The question is #7 but i think we have to use the data from questin 37 ins section 9.3 so there screenshots attached Use the large-sample version of the Wilcoxon test atsignificance level .05 on the data of Exercise 37 inSection 9.3 to decide whether the true mean differencebetween outdoor and indoor concentrations exceeds .20. 36. Consider the accompanying data on breaking load(kg/25 mm width) for various fabrics in both anunabraded condition and an abraded condition ("TheEffect of Wet Abrasive Wear on the Tensile Propertiesof Cotton and Polyester-Cotton Fabrics," J. Testingand Evaluation, 1993: 84-93). Use the paired t test, asdid the authors of the cited article, to test Ho: p= 0versus H₂: >0 at significance level .01.123142 3FabricIndoor .07 .08 .09Outdoor .29 .68 .47549.8U 36.4 55.0 51.5 38.7 43.2 48.8 25.6A 28.5 20.0 46.0 34.5 36.5 52.5 26.5 46.537. Hexavalent chromium has been identified as aninhalation carcinogen and an air toxin of concern in anumber of different locales. The article "AirborneHexavalent Chromium in Southwestern Ontario" (J.of Air and Waste Mgmnt. Assoc., 1997: 905-910) gavethe accompanying data on both indoor and outdoorconcentration (nanograms/m³) for a sample of housesselected from a certain region.House46578.12 .12 .12 .13.54 .97 .35 .496 7 89.14.15.84.86IndoorOutdoorIndoorOutdoorIndoorOutdoor10 11 12 13 14 15 16 17.15 .17 .17 .18.28 .32 .32 1.5518 19House2026 27 28House21.20 22 .22 .231.59 .90 .52 .12House29.18.66.18 .18 .19.29 .21 1.0222 2324 25.23 .25 .26 .28.54 .88.49 1.2430 31 32 33.28 .29 .34 .39 .40 .45 .54 .62.48 .27 .37 1.26 .70 .76 .99 .36a. Calculate a confidence interval for the populationmean difference between indoor and outdoor con-centrations using a confidence level of 95%, andinterpret the resulting interval.b. If a 34th house were to be randomly selected fromthe population, between what values would you pre-dict the difference in concentrations to lie?38. Adding computerized medical images to a databasepromises to provide great resources for physicians.

Answered: Use the large-sample version of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The question is #7 but i think we have to use the data from questin 37 ins section 9.3 so there screenshots attached

Use the large-sample version of the Wilcoxon test at
significance level .05 on the data of Exercise 37 in
Section 9.3 to decide whether the true mean difference
between outdoor and indoor concentrations exceeds .20.

36. Consider the accompanying data on breaking load
(kg/25 mm width) for various fabrics in both an
unabraded condition and an abraded condition ("The
Effect of Wet Abrasive Wear on the Tensile Properties
of Cotton and Polyester-Cotton Fabrics," J. Testing
and Evaluation, 1993: 84-93). Use the paired t test, as
did the authors of the cited article, to test Ho: p= 0
versus H₂: >0 at significance level .01.
1
2
3
1
4
2 3
Fabric
Indoor .07 .08 .09
Outdoor .29 .68 .47
5
49.8
U 36.4 55.0 51.5 38.7 43.2 48.8 25.6
A 28.5 20.0 46.0 34.5 36.5 52.5 26.5 46.5
37. Hexavalent chromium has been identified as an
inhalation carcinogen and an air toxin of concern in a
number of different locales. The article "Airborne
Hexavalent Chromium in Southwestern Ontario" (J.
of Air and Waste Mgmnt. Assoc., 1997: 905-910) gave
the accompanying data on both indoor and outdoor
concentration (nanograms/m³) for a sample of houses
selected from a certain region.
House
4
6
5
7
8
.12 .12 .12 .13
.54 .97 .35 .49
6 7 89
.14.15
.84.86
Indoor
Outdoor
Indoor
Outdoor
Indoor
Outdoor
10 11 12 13 14 15 16 17
.15 .17 .17 .18
.28 .32 .32 1.55
18 19
House
20
26 27 28
House
21
.20 22 .22 .23
1.59 .90 .52 .12
House
29
.18
.66
.18 .18 .19
.29 .21 1.02
22 23
24 25
.23 .25 .26 .28
.54 .88
.49 1.24
30 31 32 33
.28 .29 .34 .39 .40 .45 .54 .62
.48 .27 .37 1.26 .70 .76 .99 .36
a. Calculate a confidence interval for the population
mean difference between indoor and outdoor con-
centrations using a confidence level of 95%, and
interpret the resulting interval.
b. If a 34th house were to be randomly selected from
the population, between what values would you pre-
dict the difference in concentrations to lie?
38. Adding computerized medical images to a database
promises to provide great resources for physicians.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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