statistics

An analysis of variance is used to evaluate the mean differences for a research study
comparing three treatments with a separate sample of n = 6 in each treatment. If the data
produce an F-ratio of F = 4.10, then which of the following is the correct statistical decision?

a. Reject the null hypothesis with α = .05 but not with α = .01.
b. Reject the null hypothesis with either α = .05 or α = .01.
c. Fail to reject the null hypothesis with either α = .05 or α = .01.
d. There is not enough information to make a statistical decision.

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  1. The critical value of F1 = F (0.05, 2, 15) = 3.68 and F2 =F (0.01, 2, 15) = 6.35.
    As F = 4.10 > F1 but < F2, Reject the null hypothesis with á = .05 but not with á = .01.
    (a) is the correct choice.

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