#2 it must be in the format of the second picture.

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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#2 it must be in the format of the second picture.

2. Let x be a random variable that represents the concentration of iron in water. The EPA specifies
that x has a normal distribution with o = 0.7. The company claims that the iron concentration
population mean is u = 2.0 downstream from the plant. But 10 samples taken downstream from an
industrial plantshow an = 2.48.
a.
Does this sample indicate a u higher than that the company claims? (a 1%).
b. Find a 95% confidence interval for u generated from the sample data. Please do this part on
a separate blank page!
3. Let x be a random variable representing the concentration of chemical Z in human blood. Over a
fong time frame a population mean u = 12% or above is considered unhealthy. A patient has taken
%3D
12 blood samples over the last two weeks. The average concentration from these 12 samples is
13% and s = 1.3%.
a. Do these data suggest a population mean u higher than 12% for this patient? (Use a = 5%)
%3D
b. Using the sample data, generate a 99% confidence interval for u. Please do this part on a
separate blank page!
4.
Women athletes at a university have a long term graduation rate of 67%. Over the past
several
years, a random sample of 38 women athletes at the school showed that 21 eventually graduated.
Døes this indicate that the population proportion of women athletes who graduate from this
university has changed (either way)? Use a 1% level of significance.
5. Isit better to fish from the shore or a boat? Let x be a random variable representing the number of
hours taken to catch a fish. The table below contains the data taken over several months for B from
the shore, and A from a boat.
Oct
Dec
Jan
Feb
Mar
Apr
B (shore)
1.8
3.2
3.3
A (boat)
1.5
1.4
2.2
3.3
3.0
3.8
Use a 1% level of significance to determine if there is a difference in the population mean hours per
ish, using a boat compared with fishing from shore. (This is a paired difference problem.)
In a location two random samples were taken concerning the rate of hay fever per 1000 population.
Sample 1 (n, = 14) contained people under 25, sample 2 (n, 16) contained people over 50.
1 109.5 s, 15.41
=99.36 s, = 11.57
Aşsume that the hay fever rate in each group has an approximately normal distribution. Do the data
indicate that the over 50 group has a significantly lower hay fever rate? (Use a = 5%)
(Note: Several of these problems have been adapted from our text.)
Transcribed Image Text:2. Let x be a random variable that represents the concentration of iron in water. The EPA specifies that x has a normal distribution with o = 0.7. The company claims that the iron concentration population mean is u = 2.0 downstream from the plant. But 10 samples taken downstream from an industrial plantshow an = 2.48. a. Does this sample indicate a u higher than that the company claims? (a 1%). b. Find a 95% confidence interval for u generated from the sample data. Please do this part on a separate blank page! 3. Let x be a random variable representing the concentration of chemical Z in human blood. Over a fong time frame a population mean u = 12% or above is considered unhealthy. A patient has taken %3D 12 blood samples over the last two weeks. The average concentration from these 12 samples is 13% and s = 1.3%. a. Do these data suggest a population mean u higher than 12% for this patient? (Use a = 5%) %3D b. Using the sample data, generate a 99% confidence interval for u. Please do this part on a separate blank page! 4. Women athletes at a university have a long term graduation rate of 67%. Over the past several years, a random sample of 38 women athletes at the school showed that 21 eventually graduated. Døes this indicate that the population proportion of women athletes who graduate from this university has changed (either way)? Use a 1% level of significance. 5. Isit better to fish from the shore or a boat? Let x be a random variable representing the number of hours taken to catch a fish. The table below contains the data taken over several months for B from the shore, and A from a boat. Oct Dec Jan Feb Mar Apr B (shore) 1.8 3.2 3.3 A (boat) 1.5 1.4 2.2 3.3 3.0 3.8 Use a 1% level of significance to determine if there is a difference in the population mean hours per ish, using a boat compared with fishing from shore. (This is a paired difference problem.) In a location two random samples were taken concerning the rate of hay fever per 1000 population. Sample 1 (n, = 14) contained people under 25, sample 2 (n, 16) contained people over 50. 1 109.5 s, 15.41 =99.36 s, = 11.57 Aşsume that the hay fever rate in each group has an approximately normal distribution. Do the data indicate that the over 50 group has a significantly lower hay fever rate? (Use a = 5%) (Note: Several of these problems have been adapted from our text.)
Camera
Random Variable:
Special considerations/characteristics:
Given:
%3D
0030
P(t6820)
Question:
POPULATIONX
SAMPLING DISTRIBUTION X
SAMPLE
M= 7500
O = 1750
B. What Type: Normat
Why Justified: CLT AESOZ30
X6820
Test Statistic:
Test Statistic Value:
= M= 7500
1750
HD
= 24 7. 4874
%3D
%3D
6820-750O
247.4874
-2.75
TI-8
%3D
%3D
6820-75
Ans/247
-2.
c. Pvalue?
-2.75
P(25-275)=-0030
2ND
MODE
AUNU
BRITISH INDUSTRIES
Transcribed Image Text:Camera Random Variable: Special considerations/characteristics: Given: %3D 0030 P(t6820) Question: POPULATIONX SAMPLING DISTRIBUTION X SAMPLE M= 7500 O = 1750 B. What Type: Normat Why Justified: CLT AESOZ30 X6820 Test Statistic: Test Statistic Value: = M= 7500 1750 HD = 24 7. 4874 %3D %3D 6820-750O 247.4874 -2.75 TI-8 %3D %3D 6820-75 Ans/247 -2. c. Pvalue? -2.75 P(25-275)=-0030 2ND MODE AUNU BRITISH INDUSTRIES
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