Test 4 - test04_s

# D o you have enough evi dence t rej o ectt m anuf

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Unformatted text preview: of60 hours.D o you have enough evi dence t rej o ectt m anuf urer’ cl m ? U se = 0. he act s ai 05.Test t hypot he hesi and show al s ldet l ais. H H 0 :µ a :µ &lt; 750 750 ( a)St e t t at he est t be appled;answ er by i cat ng w hi t o i ndi i ch est you w ilappl on your cal at l y cul or, f exam pl 1:ZTEST. or e A pplcabl t : i e est 1:ZTEST ( b)Run t t he estand reportbot t t h he estst i i and t P - ue. at st cs he val t estst i i = at st c − 0. 5 P - ue = val 0. 3086 ( c)C oncl on. D eci w het usi de her t rej o ect t nul hypot he l hesi and i erpret t deci on i t s, nt he si n he cont extof t ori nalcl m . he gi ai Sol i ut on: Si nce P &gt; ,w e cannot rej H 0 . There i i ect s nsu ci entevi dence at t he = 0. l 05 evel t refut t cl m oft m anufact o e he ai he urer t hatt m ean lfe oft lghtbul i atl he i he i bs east740 hours. Sam pl dat e a:µ 0 = 750,¯ = 745,s = 60,n = 36. x STA 2023/T4 ( pts) 10 – Page 3 of 5 – N am e:A nsw er K ey 7.I a recent survey of gun cont n roll s,a random sam pl of 1000 w om en show ed t aw e hat 65% w ere if n avor of st ct gun cont ri er roll s. I a random sam pl of 1000 m en,60% favored st ct gun aw n e ri er cont roll s. Test t cl m t aw he ai hat t percent he age of m en and w om en f avori st ct gun cont ng ri er rol l s i t sam e.U se = 0. aw s he 05. H 0 :p 1 = p 2 H a :p 1 = p 2 w here,p 1 = “proport on ofw om en w ho favorgun cont ” and p 2 = “proport on ofm en w ho favor i rol i gun cont . rol” ( a)St e t t at he est t be appled;answ er by i cat ng w hi t o i ndi i ch est you w ilappl on your cal at l y cul or, f exam pl 1:ZTEST. or e A pplcabl t : i e est 6:2-PropZTEST ( b)Run t t he estand reportbot t t h he estst i i and t P - ue. at st cs he val t estst i i = at st c P - ue = val 2. 3094 0. 0209 ( c)C oncl on. D eci w het usi de her t rej o ect t nul hypot he l hesi and i erpret t deci on i t s, nt he si n he cont extof t ori nalcl m . he gi ai Sol i ut on: Si nce P = 0. 05,w e rej ect H opi ons o...
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## This document was uploaded on 02/23/2014.

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