Question

Consider the experimental results for the following randomized block design.

		Tasks
		A	B	C
Individuals	1	10	9	8
	2	12	6	5
	3	18	15	14
	4	20	18	18
	5	8	7	8

Suppose that you have an experiment wherein 5 individuals are each receiving training on 3 different tasks (A, B, and C). The values represent the number of minutes taken to complete the task. Suppose further that we are interested in determining whether there is a significant difference in the mean time taken to complete each of the tasks or not. State the name of the design of this experiment and all of the hypotheses that you would test. (Do NOT test.)

Type of test:

Hypotheses:

Answer 1

Type of test: here we use one way analysis of variance for determining whether there is difference in the mean of each task

Hypotheses:

for k number of columns

here we have three columns

hence

Ho: μ₁ = μ₂ = μ₃

H1 : at least two means differ.

test is given below for your understanding.