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An F statistic calculated on 2 and 26 degrees of freedom equals 2.23. Which deci

ID: 3397317 • Letter: A

Question

An F statistic calculated on 2 and 26 degrees of freedom equals 2.23. Which decision would you make about a hypothesis tested at the p 0.05 level?

1.) Fail to reject the null hypothesis and conclude no significant differences are indicated among the groups.

2.) Fail to reject the null hypothesis and conclude there are differences among the groups.

3.) Reject the null hypothesis and conclude no significant differences are indicated among the groups.

4.) Reject the null hypothesis and conclude there are differences among the groups.

Explanation / Answer

Fail to reject the null hypothesis and conclude no significant differences are indicated among the groups.

because the value 2.23 lies in th rejection region

when we set the 5 percentage on th right tail of f distribution the corresponding f table value is 4.2417

and 2.23 is less than that hence we accept our H0: that no significant disserences are there in the groups