Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
4th Edition
ISBN: 9780128045251
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
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Chapter 3, Problem 24E
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Testing a claim about a population mean: t-Test
An overly involved "neighborhood watch" group has been investigating the length of lawns. In years past,
lawns had been mowed to a mean length of 2.4 inches.
A recent random sample of lawn lengths is given below. Conduct an appropriate test, at a 5% significance
level, to determine if the overall mean lawn length is now higher than 2.4 inches.
Data (lawn lengths, measured in inches):
4.35 3.73 3.35 2.75 2.96 1.97 2.02
3.68 3.61 3.87 3.92 4.50 3.66 3.60
3.01 4.34 4.23
4.95
2.97
Checksum: 67.47
Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the
file, you may want to save it as an Excel Workbook.
A. Consider the parameter of interest and choose the correct alternative hypothesis.
Ομ = 2.4
Ο μ > 2.4
Op 2.4
Ομ < 2.4
Ομ Σ 2.4
Ομ 5 2.4
B. Are the necessary conditions present to carry out this inference procedure? Explain in context.
Yes. Our sample was not larger than 30 in size, but the…
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formula and a similar problem.
A researcher believes a new diet will have a positive impact on the health of adult lab mice but the effects
on the weight of the mice are unknown.
A sample of 10 mice was obtained and the mice were weighed before and after the diet treatment. Listed
below are the measurement results:
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Mouse
Before(g) After(g)
Difference(g)
1
37.8
37.5
0.3
2
38.2
37.6
0.6
3
36.6
35.2
1.4
4
36.6
35.4
1.2
5
37.6
37.1
0.5
6
38.1
37.3
0.8
7
36.4
35
1.4
8
35.9
34.6
1.3
9
35.3
34.9
0.4
10
40.1
39.2
0.9
Click this button to reveal the summary of data. Click again to collapse it.
Average
Standard deviation
Before(g) After(g) Difference(g)
37.26
1.39
36.38
1.55
0.88
0.42
Click Download CSV to download csv file of data or copy/paste the data into Excel. After downloading the
file, you may want to save it as an Excel Workbook.
Use 5% level of significance to decide whether…
Does 10K running time increase when the runner listens to music? Nine runners were timed as they ran a
10K with and without listening to music. The running times in minutes are shown below.
With
Music
Without
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57 40 39 60 58 47 50 42 45
58 36 39 51 56 50 52 41 41
Assume a Normal distribution. What can be concluded at the the a 0.10 level of significance?
For this study, we should use t-test for the difference between two dependent population means
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a. The null and alternative hypotheses would be:
Houd
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(please enter a decimal)
H₁ ud
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(Please enter a decimal)
b. The test statistic
=
(please show your answer to 3 decimal places.)
c. The p-value
(Please show your answer to 4 decimal places.)
d. The p-value is >v
a
e. Based on this, we should fail to reject
f. Thus, the final conclusion is that ...
the null hypothesis.
The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude
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Chapter 3 Solutions
Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving
Chapter 3, Problem 3.1PChapter 3, Problem 3.2PChapter 3, Problem 3.3PChapter 3, Problem 3.4PChapter 3, Problem 3.5PChapter 3, Problem 3.6PChapter 3, Problem 3.7PChapter 3, Problem 3.8PChapter 3, Problem 3.9PChapter 3, Problem 3.10P
Chapter 3, Problem 1EChapter 3, Problem 2EChapter 3, Problem 3EChapter 3, Problem 4EChapter 3, Problem 5EChapter 3, Problem 6EChapter 3, Problem 7EChapter 3, Problem 8EChapter 3, Problem 9EChapter 3, Problem 10EChapter 3, Problem 11EChapter 3, Problem 13EChapter 3, Problem 12EChapter 3, Problem 17EChapter 3, Problem 14EChapter 3, Problem 15EChapter 3, Problem 16EChapter 3, Problem 19EChapter 3, Problem 18EChapter 3, Problem 20EChapter 3, Problem 21EChapter 3, Problem 25EChapter 3, Problem 27EChapter 3, Problem 22EChapter 3, Problem 23EChapter 3, Problem 24EChapter 3, Problem 26EChapter 3, Problem 28EChapter 3, Problem 29EChapter 3, Problem 30EChapter 3, Problem 31EChapter 3, Problem 32EChapter 3, Problem 33EChapter 3, Problem 35EChapter 3, Problem 34E
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