Question

4. ( Just true or false for each, no need for explanation,thank you)

a.If factors being studied cannot be controlled, the data are said to be observational.True or False

b.After rejecting the null hypothesis of equal treatments, a researcher decided to compute a 95 percent confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on Tukey's procedure. At α = .05, if the confidence interval includes the value of zero, then we can reject the hypothesis that the two population means are equal.True or False

c.The error sum of squares measures the between-treatment variability.True or False

d.In one-way ANOVA, a large value of F results when the within-treatment variability is large compared to the between-treatment variability.True or False

e.In one-way ANOVA, other factors being equal, the further apart the treatment means are from each other, the more likely we are to reject the null hypothesis associated with the ANOVA F test. True or False

Answer 1

a.If factors being studied cannot be controlled, the data are said to be observational.

True

b.After rejecting the null hypothesis of equal treatments, a researcher decided to compute a 95 percent confidence interval for the difference between the mean of treatment 1 and mean of treatment 2 based on Tukey's procedure. At α = .05, if the confidence interval includes the value of zero, then we can reject the hypothesis that the two population means are equal.

True

c.The error sum of squares measures the between-treatment variability.

False ( treatment sum of squares measures )

d.In one-way ANOVA, a large value of F results when the within-treatment variability is large compared to the between-treatment variability.

False ( F is MST / MSE )

e.In one-way ANOVA, other factors being equal, the further apart the treatment means are from each other, the more likely we are to reject the null hypothesis associated with the ANOVA F test.

True

(Not sure about b answer )