Hypothesis Tests A study was done to whether or not corrosion of exterior concrete was different under normal rain conditions (typical) and acidic rain conditions (atypical). They sampled concrete from 16 different structures, and subjected a piece of the concrete from each structure to simulated weathering under both typcial and atypcial conditions. A t-test was conducted, with the results depicted below. t.test (weathering conditions, weatheringExp, alternative = "1") Welch Two Sample t-test data: weathering by conditions t = 3.56, df = 29.971, p-value = 0.9994 alternative hypothesis: true difference in means is less than 0 95 percent confidence interval: -Inf 0.2025022 sample estimates: mean of Typical mean of Atypical -0.039000 -0.176125 cohen.d(weathering conditions, weatheringExp) Cohen's d d estimate: 1.258657 (large) 95 percent confidence interval: lower upper 0.4683385 2.0489749 1. Write the null and alternate hypothesis being tested here. 2. State clearly the conclusion of this hypothesis test. 3. Is this the ideal test to be conducted for this problem? Explain why or why not in 1-2 brief sentences.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Part 1-3
Hypothesis Tests
A study was done to whether or not corrosion of exterior concrete was different under normal rain conditions
(typical) and acidic rain conditions (atypical). They sampled concrete from 16 different structures, and
subjected a piece of the concrete from each structure to simulated weathering under both typcial and
atypcial conditions. A t-test was conducted, with the results depicted below.
t.test (weathering conditions, weatheringExp, alternative = "1")
Welch Two Sample t-test
data: weathering by conditions
t = 3.56, df = 29.971, p-value = 0.9994
alternative hypothesis: true difference in means is less than 0
95 percent confidence interval:
-Inf 0.2025022
sample estimates:
mean of Typical mean of Atypical
-0.039000 -0.176125
cohen.d(weathering conditions, weatheringExp)
Cohen's d
d estimate: 1.258657 (large)
95 percent confidence interval:
✓ lower
upper
0.4683385 2.0489749
1. Write the null and alternate hypothesis being tested here.
2. State clearly the conclusion of this hypothesis test.
3. Is this the ideal test to be conducted for this problem? Explain why or why not in 1-2 brief sentences.
Transcribed Image Text:Hypothesis Tests A study was done to whether or not corrosion of exterior concrete was different under normal rain conditions (typical) and acidic rain conditions (atypical). They sampled concrete from 16 different structures, and subjected a piece of the concrete from each structure to simulated weathering under both typcial and atypcial conditions. A t-test was conducted, with the results depicted below. t.test (weathering conditions, weatheringExp, alternative = "1") Welch Two Sample t-test data: weathering by conditions t = 3.56, df = 29.971, p-value = 0.9994 alternative hypothesis: true difference in means is less than 0 95 percent confidence interval: -Inf 0.2025022 sample estimates: mean of Typical mean of Atypical -0.039000 -0.176125 cohen.d(weathering conditions, weatheringExp) Cohen's d d estimate: 1.258657 (large) 95 percent confidence interval: ✓ lower upper 0.4683385 2.0489749 1. Write the null and alternate hypothesis being tested here. 2. State clearly the conclusion of this hypothesis test. 3. Is this the ideal test to be conducted for this problem? Explain why or why not in 1-2 brief sentences.
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