You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: Md ≤o Ha: Md > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1- Population 2.) Population Element 1 2 3 4 5 (b) Compute d. 1 21 28 18 20 26 2 19 25 15 19 25 (c) Compute the standard deviation sd. Difference
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: Md ≤o Ha: Md > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1- Population 2.) Population Element 1 2 3 4 5 (b) Compute d. 1 21 28 18 20 26 2 19 25 15 19 25 (c) Compute the standard deviation sd. Difference
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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Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Consider the following hypothesis test.
Ho: Md ≤0
Ha: Md > 0
(a) The following data are from matched samples taken from two populations. Compute the difference value for each element.
(Use Population 1 Population 2.)
Population
Element
1
2
3
4
(b) Compute d.
=
5
U
21
28
18
20
26
2
19
25
15
19
25
(c) Compute the standard deviation sd.
Difference
(d) Conduct a hypothesis test using a = 0.05.
Calculate the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value
What is your conclusion?
Do not reject Ho. There is insufficient evidence to conclude that µd > 0.
Do not Reject Ho. There is sufficient evidence to conclude that µ > 0.
Reject Ho. There is sufficient evidence to conclude that Md > 0.
Reject Ho. There is insufficient evidence to conclude that µ > 0.
Transcribed Image Text:Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services.
Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of
service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B
has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean
service rating.
Consultant A
n₁ = 16
X₁ = 6.84
S1
= 0.64
Ha: M₁
Ho: M₁
Ha: M₁
-
(a) State the null and alternative hypotheses.
Ho: M₁
M₂ > 0
M₂ ≤ 0
M₂ ≤ 0
M₂ > 0
о но: М1-12=0
На: M1 - M2# 0
Ho: M₁ M₂ ≤0
H₂: M₁
M₂ = (
0
Consultant B
Ho: M₁ M₂ #0
Ha: μ₁ −μ₂ =
= 0
= 10
7₂
x₂ = 6.25
= 0.75
$₂=
(b) Compute the value of the test statistic. (Round your answer to three decimal places.)
(c) What is the p-value? (Round your answer to four decimal places.)
p-value =
(d) What is your conclusion?
Reject Ho
There is insufficient evidence to conclude that the consultant with more experience has a higher population
mean rating.
Reject Ho. There is sufficient evidence to conclude that the consultant with more experience has a higher population
mean rating.
Do not reject Ho. There is insufficient evidence to conclude that the consultant with more experience has a higher
population mean rating.
O Do not Reject Hỏ. There is sufficient evidence to conclude that the consultant with more experience has a higher
population mean rating.
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there are missing...
(d)
Conduct a hypothesis test using
? = 0.05.
Calculate the test statistic. (Round your answer to three decimal places.)
Calculate the p-value. (Round your answer to four decimal places.)
p-value =
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