A task requires the completion of four activities. A teacher would like to know if differences in the sequence of the four activities results in different task completion times. The teacher selects three students and demonstrates the activities in random order to the students. Then each student completes the task with each of the activity sequences. The completion times are recorded. The following table shows the minutes for each student to complete each task. Students (minutes) Sequence Allen Carla Henry A 22.0 20.9 21.1 B 16.3 19.0 20.5 C 18.6 21.2 21.3 D 20.9 17.3 20.3 Click here for the Excel Data File. a-1. Identify the right option for Treatments (Students). Null hypothesis: H0: μA = μC = μH H0: μA ≠ μC ≠ μH multiple choice 1 a b Alternate hypothesis: multiple choice 2 All means are the same. Not all means are the same. a-2. Identify the right option for Blocks (Sequence). Null hypothesis: H0: μA ≠ μB ≠ μC ≠ μD H0: μA = μB = μC = μD multiple choice 3 a b Alternate hypothesis: multiple choice 4 Not all means are the same. All means are the same. b. What are the test statistics? (Round your answers to 4 decimal places.) c. What are the p-values? (Round your answers to 4 decimal places.) d. Using a 0.01 significance level, what is your decision regarding the null hypotheses? e-1. Interpret the result for treatments. e-2. Interpret the result for blocks.

Name: A task requires the completion of four activities. A teacher would lik
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Description: A task requires the completion of four activities. A teacher would like to know if differences in the sequence of the four activities results in different task completion times. The teacher selects three students and demonstrates the activities in ra

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A task requires the completion of four activities. A teacher would like to know if differences in the sequence of the four activities results in different task completion times. The teacher selects three students and demonstrates the activities in random order to the students. Then each student completes the task with each of the activity sequences. The completion times are recorded. The following table shows the minutes for each student to complete each task.

	Students (minutes)
Sequence	Allen	Carla	Henry
A	22.0	20.9	21.1
B	16.3	19.0	20.5
C	18.6	21.2	21.3
D	20.9	17.3	20.3

Click here for the Excel Data File.

a-1. Identify the right option for Treatments (Students).

Null hypothesis:

H₀: μ_A = μ_C = μ_H
H₀: μ_A ≠ μ_C ≠ μ_H

multiple choice 1

Alternate hypothesis:

multiple choice 2

All means are the same.
Not all means are the same.

a-2. Identify the right option for Blocks (Sequence).

Null hypothesis:

H₀: μ_A ≠ μ_B ≠ μ_C ≠ μ_D
H₀: μ_A = μ_B = μ_C = μ_D

multiple choice 3

Alternate hypothesis:

multiple choice 4

Not all means are the same.
All means are the same.

b. What are the test statistics? (Round your answers to 4 decimal places.)

c. What are the p-values? (Round your answers to 4 decimal places.)

d. Using a 0.01 significance level, what is your decision regarding the null hypotheses?

e-1. Interpret the result for treatments.

e-2. Interpret the result for blocks.

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