Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is = 17.6. The P-value is closest to:

0.0668.

0.0082.

0.0164.

0.1336.

Question

Mathematics

Andreas

26 January, 13:31

Suppose we are testing the null hypothesis H0: μ = 20 and the alternative Ha: μ 20, for a normal population with σ = 5. A random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is = 17.6. The P-value is closest to:

0.0668.

0.0082.

0.0164.

0.1336.

+4

Answers (1)

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Abel Herring · Answer 1

For the answer to the question above,

P-value is determined by finding the z-value for the sample:

z = (17 - 20) / [6 / sqrt (9) ] = - 1.5

Look up in a Normal table P (z < - 1.5) = 0.0668. But, multiply this times 2 since this is a two-tailed test (μ≠ 20):

P-value = 0.0668 (2) = 0.1336