Question
In: Statistics and Probability
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an...
Consider the accompanying data on breaking load (kg/25 mm width)
for various fabrics in both an unabraded (U) condition and an
abraded (A) condition.
Use the paired t test to test:
H0: μD = 0 versus
Ha: μD >
0
at significance level 0.01. (Use μD =
μU-A.)
Note: The data below is formatted such that you can copy and
paste it into R.
| Fabric | ||||||||
|---|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| U = c( | 36.5, | 55.0, | 51.2, | 38.7, | 43.2, | 48.8, | 25.6, | 49.6) |
| A = c( | 28.5, | 20.0, | 46.0, | 34.0, | 36.5, | 52.5, | 26.5, | 46.5) |
Calculate the mean difference and standard deviation.
| d = | |
| sd = |
Compute the test statistic value. (Round your answer to three
decimal places.)
t =
p-value =
State the conclusion in the problem context.
Reject H0. The data suggests a significant mean difference in breaking load for the two fabric load conditions.Fail to reject H0. The data suggests a significant mean difference in breaking load for the two fabric load conditions. Reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.Fail to reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
Solutions
Expert Solution
Let us denote the difference
d = U - A
The conclusion in the problem context :
Fail to reject H0. The data does not suggest a significant mean difference in breaking load for the two fabric load conditions.
orchestra answered 1 year agoRelated Solutions
Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both an...
Consider the accompanying data on breaking load (kg/25 mm width)
for various fabrics in both an unabraded condition and an abraded
condition. Use the paired t test to test
H0: μD = 0 versus
Ha: μD > 0 at
significance level 0.01. (Use μD =
μU − μA.)
Fabric
1
2
3
4
5
6
7
8
U
36.5
55.0
51.3
38.5
43.2
48.8
25.6
49.8
A
28.5
20.0
46.0
34.5
36.5
52.5
26.5
46.5
Calculate the test statistic and...
A) Consider the accompanying data on breaking load (kg/25 mm width) for various fabrics in both...
A)
Consider the accompanying data on breaking load (kg/25 mm width)
for various fabrics in both an unabraded condition and an abraded
condition. Use the paired t test to test
H0: μD = 0 versus
Ha: μD > 0 at
significance level 0.01. (Use μD =
μU − μA.)
Fabric
1
2
3
4
5
6
7
8
U
36.2
55.0
51.5
38.9
43.2
48.8
25.6
49.5
A
28.5
20.0
46.0
34.5
36.0
52.5
26.5
46.5
Calculate the test statistic...
A textile manufacturer wanted to know if the breaking load (kg/25 mm width) is greater for...
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friction to produce surface wear on the fabric. The manufacturer
randomly selected equal-sized sections of 13 of their fabrics. Each
section was then equally divided into two pieces, with the abrasion
process being applied to one of them. The tensile strength
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A textile manufacturer wanted to know if the breaking load (kg/25 mm width) is greater for...
A textile manufacturer wanted to know if the breaking load
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1
2
3
1
0.12
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(a) Suppose the sample consisted of n = 100 people. Use
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State the appropriate hypotheses
.H0:
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pj
for every pair (i, j)
Ha:...
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Refer to the accompanying data set and use the 25 home voltage measurements to construct a...
Refer to the accompanying data set and use the 25 home voltage
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127.7127.7
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LOADING...
Click the icon to view the data.
Complete the frequency distribution below.
Voltage (volts)
Frequency
127.7127.7minus−nothing
nothing
nothingminus−nothing
nothing
nothingminus−nothing
nothing
nothingminus−nothing
nothing
nothingminus−nothing
nothing
(Type integers or...
The accompanying table provides the data for 100 room inspections at each of 25 hotels in...
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Formulate a one-sample hypothesis test for a proportion and
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Sample
Rooms Inspected
Nonconforming Rooms
Fraction Nonconforming
1
100
4
0.04
2
100
1
0.01
3
100
0
0
4
100
1...
Question 1: Refer to accompanying data set and use the 25 home voltage measurements to construct...
Question 1: Refer to accompanying data set and use the
25 home voltage measurements to construct a frequency distribution
with five classes. Begin with a lower class limit of 121.7 volts,
and use a class width of 0.2 volt. Does the result appear to have a
normal distribution? Why or why not?
Voltage Measurements from a Home
Day
Home (volts)
Day
Home (volts)
Day
Home (volts)
Day
Home (volts)
1
121.9
8
121.9
14
122.3
20
122.6
2
122.4...
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