MATLAB: A Practical Introduction to Programming and Problem Solving
5th Edition
ISBN: 9780128163450
Author: ATTAWAY
Publisher: ELSEVIER
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Chapter 13, Problem 15E
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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:
Click this button to reveal the data. Click again to collapse it.
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
Music
Running Time
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
0
(please enter a decimal)
H₁ ud
0
(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
M365
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Chapter 13 Solutions
MATLAB: A Practical Introduction to Programming and Problem Solving
Chapter 13, Problem 13.2PChapter 13, Problem 13.3PChapter 13, Problem 13.4PChapter 13, Problem 1EChapter 13, Problem 3EChapter 13, Problem 6EChapter 13, Problem 7EChapter 13, Problem 8EChapter 13, Problem 9EChapter 13, Problem 10E
Chapter 13, Problem 11EChapter 13, Problem 13EChapter 13, Problem 14EChapter 13, Problem 15EChapter 13, Problem 16EChapter 13, Problem 17EChapter 13, Problem 19EChapter 13, Problem 21EChapter 13, Problem 23EChapter 13, Problem 24EChapter 13, Problem 25EChapter 13, Problem 26EChapter 13, Problem 28EChapter 13, Problem 29EChapter 13, Problem 34EChapter 13, Problem 35E
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