SOLUTION: The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an α= .05 test to establish that the quality is acceptable.
X=47 S=9.4 degre
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X=47 S=9.4 degre
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Question 479432: The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an α= .05 test to establish that the quality is acceptable.
X=47 S=9.4 degrees of freedom=13
(a)Specify H0 and H1.
(b)State the test statistic.
(c)What does the test conclude?
You can put this solution on YOUR website! The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an α= .05 test to establish that the quality is acceptable.
X=47 S=9.4 degrees of freedom=13
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(a)Specify
H0: u >= 49
H1: u < 49 (?)
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(b)State the test statistic
t(47) = (47-49)/[9.4/sqrt(14)) = -2/[2.51] = -0.7961
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p-value = P(t<-0.7961 when df = 13) = tcdf(-100,-0.7961,13) = 0.22
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(c)What does the test conclude?
Since the p-value is greater than 5%, fail to reject Ho.
The test results indicate the water quality is not acceptable.
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Cheers,
Stan H.
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