The impurity level (in ppm) is routinely measured in an
Chapter 9, Problem 124E(choose chapter or problem)
The impurity level (in ppm) is routinely measured in an intermediate chemical product. The following data were observed in a recent test:
2.4, 2.5, 1.7, 1.6, 1.9, 2.6, 1.3, 1.9, 2.0, 2.5, 2.6, 2.3, 2.0, 1.8, 1.3, 1.7, 2.0, 1.9, 2.3, 1.9, 2.4, 1.6 Can you claim that the median impurity level is less than 2.5 ppm?
(a) State and test the appropriate hypothesis using the sign test with \(\alpha=0.05\). What is the P-value for this test?
(b) Use the normal approximation for the sign test to test \(H_{0}: \tilde{\mu}=2.5\) versus \(H_{1}: \tilde{\mu}<2.5\). What is the P-value for this test?
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