Let u denote the mean lifetime (in hours) for a certain type of battery under controlled laboratory conditions. A test of H,: µ = 10 versus H.: µ


Let u denote the mean lifetime (in hours) for a certain type of battery under controlled laboratory conditions. A test of H,: µ = 10 versus H.: µ < 10 will be based on a sample of size 36. Suppose that o is known to be 0.6, so o, = 0.1. The appropriate test statistic is then<br>x - 10<br>z =<br>0.1<br>(a) What is a for the test procedure that rejects H, if z < -1.44? (Round your answer to four decimal places.)<br>a =<br>(b) If the test procedure of part (a) is used, calculate B when µ = 9.8. (Round your answer to four decimal places.)<br>B =<br>Interpret this error probability.<br>O This represents the probability the test rejects the null hypothesis when u = 9.8.<br>O This represents the probability the test does not reject the null hypothesis when u = 10.<br>O This represents the probability the test does not reject the null hypothesis when u = 9.8.<br>O This represents the probability the test rejects the null hypothesis when u = 10.<br>O This represents the probability the test rejects the null hypothesis when u = -1.44.<br>(c) Without doing any calculation, explain how B when u = 9.5 compares to B when u = 9.8.<br>B when u = 9.5 would be<br>--Select--- v than B when u = 9.8.<br>Check your assertion by calculating B when u = 9.5. (Round your answer to four decimal places.)<br>B =<br>(d) What is the power of the test when u = 9.8? (Round your answer to four decimal places.)<br>When u = 9.5? (Round your answer to four decimal places.)<br>

Extracted text: Let u denote the mean lifetime (in hours) for a certain type of battery under controlled laboratory conditions. A test of H,: µ = 10 versus H.: µ < 10="" will="" be="" based="" on="" a="" sample="" of="" size="" 36.="" suppose="" that="" o="" is="" known="" to="" be="" 0.6,="" so="" o,="0.1." the="" appropriate="" test="" statistic="" is="" then="" x="" -="" 10="" z="0.1" (a)="" what="" is="" a="" for="" the="" test="" procedure="" that="" rejects="" h,="" if="" z="">< -1.44?="" (round="" your="" answer="" to="" four="" decimal="" places.)="" a="(b)" if="" the="" test="" procedure="" of="" part="" (a)="" is="" used,="" calculate="" b="" when="" µ="9.8." (round="" your="" answer="" to="" four="" decimal="" places.)="" b="Interpret" this="" error="" probability.="" o="" this="" represents="" the="" probability="" the="" test="" rejects="" the="" null="" hypothesis="" when="" u="9.8." o="" this="" represents="" the="" probability="" the="" test="" does="" not="" reject="" the="" null="" hypothesis="" when="" u="10." o="" this="" represents="" the="" probability="" the="" test="" does="" not="" reject="" the="" null="" hypothesis="" when="" u="9.8." o="" this="" represents="" the="" probability="" the="" test="" rejects="" the="" null="" hypothesis="" when="" u="10." o="" this="" represents="" the="" probability="" the="" test="" rejects="" the="" null="" hypothesis="" when="" u="-1.44." (c)="" without="" doing="" any="" calculation,="" explain="" how="" b="" when="" u="9.5" compares="" to="" b="" when="" u="9.8." b="" when="" u="9.5" would="" be="" --select---="" v="" than="" b="" when="" u="9.8." check="" your="" assertion="" by="" calculating="" b="" when="" u="9.5." (round="" your="" answer="" to="" four="" decimal="" places.)="" b="(d)" what="" is="" the="" power="" of="" the="" test="" when="" u="9.8?" (round="" your="" answer="" to="" four="" decimal="" places.)="" when="" u="9.5?" (round="" your="" answer="" to="" four="" decimal="">

Jun 02, 2022
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