Suppose a 1980 study was conducted whose purpose was to compare the indoor air quality in offices where smoking was permitted with that in offices where smoking was not permitted. Measurements were made of carbon monoxide (CO) at 1:20 p.m. in 40 work areas where smoking was permitted and in 40 work areas where smoking was not permitted. Where smoking was permitted, the mean CO level was 11.7 parts per million (ppm) and the standard deviation CO was 7.4 ppm. Where smoking was not permitted, the mean CO was 6.6 ppm and the standard deviation CO was 2.8 ppm. (Let population 1 be smoking was permitted and population 2 be smoking was not permitted.) (a) Test for whether the variance of CO is significantly different in the two types of working environments. (Use α = 0.05.) State the null and alternative hypotheses (in ppm). (Enter != for as needed.) Ho: H₂: Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Fail to reject Ho. There is insufficient evidence to conclude that the variance of CO is significantly different in the two types of working environment- O Reject Ho. There is sufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments. O Fail to reject Ho. There is sufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments O Reject Ho. There is insufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Suppose a 1980 study was conducted whose purpose was to compare the indoor air quality in offices where smoking was permitted with that in offices where
smoking was not permitted. Measurements were made of carbon monoxide (CO) at 1:20 p.m. in 40 work areas where smoking was permitted and in 40 work
areas where smoking was not permitted. Where smoking was permitted, the mean CO level was 11.7 parts per million (ppm) and the standard deviation CO was
7.4 ppm. Where smoking was not permitted, the mean CO was 6.6 ppm and the standard deviation CO was 2.8 ppm. (Let population 1 be smoking was permitted
and population 2 be smoking was not permitted.)
(a) Test for whether the variance of CO is significantly different in the two types of working environments. (Use α = 0.05.)
State the null and alternative hypotheses (in ppm). (Enter != for as needed.)
Ho:
H₂:
Find the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
O Fail to reject Ho. There is insufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments.
O Reject Ho. There is sufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments.
O Fail to reject Ho. There is sufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments.
O Reject Ho. There is insufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments.
Transcribed Image Text:Suppose a 1980 study was conducted whose purpose was to compare the indoor air quality in offices where smoking was permitted with that in offices where smoking was not permitted. Measurements were made of carbon monoxide (CO) at 1:20 p.m. in 40 work areas where smoking was permitted and in 40 work areas where smoking was not permitted. Where smoking was permitted, the mean CO level was 11.7 parts per million (ppm) and the standard deviation CO was 7.4 ppm. Where smoking was not permitted, the mean CO was 6.6 ppm and the standard deviation CO was 2.8 ppm. (Let population 1 be smoking was permitted and population 2 be smoking was not permitted.) (a) Test for whether the variance of CO is significantly different in the two types of working environments. (Use α = 0.05.) State the null and alternative hypotheses (in ppm). (Enter != for as needed.) Ho: H₂: Find the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Fail to reject Ho. There is insufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments. O Reject Ho. There is sufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments. O Fail to reject Ho. There is sufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments. O Reject Ho. There is insufficient evidence to conclude that the variance of CO is significantly different in the two types of working environments.
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