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##### Maths Multiple Problems and true false with Correct Solution

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Question;1. In;analysis of variance, the term factor refers to;a. Dependent;variable;b. Independent;(or quasi-independent) variable;c. Treatment;mean;d. Treatment;total;2. When;comparing more than two treatment means, why should you use an analysis of;variance instead of using several t tests?;a. Using;several t tests increases the risk of a Type I error;b. Using;several t tests increases the risk of a Type II error;c. The;analysis of variance is more likely to detect a treatment effect;d. There is;no advantage to using an analysis of f variance instead of several t tests;3. If the;null hypothesis is true and there is no treatment effect, what value is;expected on average for the F-ratio?;a. 0;b. 1.00;c. k ? 1;d. N ? k;4. For an;F-ratio with df = 2, 10, the critical value for a hypothesis test using a =.05;would be;a. 4.10;b. 7.56;c. 19.39;d. 99.40;5. In;analysis of variance, the magnitude of the sample variances will contribute to;a. The;numerator of the F-ratio;b. The;denominator of the F-ratio;c. Both the;numerator and the denominator of the F-ratio;d. The;sample variances do not influence the F-ratio;6. In an;analysis of variance, which of the following is directly influenced by the size;of the sample variances?;a. SSbetween;b. SSwithin;c. SStotal;d. All three;SS values are influenced;7. An;analysis of variance is used to evaluate the mean differences for a research;study comparing 3 treatments with a separate sample of n = 6 in each treatment.;If the data produce an F-ratio of F = 4.10, then which of the following is the;correct statistical decision?;a. Reject;the null hypothesis with a =.05 but not with a =.01;b. Reject;the null hypothesis with either a =.05 or a =.01;c. Fail to;reject the null hypothesis with either a =.05 or a =.01;d. There is;not enough information to make a statistical decision.;8. A;researcher obtains an F-ratio with df = 2, 36 from an independent-measures;research study. What is the total number of individuals who participated in;this study?;a. 3;b. 37;c. 39;d. 40;9. An;analysis of variance produces SSwithin = 40 and SStotal = 70. In this analysis;what is the value of SSbetween?;a. 30;b. 40;c. 110;d. Cannot be;determined without additional information;10. In an;independent-measures experiment with 3 treatment conditions, all 3 treatments;have the same mean, M1 = M2 = M3. For these data, what is SSbetween?;a. 0;b. 1.00;c. 3 (5.50);d. Cannot be;determined from the information given;11. An F-ratio;near 1.00 is an indication that there are no significant treatment effects.;a. True;b. False;12. The;critical region for the F-ratio from an analysis of variance is located;entirely in one tail of the distribution.;a. True;b. False;13. It is;impossible to obtain a negative value for an F-ratio.;a. True;b. False;14. Under what;circumstances are post (hoc) tests necessary?;a. When you;reject the null hypothesis with exactly 2 treatment conditions.;b. When you;reject the null hypothesis with more than 2 treatment conditions.;c. When you;fail to reject the null hypothesis with exactly 2 treatment conditions.;d. When you;fail to reject the null hypothesis with more than 2 treatment conditions.;15. Post (hoc);tests are used to determine how much difference there is between treatment;conditions.;a. True;b. False;16. Which of;the following is an important advantage of a repeated-measures study?;a. A;different sample of subjects serves in each treatment making it possible to;compare different populations.;b. Individual;differences do not contribute to the analysis, thereby reducing unsystematic;and unpredicted error.;c. A larger;number of subjects generally is required, which provides a better glimpse of;the population.;d. All of;the options are advantages.;17. For a;repeated-measures ANOVA, why aren?t individual differences a source of;variability for the numerator of the F-ratio?;a. They are;measured and subtracted out.;b. The same;individuals participate in all of the treatment conditions.;c. The;individual differences are canceled out by the individual differences in the denominator.;d. Individual;difference are a source of variability in the numerator.;18. The;analysis of total variability into between-treatments and within-treatments;variability is the same for a repeated-measures ANOVA and an;independent-measures ANOVA.;a. True;b. False;19. In the;second stage of analysis for the repeated-measures ANOVA, individual;differences are removed from the denominator of the F-ratio.;a. True;b. False;20. The first;stage of a repeated-measures ANOVA is identical to the analysis in an;independent-measures ANOVA.;a. True;b. False;21. A;repeated-measures analysis of variance for a study comparing three treatments;with a sample of n = 8 participants produces an F-ratio of F = 6.60. For this;result, which of the following is the correct statistical decision?;a. Reject the null hypothesis with a =.05 but not with a =;.01;c. Reject;the null hypothesis with either a =.05 or a =.01;d. Fail to;rejec

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