For each of n=100 persons that live in Riverside, CA next to I-91, the number of self reported-health problems was reported in a week before and after installation of a noise barrier. Let (d_bar )=5.3 and s_d=10 then Z=5.3 and p-value
p-value > alpha, and there is no significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
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p-value < alpha, and there is significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
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p-value cannot be computed |
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p-value > 0, and there is significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
For each of n=100 persons that live in Riverside, CA next to I-91, the number of self reported-health problems was reported in a week before and after installation of a noise barrier. Let (d_bar )=5.3 and s_d=10 then
Z=(5.3)/(10/10)=5.3>z_(.05)=1.645 and there is statistical significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
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Z=(5.3)/(10/10)=5.3>-z_(.025)=1.645 and there is statistical significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
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Z=(5.3)/(10/10)=5.3>z_(.025)=1.96 and there is statistical significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
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Z=5.3/(100/10)=.53<z_.05=1.645 and there is no statistical significant reduction of health-related problems after installation of the noise barrier, at 5% significance. |
A local health organization wants to test the improvement in noise-related health problems after the installation of a noise barrier in Riverside, CA.Let μ_d be the mean reduction in the self reported-health problems before and after the installation of the noise barrier, where μ_d>0 implies a reduction in health problems after installation of the noise barrier. Which hypotheses are appropriate?
H_0: μ_d=0 and H_A: μ_d>0 |
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H_0: μ_d=0 and H_A: μ_d≠0 |
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H_0: μ_d=0 and H_A: μ_d<0 |
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H_0: d=0 and H_A: d>0 |
A local health organization wants to test the improvement in noise-related health problems after the installation of a noise barrier in Riverside, CA. For each of n=100 people that live in Riverside, CA, next to I-91, the number of self reported-health problems has been recorded in a week before and after installation of a noise barrier. Which test should be used to answer the question?
One-sample test for population mean |
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Two-independent samples test for difference in means (with equal variances) |
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Two-independent samples test for difference in means (with unequal variances) |
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Paired test for mean difference |
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