Answered: City 1 5 Year 1 28 47 22 30 32 4 Year 2…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Please solve for d,e, and f
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Step 1

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”

Given

5α=0.15

Sample size, n= 7

City	1	2	3	4	5	6	7
Year 1	28	47	9	22	30	32	4
Year 2	36	65	13	23	44	38	12

Step 2

X1X1 is the no. of days in year 1 that these cities failed to meet acceptable air quality standards.

X2X2 is the no. of days in year 2 that these cities failed to meet acceptable air quality standards.

Step 3

H0: μ1=μ2where,μ1=Pop mean no. of days in year 1 that these cities failed to meet acceptable air quality standards.μ2=Pop mean no. of days in year 2 that these cities failed to meet acceptable air quality standards.H0: μ1=μ2where,μ1=Pop mean no. of days in year 1 that these cities failed to meet acceptable air quality standards.μ2=Pop mean no. of days in year 2 that these cities failed to meet acceptable air quality standards.

Step 4

It is to be checked that after a year whether there is an improvement in the air quality or not in Philippines and the given table is of the no. of days each year that these cities failed to meet acceptable air quality standards.

Ha: μ1>μ2

As a researcher for an environmental agency, you have been asked to determine if the air quality
in the Philippines has changed over the past 2 years. You select a random sample of 7
metropolitan cities and find the number of days each year that these cities failed to meet
acceptable air quality standards. The results were given below. Can we conclude that after a
year, there is no improvement in the air quality in the Philippines? Use o=0.15.
City
1
2
3
4
5
6
7
Year 1
28
47
9
22
30
32
4
Year 2
36
65
13
23
44
38
12
a. In words, define the random variable X1
b. Ho:.
c. Ha:
d. The level of significance is
e. Determine the test statistic using the data (show solution).
f. Provide the decision rule of the test.
g. Decision:
h. Write a clear conclusion. You may use the sample format:
and X2
<There is / There is no> sufficient evidence to reject the null hypothesis that
<insert null hypothesis in words> at < _% level of significance>.

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