Problem 3 Incinerators can be a source of hazardous emissions into the atmosphere. Stack gas samples were collected from a sample of 50 incinerators in a major city and compared against the environmental standard. Part a Of the 50 samples, only 18 passed the environmental test. Can it be concluded that fewer than half of the incinerators in the city meet the standard? Part b Refer to Problem 3. Of the 50 samples, how many would have to pass the test in order for you to conclude that at least 70% of the incinerators in the city meet the standard? Use a one-sided confidence level of 95%. Also sketch the relevant distribution, indicate the critical value and mark the critical region.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 3
Incinerators can be a source of hazardous emissions into the atmosphere. Stack gas samples were collected
from a sample of 50 incinerators in a major city and compared against the environmental standard.
Part a
Of the 50 samples, only 18 passed the environmental test. Can it be concluded that fewer than half of the
incinerators in the city meet the standard?
Transcribed Image Text:Problem 3 Incinerators can be a source of hazardous emissions into the atmosphere. Stack gas samples were collected from a sample of 50 incinerators in a major city and compared against the environmental standard. Part a Of the 50 samples, only 18 passed the environmental test. Can it be concluded that fewer than half of the incinerators in the city meet the standard?
Part b
Refer to Problem 3. Of the 50 samples, how many would have to pass the test in order for you to conclude
that at least 70% of the incinerators in the city meet the standard? Use a one-sided confidence level of 95%.
Also sketch the relevant distribution, indicate the critical value and mark the critical region.
Transcribed Image Text:Part b Refer to Problem 3. Of the 50 samples, how many would have to pass the test in order for you to conclude that at least 70% of the incinerators in the city meet the standard? Use a one-sided confidence level of 95%. Also sketch the relevant distribution, indicate the critical value and mark the critical region.
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