Statistical Significance of a New Missile Steering Device: Hypothesis Testing, Quizzes of Business Management and Analysis

Download Statistical Significance of a New Missile Steering Device: Hypothesis Testing and more Quizzes Business Management and Analysis in PDF only on Docsity! .//- I^'t<,) MAS 2020 Takehome Quiz Due 2l5l9B A long-range missile misses its target by an average of 0.88 miles. A new steering device is supposed to increase the missile's accuracy. A random sample of eight missiles is equipped with this new mechanism and tested. Thgse eight missiles miss by distances with a mean of 0.83 miles and a standard deviation of 0.05 miles. At the 0.01 level of significance, does the new steering mechanisin improve the accuracy of the missile? Assume that the distance the missile qnisses its target is normally distributed. l. Compfetelv define the parameter are vou testing 1k- $'r,a<. averctga' J'stt-'c- r,t^W{,TW h.is<ts i{.d k{#1/ b2.- r/S,-rth i1"" /\r,w <kt ttVvt dAVrc"ddsff. . t( W /"' v tA3 t"' l*w S utrvy CJ,aVtC"t {'t*/- 2. State the null and alternative hypothesis to test this claim. f-t, H^ ",14= ' 8a i )lL '$fi ftjl,?'**:Z-Ye ^: l-/ Irl fisr' , QtzS z- f,< , CCs ,o75 -2.\c5 -).st ,1 oor /r 10'c25 4. Are the data statistically significant t f," *l',- "Yy -{ir[t;ff "*!t-"*5iy^i0r"---" ,-Y *'t.'.- . O | 'levcl bu.or' i;,lr*,'- fu ntj c-o{- l+o ' / 5. State your decision and cohclusion in the language of the problem. AviJs''u" tk'"Lt & -O I le"ul .J- ,. *ulr-,(u ,'/'/r't r4"t /'''t"'L 1*is<e-s i*s W 4Y ;t'/t"'!*L*' g5rn9 *tu ruv.J slu-r '^J }-LVLC<-' Wtfu) F^l u rEe-kk- H. ee=glw r*"fLu* ; s n$*. by<- *,-:.v--!;-#iIAvcn?a/ d-; ,,.-lt ^;bs1'.' Wfr&tt 6. In the language of the problem, what would constitute a Type I error? What are the consequences of committing a Type I errorz. X TVrr" T u*ro. is -rl^u- T_ Ief€,(F !\o xrL*-"''{'^' A'+ ||u. is 'W^o, // -/*ou 7 urno' ; l ,a.^ r slc-*t- fl'* o"lov-;;vu^is< lt/'$o,"in n^'i r I i*t- W V a^. u& . Sn ^{t* ^'lr^- i - p*l- '* /.m,r t^.i',- ;+s Lr ? av,."r * ,?X wi6,s. lt- q-*s.t,^9*u,{ -Q- ,o',.,--ict(\. - -w* E Wr<lt^ rl-ra. .u*v :12", l,'*,).4- +o .o,*- ,oe--'*J.<-' "r-t" &itAt."*to--'+l*t a"* tr';l( '' ':""* ^Lv