Question 859874: a local school district claims that the number of school days missed by its teachers due to illness is below the national average of 5. a random sample of 40 teachers provided the data below. at α=0.05, test the district's claim using P-values
0 3 6 3 3 5 4 1 3 5
7 3 1 2 3 3 2 4 1 6
2 5 2 8 3 1 2 5 4 1
1 1 2 1 5 7 5 4 9 3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a local school district claims that the number of school days missed by its teachers due to illness is below the national average of 5. a random sample of 40 teachers provided the data below. at α=0.05, test the district's claim using P-values
0 3 6 3 3 5 4 1 3 5
7 3 1 2 3 3 2 4 1 6
2 5 2 8 3 1 2 5 4 1
1 1 2 1 5 7 5 4 9 3
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x-bar = 3.4
std = 2.15
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Ho: u >= 5.4
Ha: u < 5.4 (claim)
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z(3.4) = (3.4-5.4)/[2.15/sqrt(40)] = -2.94
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p-value:: p-value = P(z < -2.94) = 0.0016
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Since the p-value is less than 5%, reject Ho.
The test results support the claim.
Cheers,
Stan H.
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