A process for a certain type of ore is designed to reduce

Chapter 6, Problem 2E

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A process for a certain type of ore is designed to reduce the concentration of impurities to less than 2%. It is known that the standard deviation of impurities for processed ore is 0.6%. Let \(\mu\) represent the mean impurity level, in percent, for ore specimens treated by this process. The impurity of 80 ore specimens is measured, and a test of the hypothesis \(H_0:\mu \geq 2\) versus \(H_1:\mu<2\) will be performed.

a. If the test is made at the 5% level, what is the rejection region?

b. If the sample mean impurity level is 1.85, will \(H_0\) be rejected at the 10% level?

c. If the sample mean pH is 1.85, will H0 be rejected at the 1% level?

d. If the value 1.9 is a critical point, what is the level of the test?

Equation Transcription:

Text Transcription:

mu

H_0:mu{>/=}2

H_1:mu<2

H_0

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