Question

1.You obtained a significant F ratio when comparing three treatments in a one-way ANOVA. In words, how would you interpret the alternative hypothesis?

A.All three treatments have different effects on the mean response.

B.Exactly two of the three treatments have the same effect on the mean response.

c.At least two treatments are different from each other in terms of their effect on the mean response.

D.The alternative hypothesis should be rejected.

c.None of the above.

2.In a multiple regression analysis, which statistic represents the proportion of the variance in the criterion that is collectively accounted for by the predictors?

a. Beta weight

b. Multiple r squared

c. Multiple r

d. The unstandardized regression coefficient

Answer 1

Solution:-

1) (c) At least two treatments are different from each other in terms of their effect on the mean response.

State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.

Null hypothesis: u₁ = u₂ = u₃

Alternative hypothesis: At-least one of the u is not equal.

For significant F ratio we are rejecting the null hypothesis, hence At least two treatments are different from each other in terms of their effect on the mean response.