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Researchers collected samples of water from streams in a mountain range to investigate the effects of acid rain. They measured the pH​ (acidity) of the water and classified the streams with respect to the kind of substrate​ (type of rock over which they​ flow). A lower pH means the water is more acidic. The plot to the right shows the pH of the streams by substrate​ (limestone, mixed, or​ shale). Selected parts of a software analysis comparing pH of streams with mixed and shale substrates are shown below. Complete parts a through c.   ​2-Sample t-test of μ1−μ2=​0, Difference Between Means=0.195 t-Statistic=5.30 ​w/125 ​df,  P≤0.0001

Researchers collected samples of water from streams in a mountain range to investigate the effects of acid rain. They measured the pH​ (acidity) of the water and classified the streams with respect to the kind of substrate​ (type of rock over which they​ flow). A lower pH means the water is more acidic. The plot to the right shows the pH of the streams by substrate​ (limestone, mixed, or​ shale). Selected parts of a software analysis comparing pH of streams with mixed and shale substrates are shown below. Complete parts a through c.   ​2-Sample t-test of μ1−μ2=​0, Difference Between Means=0.195 t-Statistic=5.30 ​w/125 ​df,  P≤0.0001

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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Researchers collected samples of water from streams in a mountain range to investigate the effects of acid rain. They measured the pH​ (acidity) of the water and classified the streams with respect to the kind of substrate​ (type of rock over which they​ flow). A lower pH means the water is more acidic. The plot to the right shows the pH of the streams by substrate​ (limestone, mixed, or​ shale). Selected parts of a software analysis comparing pH of streams with mixed and shale substrates are shown below. Complete parts a through c.
 
​2-Sample t-test of μ1−μ2=​0, Difference Between Means=0.195 t-Statistic=5.30 ​w/125 ​df,  P≤0.0001
 
a) State the null and alternative hypotheses for this test. Choose the correct answer below.
 
 
A. H0​: μM−μS=​0; HA​: μM−μS≠0
 
B. H0​: μM−μS≤​0; HA​: μM−μS>0
 
C. H0​: μM−μS≥​0; HA​: μM−μS<0
 
D.
H0​: μM−μS≠​0; HA​: μM−μS=0
Part 2
​b) From the information you​ have, do the assumptions and conditions appear to be​ met?
 
Which of the following conditions are satisfied for the given​ data? Select all that apply.
 
A. Independent group assumption
 
B. Independence assumption
 
C. Nearly normal condition
Part 3
​c) What conclusion would you​ draw?
 
▼ (Fail to reject/ Reject)
H0. There
▼
 (is not/ is)
strong evidence that the streams with mixed substrates have mean pH levels different from those of streams with shale substrates.
 
 
8.0- 7.6- 는 7.21 6.8- 6.4- M Subetroto Tyno
Transcribed Image Text:8.0- 7.6- 는 7.21 6.8- 6.4- M Subetroto Tyno
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