Answer :
Final answer:
An F statistic of 69 in an experiment with 4 groups and 42 observations per group would be considered 'huge', indicating strong evidence against the null hypothesis, and the potential for its rejection based on the one-way ANOVA test.
Explanation:
The question asked pertains to the interpretation of an F statistic from an experiment with 4 groups and 42 observations in each group, where the F statistic is 69. When performing a one-way ANOVA test, the F statistic is used to determine whether any of the group means are significantly different from each other. This is a hypothesis test where the null hypothesis usually states that all group means are equal. The effect size mentioned is 0.625, which by Cohen's standards falls between a medium (0.5) and a large (0.8) effect size. Moreover, a high F statistic typically indicates a lower p-value, leading to the potential rejection of the null hypothesis if the p-value is less than the chosen significance level.
Considering the given F statistic of 69 is relatively high, it suggests strong evidence against the null hypothesis and may be termed as 'huge'. This can be seen in comparison to example F statistics provided in other scenarios, and by the fact that F statistics are always greater than or equal to zero.
