STATISTICS

ANOVA, ANCOVA, REGRESSION, RSTUDIO

Directions: Answer the following questions inside the picture and choose the correct answer. Explain why it is the correct answer. All the details for the question is indicated in the picture for each number.

1.

Suppose that an experiment on cognitive behavioral modification for children, especially their reaction (in seconds) to the question, "Who wants to a people helper when you are a grownup?" is planned. Listed in Table I are the reaction times for 3 third graders from three separate schools. Perform an ANOVA at 0.05 level of significance. Table 1. Reaction Time (seconds) Schooll School 2 School 3 5 10 7 15 12 17 2 10 18 The computed value of fis a. 0.027 b. 0.021 C. 0.025 d. 0.028A Q-Q plot (or quantile-quantile plot) draws the correlation between a given sample and the normal distribution. It is used to check visually if the given the data follows the normal distribution. Suppose a Q-Q plot is given below: 40 sample 20 theoretical What is the correct interpretation of the Q-Q plot? I. As all the points fall approximately along this reference line, we cannot assume normality. II. As all the points fall approximately along this reference line, we can assume normality. III. As some of the points fall approximately along this reference line, we cannot assume normality. IV. As some of the points fall approximately along this reference line, we can assume normality. a. I only b. II only c. III only d. IV onlyThree strains of rats were studied under two environmental conditions for their performance in a maze test. The error scores for the 48 rats were recorded as follows: Environment Strain Bright Mixed Dull Free 28 12 33 83 101 94 22 23 36 14 3.3 56 25 10 41 76 122 83 36 22 58 35 23 Restricted 72 12 GO 89 136 120 48 93 35 126 38 153 25 31 83 110 64 128 91 19 99 118 140 At 0.01 level of significance, which of the following null hypothesis/hypotheses is/are rejected? I. There is no difference in error scores for different environment. II. There is no difference in error scores for different strains. III, The environments and strains of rats do not interact. a. I only b. II only c. Both I and II d. All of the above