In a study of the effect of cigarette smoking on the carbon monoxide diffusing capacity (DL) of the lung, researchers found that current smokers had DL readings significantly lower than those of either ex-smokers or nonsmokers. The carbon monoxide diffusing capacities for a random sample of n = 20 current smokers are listed here. 103.668 88.502 73.103 123.186 91.052 92.195 61.575 90.577 84.123 75.914 100.715 87.917 71.110 82.115 89.222 102.854 108.679 73.154 106.755 90.379 (a) Do these data indicate that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers? Use a = 0.01. State the null and alternative hypotheses. Ho: u = 100 versus H: µ ± 100 O Ho: u + 100 versus H,: µ = 100 O Ho: u < 100 versus H,: u > 100 Ho: u = 100 versus H: µ > 100 O Ho: u = 100 versus H,: µ < 100 State the test statistic. (Round your answer to three decimal places.) O 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 O p-value > 0.100 State the conclusion. H, is not rejected. There is sufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. H, is rejected. There is sufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. O H, is not rejected. There is insufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. H, is rejected. There is insufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. (b) Find a 99% one-sided upper confidence bound for the mean DL reading for current smokers. (Round your answer to three decimal places.) Does this bound confirm your conclusions in part (a)? Since u = 100 does not fall v in the confidence interval, it is unlikely that the mean DL reading for current smokers is greater than or equal to 100 DL.
In a study of the effect of cigarette smoking on the carbon monoxide diffusing capacity (DL) of the lung, researchers found that current smokers had DL readings significantly lower than those of either ex-smokers or nonsmokers. The carbon monoxide diffusing capacities for a random sample of n = 20 current smokers are listed here. 103.668 88.502 73.103 123.186 91.052 92.195 61.575 90.577 84.123 75.914 100.715 87.917 71.110 82.115 89.222 102.854 108.679 73.154 106.755 90.379 (a) Do these data indicate that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers? Use a = 0.01. State the null and alternative hypotheses. Ho: u = 100 versus H: µ ± 100 O Ho: u + 100 versus H,: µ = 100 O Ho: u < 100 versus H,: u > 100 Ho: u = 100 versus H: µ > 100 O Ho: u = 100 versus H,: µ < 100 State the test statistic. (Round your answer to three decimal places.) O 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 O p-value > 0.100 State the conclusion. H, is not rejected. There is sufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. H, is rejected. There is sufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. O H, is not rejected. There is insufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. H, is rejected. There is insufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers. (b) Find a 99% one-sided upper confidence bound for the mean DL reading for current smokers. (Round your answer to three decimal places.) Does this bound confirm your conclusions in part (a)? Since u = 100 does not fall v in the confidence interval, it is unlikely that the mean DL reading for current smokers is greater than or equal to 100 DL.
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Transcribed Image Text:In a study of the effect of cigarette smoking on the carbon monoxide diffusing capacity (DL) of the lung, researchers found that current smokers had DL readings
significantly lower than those of either ex-smokers or nonsmokers. The carbon monoxide diffusing capacities for a random sample of n = 20 current smokers are listed here.
103.668
88.502
73.103
123.186
91.052
92.195
61.575
90.577
84.123
75.914
100.715
87.917
71.110
82.115
89.222
102.854
108.679
73.154
106.755
90.379
(a) Do these data indicate that the mean DL reading for current smokers is significantly lower than 100 DL, the average for nonsmokers? Use a = 0.01.
State the null and alternative hypotheses.
Ho: u = 100 versus H: µ ± 100
O Ho: u + 100 versus H,: µ = 100
O Ho: u < 100 versus H,: u > 100
Ho: u = 100 versus H: µ > 100
O Ho: u = 100 versus H,: µ < 100
State the test statistic. (Round your answer to three decimal places.)
Transcribed Image Text:O 0.010 < p-value < 0.025
0.025 < p-value < 0.050
0.050 < p-value < 0.100
O p-value > 0.100
State the conclusion.
H, is not rejected. There is sufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for
nonsmokers.
H, is rejected. There is sufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for
nonsmokers.
O H, is not rejected. There is insufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for
nonsmokers.
H, is rejected. There is insufficient evidence to conclude that the mean DL reading for current smokers is significantly lower than 100 DL, the average for
nonsmokers.
(b) Find a 99% one-sided upper confidence bound for the mean DL reading for current smokers. (Round your answer to three decimal places.)
Does this bound confirm your conclusions in part (a)?
Since u = 100 does not fall v
in the confidence interval, it is unlikely
that the mean DL reading for current smokers is greater than or equal to 100 DL.
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