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 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 determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value =
Solutions
orchestra answered 1 year agoRelated Solutions
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...
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,...
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
(kg/25 mm width) is greater for unabraded fabrics versus fabrics
that were abraded. Abraded fabrics are produced by the use of
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
measurements were taken for all of the fabric...
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
(kg/25 mm width) is greater for unabraded fabrics versus fabrics
that were abraded. Abraded fabrics are produced by the use of
friction to produce surface wear on the fabric. The manufacturer
randomly selected equal-sized sections of 21 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
measurements were taken for all of the fabric...
The data file contains displacement (in mm)-load (in N) data for a mechanical test that was...
The data file contains displacement (in mm)-load (in N) data for
a mechanical test that was conducted on an unknown metal. The
initial length and diameter of the specimen are also given.
a. (5 pts.) Using the data and a computer program (such as
Excel), create an engineering stress-engineering strain graph with
proper labels. The stress axis should be in the units of MPa. You
do not need to show your spreadsheet or software code used to make
the graph....
Consider the accompanying 2 × 3 table displaying the sample proportions that fell in the various...
Consider the accompanying 2 × 3 table displaying the sample
proportions that fell in the various combinations of categories
(e.g., 12% of those in the sample were in the first category of
both factors).
1
2
3
1
0.12
0.20
0.27
2
0.08
0.11
0.22
(a) Suppose the sample consisted of n = 100 people. Use
the chi-squared test for independence with significance level 0.10.
State the appropriate hypotheses
.H0:
pij =
pi
pj
for every pair (i, j)
Ha:...
Which requires more work, lifting a 25 -kg load a vertical distance of 8.5 meters or...
Which requires more work, lifting a 25 -kg load a vertical
distance of 8.5 meters or lifting a 15-kg load a vertical distance
of 17 m?
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
measurements to construct a frequency distribution with five
classes. Begin with a lower class limit of
127.7127.7
volts, and use a class width of 0.2 volt. Does the result
appear to have a normal distribution? Why or why not?
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...
The accompanying table provides the data for 100 room
inspections at each of 25 hotels in a major chain. Management would
like the proportion of nonconforming rooms to be less than 2%.
Formulate a one-sample hypothesis test for a proportion and
perform the calculations using the correct formulas and Excel
functions. Use a level of significance of 0.05.
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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