SOLUTION: 4. A sample size of 45 is used to test Ho:u > 50 VS. Ha:u < 50 Given that the sample mean is 50.5 and s = 5.0, answer the following questions: (A) What is the computed value

Algebra ->  Probability-and-statistics -> SOLUTION: 4. A sample size of 45 is used to test Ho:u > 50 VS. Ha:u < 50 Given that the sample mean is 50.5 and s = 5.0, answer the following questions: (A) What is the computed value       Log On


   



Question 232716: 4. A sample size of 45 is used to test Ho:u > 50 VS. Ha:u < 50

Given that the sample mean is 50.5 and s = 5.0, answer the following questions:
(A) What is the computed value of the test statistic?

(B) What distribution does the test statistic have when the null hypothesis is true?

(C) Is the alternative hypothesis one-tailed or two-tailed?

(D) What is the p-value?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A sample size of 45 is used to test Ho:u >= 50 VS. Ha:u < 50
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Comment: That null hypothesis is unacceptable. Ho MUST contain
equality.
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Given that the sample mean is 50.5 and s = 5.0, answer the following questions:
(A) What is the computed value of the test statistic?
t(50.5) = (50.5-50)/[5/sqrt(45)
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(B) What distribution does the test statistic have when the null hypothesis is true?
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mean = 50 ; std = 5/sqrt(45)
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(C) Is the alternative hypothesis one-tailed or two-tailed?
one-tail
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(D) What is the p-value?
p-value = P(t > the test statistic, with df=44)
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Cheers,
Stan H.