SOLUTION: Consider the hypothesis test given by H0 :µ= 530 H1:µ< 530 In a random sample of 225 subjects, the sample mean is found to be xbar 525 . Also, the population standar

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Question 873045: Consider the hypothesis test given by

H0 :µ= 530
H1:µ< 530

In a random sample of 225 subjects, the sample mean is found to be
xbar 525 . Also, the population standard deviation is ( 25 ).

(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(c) Is there sufficient evidence to justify the rejection of
H0 at the (alfa 0.01) level? Explain

Answer by reviewermath(1029) About Me  (Show Source):
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H0 :µ= 530
H1:µ< 530
In a random sample of 225 subjects, the sample mean is found to be
xbar 525 . Also, the population standard deviation is ( 25 ).
(a) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
The test statistic is =(525-530)/(25/SQRT(225)) = highlight%28-3%29

(b) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
To get the P-value, enter the following formula in Excel:
=NORMSDIST(-3)
The answer is highlight%280.0013%29
(c) Is there sufficient evidence to justify the rejection of
H0 at the (alpha 0.01) level? Explain
Answer: Since the p-value is less than alpha level, there is sufficient evidence to justify the rejection of H%5B0%5D.