ANOVA table for dot plot #2

Using all the obtained measurements in Exercise 9.17

Source

df

SS

MS

F

Treatments

k-1=1

75

75

75/14.4=5.21

Error

n-k=10

144

14.4

Total

n-1=11

219

89.4

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