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?
Answer by stanbon(75887)   (Show Source):
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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