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* please show work** The value of the test statistic in a one-way ANOVA was foun

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Question

* please show work**

The value of the test statistic in a one-way ANOVA was found to be f = 6.29. There were six groups that were compared, and the total sample size was 16. If we were to use the p-value approach to perform the hypothesis test, what could we say about the p-value? Hint: in the F table, locate the appropriate degrees of freedom and then refer to the various values of that the table gives you. Then, the relationship between a p-value and .

it would be between 0.010 and 0.025.

it would be less than 0.001

it would be between 0.001 and 0.01

it would be greater than 0.10.

it would be between 0.025 and 0.050.

it would be greater than 0.05

a)

it would be between 0.010 and 0.025.

b)

it would be less than 0.001

c)

it would be between 0.001 and 0.01

d)

it would be greater than 0.10.

e)

it would be between 0.025 and 0.050.

f)

it would be greater than 0.05

Explanation / Answer

here degree of freedom for b/w groups =6-1=5

and degree of freedom for with in groups =16-5-1=10

hence from F table ; for 5 and 10 degree of freedom with F stat 6.29 ; p value =0.0069

it would be between 0.001 and 0.01

c)

it would be between 0.001 and 0.01