Question 982178: You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 students. You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below. At aαequals=0.01, can you support the university's claim? Complete parts (a) through (c) below. Assume the population is normally distributed
35 28 26 33 34 40 25 25 31 29 33 39 33 29 24 32 31 23
A. What is the P value?
B. Decide whether to reject or fail to reject the null hypothesis
C. Interpret the decision in the context of the original claim
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 33 students.
Ho: u = 33 (claim)
Ha: u # 33
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You want to test this claim. You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below.
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At aα equals=0.01, can you support the university's claim?
Complete parts (a) through (c) below. Assume the population is normally distributed
35 28 26 33 34 40 25 25 31 29 33 39 33 29 24 32 31 23
sample mean = 30.56
std = 4.89
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test stat: t(30.56) = (30.56-33)/[4.89/sqrt(18)] = 1.1526
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A. What is the P value?
This is a 2-tail test, so
p = 2*P(t > 1.1526 when df = 17) = 2*tcdf(1.1526,100,17) = 2*0.1325 = 0,2650
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B. Decide whether to reject or fail to reject the null hypothesis
Since the p-value is greater han 1%, fail to reject Ho.
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C. Interpret the decision in the context of the original claim
The test results support the claim that the mean = 33.
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Cheers,
Stan H.
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