Chapter 12.4, Problem 1LC

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

# A researcher obtains F = 4.10 with df = 2, 14. Is this value sufficient to reject H0 with α = .05? Is it big enough to reject H0  if α = .01?

To determine
Whether the given F-value is sufficient to reject H0 with α=0.05 or for α=0.01.

Explanation

Given info:

The F-value obtained for a study is 4.10 with degrees of freedom 2, 14

Calculation:

Critical value:

From the table of F-values with dfnumerator=2 and dfdenominator=14, criticalÂ value=3.74 with Î±=0.05.

From the table of F-values with dfnumerator=2 and dfdenominator=14, criticalÂ value=6.51 with Î±=0.01.

Decision rule:

If F-valueâ‰ĄcriticalÂ value, then reject the null hypothesis H0

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