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.   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             a. At α = 0.01, test the district’s claim using p-values.             b. Interpret your results.

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Q: The p-value for this problem is:

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A: n1 = 52, x1 = 15, p1 = 0.288 n2 = 48, x2 = 18, p2 = 0.375

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A: Given that σ=3That means σ2=32=9.

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