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 μ 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 H0 : μ ≥ 2 versus H1 : μ < 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 H0 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?
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 μ 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 H0 : μ ≥ 2 versus H1 : μ < 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 H0 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?
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