SOLUTION: A stats practitioner formulated the following hypothesis: H0:&#956; = 200 against H1:<200 and learned that the mean = 190 n = 9 and &#963; = 50. The p-value of the test is?

Algebra ->  Probability-and-statistics -> SOLUTION: A stats practitioner formulated the following hypothesis: H0:&#956; = 200 against H1:<200 and learned that the mean = 190 n = 9 and &#963; = 50. The p-value of the test is?      Log On


   



Question 286771: A stats practitioner formulated the following hypothesis: H0:μ = 200 against H1:<200 and learned that the mean = 190 n = 9 and σ = 50. The p-value of the test is?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A stats practitioner formulated the following hypothesis:
H0: μ = 200 against
H1: u <200
and learned that the mean = 190 n = 9 and σ = 50. The p-value of the test is?
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Determine the test statistic:
t(190) = (190-200)/[50/sqrt(9)] = -0.6
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p-value = P(t<-0.6 when df = 8) = 0.2826
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I used a TI calculator command: tcdf(-100,-0.6,8) = 0.2826
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Cheers,
Stan H.