Using One-Factor ANOVA with 30 Observations,we Find at α =

question 52

Multiple Choice

Using one-factor ANOVA with 30 observations,we find at α = .05 that we cannot reject the null hypothesis of equal means.We increase the sample size from 30 observations to 60 observations and obtain the same value for the sample F-test statistic.Which is correct?

• A)We might now be able to reject the null hypothesis.
• B)We surely must reject H0 for 60 observations
• C)We cannot reject H0 since we obtained the same F-value.
• D)It is impossible to get the same F-value for n = 60 as for n = 30.

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Definitions:

Degrees of Freedom

The number of independent pieces of information used in the calculation of a statistic, often impacting the critical values in hypothesis testing.

Two Tailed Test

A statistical test that evaluates the possibility of a relationship in both directions, allowing for the rejection of a null hypothesis for extreme values at either end of the probability distribution.

Test-statistic

A value calculated from sample data during a hypothesis test, used to determine whether to reject the null hypothesis.

Right Tailed Test

A statistical hypothesis test where the area of interest is in the right tail of the probability distribution.