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 a=0.15. City 1 2 3 5 6 4 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. Но с. На: d. The level of significance is e. Determine the test statistic using the data (show solution). f. Provide the decision rule of the test. and X2 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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>.
Transcribed Image Text: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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