A copper smelting process is supposed to reduce the arsenic content of the copper to less than 1000 ppm. Let u denote the mean arsenic content for copper treated by this process, and assume that the...


A copper smelting process is supposed to reduce the arsenic content of the copper to less<br>than 1000 ppm. Let u denote the mean arsenic content for copper treated by this process,<br>and assume that the standard deviation of arsenic content is o = 100 ppm. The sample mean<br>arsenic content x of 75 copper specimens will be computed, and the null hypothesis Ho : 2<br>1000 will be tested against the alternate H1 : µ < 1000.<br>A decision is made to reject Ho if X < 980. Find the level of this test.<br>a.<br>b.<br>Find the power of the test in part (a) if the true mean content is 965 ppm.<br>For what values of X should H, be rejected so that the power of the test will be 0.95<br>C.<br>when the true mean content is 965?<br>d.<br>For what values of X should Ho be rejected so that the level of the test will be 5%?<br>e.<br>What is the power of a 5% level test if the true mean content is 965 ppm?<br>f.<br>How large a sample is needed so that a 5% level test has power 0.95 when the true<br>mean content is 965 ppm?<br>

Extracted text: A copper smelting process is supposed to reduce the arsenic content of the copper to less than 1000 ppm. Let u denote the mean arsenic content for copper treated by this process, and assume that the standard deviation of arsenic content is o = 100 ppm. The sample mean arsenic content x of 75 copper specimens will be computed, and the null hypothesis Ho : 2 1000 will be tested against the alternate H1 : µ < 1000.="" a="" decision="" is="" made="" to="" reject="" ho="" if="" x="">< 980.="" find="" the="" level="" of="" this="" test.="" a.="" b.="" find="" the="" power="" of="" the="" test="" in="" part="" (a)="" if="" the="" true="" mean="" content="" is="" 965="" ppm.="" for="" what="" values="" of="" x="" should="" h,="" be="" rejected="" so="" that="" the="" power="" of="" the="" test="" will="" be="" 0.95="" c.="" when="" the="" true="" mean="" content="" is="" 965?="" d.="" for="" what="" values="" of="" x="" should="" ho="" be="" rejected="" so="" that="" the="" level="" of="" the="" test="" will="" be="" 5%?="" e.="" what="" is="" the="" power="" of="" a="" 5%="" level="" test="" if="" the="" true="" mean="" content="" is="" 965="" ppm?="" f.="" how="" large="" a="" sample="" is="" needed="" so="" that="" a="" 5%="" level="" test="" has="" power="" 0.95="" when="" the="" true="" mean="" content="" is="" 965="">

Jun 10, 2022
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