Q.1 For each of the following statements, determine whether the conclusion is true or false, and explain why (using no more than 100 words per statement). a. In a one-way (between-subjects) ANOVA, if the observed group means in the sample differ entirely due to random variations (i.e., sampling errors), the critical value for testing the ratio of between-group mean squares to within-group mean squares will depend on the total sample size (among other aspects). b. A researcher conducted an independent-samples t-test to test his research hypothesis, and obtained a very small p-value which is less than .001. This implies that the probability of type 1 error (i.e., falsely rejecting a true null hypothesis) is less than .1%, assuming no flaws in data collection and analysis. c. A significant result (i.e., p<.05) from a one-way (between-subjects) ANOVA implies that the means of the groups are all different from one another in the population.
Q.1 For each of the following statements, determine whether the conclusion is true or false, and explain why (using no more than 100 words per statement).
a. In a one-way (between-subjects) ANOVA, if the observed group means in the sample differ entirely due to random variations (i.e., sampling errors), the critical value for testing the ratio of between-group mean squares to within-group mean squares will depend on the total
b. A researcher conducted an independent-samples t-test to test his research hypothesis, and obtained a very small p-value which is less than .001. This implies that the
c. A significant result (i.e., p<.05) from a one-way (between-subjects) ANOVA implies that the means of the groups are all different from one another in the population.
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