Show ALL work. By doing so, you will get better feedback AND potential partial credit if the answer is incorrect. Show all formulas and appropriate notations. Label and show ALL WORK BY HAND. WORK PERFORM ED ON A COMPUTER (especially math, formulas, and notations), WILL NOT BE ACCEPTED. Point value is noted on each question. 1. Let's pretend that a study was conducted regarding the effect of carbohydrate reduction on weight loss. The total amount of carbohydrate reduction was different for participants in three conditions: I 40 grams a day, II 30 Grants 3 day, III 20 grams a day. Each ofthe conditions was tested with 10 participants in each group. a. Identify the total N for the sample population. (1 pt) b. What is the df for N? (1 pt) c. What is k numerically? Identify in narrative form what levels make up \"It\". (2 pts) d. Suppose the researchers ran an ANOVA on the results. Complete the table. (3 pts) e. Using the F-distribution table, what is the corresponding critical F-value (o. : .05 )'? Write up your F (dfs) (2 pt) f. Would the results of the above ANOVA be significant at the .05 alpha level? Based on these results alone, what can we conclude about the average carbohydrate intake on weight loss? (be careful with your wording for what you currently know at this point with what you have calculated). (3 pts) Show ALL work. By doing so, you will get better feedback AND potential partial credit if the answer is incorrect. Show all formulas and appropriate notations. Label and show ALL WORK BY HAND. WORK PERFORM ED ON A COMPUTER (especially math, formulas, and notations), WILL NOT BE ACCEPTED. Point value is noted on each question. 1. Let's pretend that a study was conducted regarding the effect of carbohydrate reduction on weight loss. The total amount of carbohydrate reduction was different for participants in three conditions: I 40 grams a day, II 30 Grants 3 day, III 20 grams a day. Each ofthe conditions was tested with 10 participants in each group. a. Identify the total N for the sample population. (1 pt) b. What is the df for N? (1 pt) c. What is k numerically? Identify in narrative form what levels make up \"It\". (2 pts) d. Suppose the researchers ran an ANOVA on the results. Complete the table. (3 pts) e. Using the F-distribution table, what is the corresponding critical F-value (o. : .05 )'? Write up your F (dfs) (2 pt) f. Would the results of the above ANOVA be significant at the .05 alpha level? Based on these results alone, what can we conclude about the average carbohydrate intake on weight loss? (be careful with your wording for what you currently know at this point with what you have calculated). (3 pts) 2 g. Compute n2 as a measure of effect size. What does effect size mean? (Be sure that you include your evaluation of the effect and % of variables explained) (3 pts) h. Run a Tukey's Post Hoc HSD. Be sure to indicate the HSD and use a table/grid to illustrate which comparisons are statistically significant and which are not. (2 pts) I - 40 Grams II - 30 Grams III - 20 Grams Mean Reaction Time 5 6 n 10 10 10 i. Write up all of your results from Parts a-h in standard format. (3 pts)