Please answer all questions!

13,21,31 most important

QUESTION 21 ANOVA: In the 2-factor ANOVA table presented below, what is the statistic is the interaction at the Source of Variation Mean Square Sumns of Squares (SS) 512.8667 Degrees of Freedom (1) 2 Treatment 256.4333 28.283 0.000 Education 449.4667 4 112.3667 12.393 0.000 Treatment Education 143.1333 B 17.8917 0.122 Error 136.0000 15 9.0667 Total 1497.9 29 1.973 QUESTION 22 Valid statistical inferences are more likely when: A. The population is heterogeneous OB. Random samples are used OC. The sample size is small OD. None are correct O E. All are correct QUESTION 31 Nonparametric A small pilot study is run to compare a new drug for chronic pain to one that is currently available. Participants are randomly assigned to receive either the new drug or the currently available drug and report improvement in pain on a 5-point ordinal scale: 1-Pain is much worse, 2-Pain is slightly worse, 3- No change, 4-Pain improved slightly, 5-Pain much improved. Is there a significant difference in self- reported improvement in pain? Use the Mann-Whitney U test with a 54 level of significance. New Drug 3 3 4 2 Standard Drug: 2 3 1 3 Based on the evidence, what is the most appropriate statement? 4 2 OA B. Reject Ho, we have significant evidence, (-0.05, to show that the populations of self-reported improvement in pain are not equal between treatments. Accept Ho, we do not have significant evidence, G=0.05, to show that the populations of self-reported improvement in pain are not equal between treatments Accept Ho, we have significant evidence, 6-0.05. to show that the populations of self-reported improvement in pain are not equal between treatments. Reject Ho, we do not have significant evidence, G-0.05. to show that the populations of self-reported improvement in pain are not OD equal between treatments. QUESTION 13 ANOVA: A dinical trial is run to assess the effects of different forms of ingular con levels in poween the ages of in and 29. Partidpants in the study are randomly assigned to one of three werde groups - Weloft training, Aerobic de or Stretching/Yoga - and instructed to follow the program for 8 weeks. Their Hol levels are measured after weeks and are summarized below. Group 2: Aerobic Exercise Group 3: Stretching/Yoga Table 1. Group characteristics Group 1: Weight Training n 15 Mean 49.7 Overall mean=49.9 15 43.1 15 57.0 dr MS F Table 2: ANOVA SS Between SSB Error 7286.5 K-1 MSB N- k MSE We will be trying to figure out if there a significant difference in mean HDL levels among the exercise groups. Based on the evidence, it is appropriate to reject the null hypothesis? True False