Consider the following matched-pairs sample that represents observations before and after an experiment. Assume that the sample differences are normally distributed. (You may find it useful to reference the appropriate table: z table or t table) Before 2.5 1.8 1.4 −2.9 1.2 −1.9 −3.1 2.5 After 2.9 3.1 3.9 −1.8 0.2 0.6 2.5 2.9 Click here for the Excel Data File Hint: The differences are calculated as Xbefore - Xafter. a. Construct the competing hypotheses to determine if the experiment increases the value of the observations.multiple choice 1H0: μD = 0; HA: μD ≠ 0H0: μD ≥ 0; HA: μD < 0H0: μD ≤ 0; HA: μD > 0 b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) c. Find the p-value?multiple choice 2p-value < 0.010.01 ≤ p-value < 0.0250.025 ≤ p-value < 0.050.05 ≤ p-value < 0.10p-value ≥ 0.10 d. What is the conclusion to the hypothesis test? e. Do the results change if we implement the test at a 1% significance level?multiple choice 3YesNo

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Answered: Consider the following matched-pairs…

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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Consider the following matched-pairs sample that represents observations before and after an experiment. Assume that the sample differences are normally distributed. (You may find it useful to reference the appropriate table: z table or t table)


Before	2.5	1.8	1.4	−	2.9	1.2	−	1.9	−	3.1	2.5
After	2.9	3.1	3.9	−	1.8	0.2		0.6		2.5	2.9

Click here for the Excel Data File

Hint: The differences are calculated as Xbefore - Xafter.

a. Construct the competing hypotheses to determine if the experiment increases the value of the observations.

multiple choice 1

H₀: μ_D = 0; H_A: μ_D ≠ 0
H₀: μ_D ≥ 0; H_A: μ_D < 0
H₀: μ_D ≤ 0; H_A: μ_D > 0

b. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

c. Find the p-value?

multiple choice 2

p-value < 0.01
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10

d. What is the conclusion to the hypothesis test?

e. Do the results change if we implement the test at a 1% significance level?

multiple choice 3

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