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CompanyConfidentialٷ䇮Ự傼CompanyConfidentialᒯᇓՐⲴ㲊ٷᙗzᵪ⭥⊐Ⲵ֯⭘ሯભнᱟ᤹ᒤᶕ䇑㇇Ⲵˈ㘼ᱟ᤹⭥⊐Ⲵݵ᭮⭥⅑ᮠᶕ䇑㇇ⲴDŽ䭽≒⭥⊐а㡜ਟݵ᭮⭥200-300⅑ˈ䬲⭥⊐а㡜ਟݵ᭮⭥350-700⅑DŽḀᵪ⭥⊐ল୶ᇓ〠ަа⿽᭩㢟ӗ૱㜭ཏݵ᭮⭥900⅑ˈѪҶ傼䇱ল୶Ⲵ䈤⌅ˈ⎸䍩㘵ॿՊሩ10Ԧ䈕ӗ૱䘋㹼Ҷݵ᭮⭥䈅傼DŽᗇࡠⲴ⅑ᮠ࠶࡛Ѫ891ˈ863ˈ903ˈ912ˈ861ˈ885ˈ874ˈ923ˈ841ˈ836DŽCompanyConfidentialᒯᇓՐᱟ㲊ٷⲴੇк䘠ᮠᦞⲴ൷٬Ѫ878.9ˈ᰾ᱮቁҾ900DŽնᱟˈࡠᓅ൷٬㩭൘ӰѸ㤳തᡁԜቡ䇔ѪᒯᇓՐᱟ㲊ٷⲴ˛900᧕ਇᒯᇓՐ⧠൘Ⲵ䰞仈ᱟྲօ⺞ᇊ䘉єᶑ㓯Ⲵս㖞CompanyConfidentialٷ䇮Ự傼Ⲵ⨶ٷ䇮Ự傼Ⲵ⨶ᱟ䙫䗁кⲴ৽䇱⌅઼㔏䇑кⲴሿᾲ⦷⨶Ь৽䇱⌅˖ᖃаԦһᛵⲴਁ⭏ਚᴹє⿽ਟ㜭A઼Bˈྲ᷌㜭ᇊBˈࡉㅹ਼Ҿ䰤᧕Ⲵ㛟ᇊҶADŽЬሿᾲ⦷⨶˖ਁ⭏ᾲ⦷ᖸሿⲴ䲿ᵪһԦ൘а⅑ᇎ傼ѝᱟࠐѾнਟ㜭ਁ⭏ⲴDŽCompanyConfidentialٷ䇮Ự傼Ⲵ⨶(㔝)z⭡ҾњփᐞᔲⲴᆈ൘ˈণ֯Ӿ਼аᙫփѝѕṬⲴ䲿ᵪᣭṧˈX1ǃX2ǃX3ǃX4ǃǃǃˈҏнቭн਼DŽzᆳԜⲴн਼ᴹє⿽˄ਚᴹє⿽˅ਟ㜭˖9˄1˅࠶࡛ᡰԓ㺘Ⲵᙫփ൷٬਼ˈ⭡Ҿᣭṧ䈟ᐞ䙐ᡀҶṧᵜ൷٬Ⲵᐞ࡛DŽᐞ࡛ᰐᱮ㪇ᙗDŽ9˄2˅࠶࡛ᡰԓ㺘Ⲵᙫփ൷٬н਼DŽᐞ࡛ᴹᱮ㪇ᙗDŽCompanyConfidentialٷ䇮Ự傼Ⲵࠐњ↕僔¾ٷ䇮Ự傼Ⲵа㡜↕僔ˈণᨀࠪٷ䇮ǃ⺞ᇊỰ傼㔏䇑䟿ǃ䇑㇇Ự傼㔏䇑䟿٬ǃڊࠪߣㆆDŽᨀࠪٷ䇮ᶴ䙐㔏䇑䟿ڊࠪ㔏䇑ߣㆆ䇑㇇㔏䇑䟿٬ڊࠪ᧘ᯝCompanyConfidentialᨀࠪٷ䇮z൘ߣㆆ࠶᷀䗷〻ѝˈӪԜᑨᑨ䴰㾱䇱ᇎ㠚ᐡ䙊䗷ṧᵜᮠᦞሩᙫփ࠶ᐳᖒᔿڊࠪⲴḀ⿽᧘ᯝⲴ↓⺞ᙗ˄∄ྲˈᙫփⲴ৲ᮠ©བྷҾḀњ٬©0˅ˈ䘉ᰦቡ䴰㾱ᨀࠪٷ䇮ˈٷ䇮वᤜ䴦ٷ䇮H0о༷ᤙٷ䇮H1DŽCompanyConfidential䴦ٷ䇮Ⲵ䘹ਆzٷ䇮Ự傼ᡰ֯⭘Ⲵ䙫䗁кⲴ䰤᧕䇱᰾⌅ߣᇊҶᡁԜ䘹ਆⲴ䴦ٷ䇮ᓄᖃᱟоᡁԜᐼᵋ䇱ᇎⲴ᧘ᯝሩ・Ⲵа⿽䙫䗁ࡔᯝˈҏቡᱟᡁԜᐼᵋᇊⲴ䛓⿽᧘ᯝDŽCompanyConfidential䴦ٷ䇮Ⲵ䘹ਆ(㔝а)z਼ᰦˈѪ䴦ٷ䇮Ⲵ䘉њ᧘ᯝᱟнՊ䖫᱃㻛᧘㘫ⲴˈਚᴹᖃṧᵜᮠᦞᨀⲴн࡙Ҿ䴦ٷ䇮Ⲵ䇱ᦞ䏣ཏݵ࠶ˈ֯ᗇᡁԜڊࠪᤂ㔍䴦ٷ䇮Ⲵߣㆆᰦ䭉䈟Ⲵਟ㜭ᙗ䶎ᑨሿⲴᰦىˈ㜭᧘㘫䴦ٷ䇮DŽCompanyConfidential䴦ٷ䇮Ⲵ䘹ਆ(㔝Ҽ)zᡰԕˈаᰖ䴦ٷ䇮㻛ᤂ㔍ˈᆳⲴሩ・䶒üüᡁԜᐼᵋ䇱ᇎⲴ᧘ᯝቡᓄ㻛㿶Ѫᱟਟԕ᧕ਇⲴDŽCompanyConfidentialᶴᶴ䙐䙐ỰỰ傼傼㔏㔏䇑䇑䟿䟿z᭦䳶ṧᵜؑz࡙⭘ṧᵜؑᶴ䙐Ự傼㔏䇑䟿nxzVP0CompanyConfidential䇑䇑㇇㇇ỰỰ傼傼㔏㔏䇑䇑䟿䟿٬٬zᢺṧᵜؑԓޕࡠỰ傼㔏䇑䟿ѝˈᗇࡠỰ傼㔏䇑䟿Ⲵ٬DŽnxzVP0CompanyConfidentialڊࠪߣㆆ1ǃ㿴ᇊᱮ㪇ᙗ≤ᒣ¢ˈҏቡᱟߣㆆѝᡰ䶒ѤⲴ仾䲙2ǃߣᇊᤂ㔍ฏ(criticalregion)઼ࡔ࡛٬(criticalv3ǃࡔᇊỰ傼㔏䇑䟿ᱟ㩭൘ᤂ㔍ฏ4ǃᗇࠪޣҾH0઼ޣҾH1Ⲵ㔃䇪CompanyConfidentialᱮ㪇ᙗ≤ᒣzᱮ㪇ᙗ≤ᒣ¢ᱟᖃٷ䇮↓⺞ত㻛ᤂ㔍Ⲵᾲ⦷z䙊ᑨӪԜਆ0.05ᡆ0.01z䘉㺘᰾ˈᖃڊࠪ᧕ਇٷ䇮Ⲵߣᇊᰦˈަ↓⺞Ⲵਟ㜭ᙗ(ᾲ⦷)Ѫ95%ᡆ99%CompanyConfidentialࡔᇊ⌅ࡉ1ǃྲ᷌Ự傼㔏䇑䟿㩭ޕᤂ㔍ฏѝˈࡉᤂ㔍ٷ䇮2ǃྲ᷌Ự傼㔏䇑䟿㩭ޕ᧕ਇฏѝˈࡉᡁԜ䈤н㜭ᤂ㔍ٷ䇮Ć⌘˖ࡔᇊ⌅ࡉ2Ⲵਜ਼ѹᱟᤷᡁԜ൘䘉њ㖞ؑ≤ᒣл⋑ᴹ䏣ཏⲴ䇱ᦞ᧘㘫ٷ䇮˗ᇎ䱵кˈྲ᷌ᡁԜ᭩ਈ㖞ؑ≤ᒣᡆṧᵜᮠ䟿ቡᴹਟ㜭ᗇࡠоݸࡽ৽Ⲵ㔃᷌DŽCompanyConfidential䴦ٷ䇮઼༷ᤙٷ䇮䴦ٷ䇮༷ᤙٷ䇮1.བྷҾㅹҾ ሿҾ(˘)2.ሿҾㅹҾ བྷҾ(˚)3.ㅹҾ(˙)нㅹҾ ਟ㜭Ⲵ䴦ٷ䇮઼༷ᤙٷ䇮ⲴᛵߥCompanyConfidentialঅঅחחỰỰ傼傼((oonnee--ttaaiilleeddhhyyppootthheessiiss))zḀ⿽᷌≱Ⲵव㻵кḷ᰾ަ≱ਜ਼䟿㠣ቁѪ90%DŽٷᇊᡁԜᜣ䙊䗷ٷ䇮Ự傼ሩ䘉亩䈤᰾䘋㹼Ự傼DŽCompanyConfidentialỰ傼Ⲵᯩੁᙗzྲ᷌㾱Ự傼Ⲵ䰞仈ᑖᴹᯩੁᙗˈྲ⚟⌑ሯભǃ⭥⊐ᰦ᭸ǃཤⴄ䱢ߢࠫᙗㅹᮠ٬ᱟ䎺བྷ䎺ྭ˗䴦Ԧᓏ૱⦷ǃ⭏ӗᡀᵜㅹᮠ٬ࡉᱟ䎺ሿ䎺ྭˈ䘉㊫䰞仈ⲴỰ傼ቡҾঅחỰ傼DŽCompanyConfidentialঅחỰ傼ᤂ㔍ฏ઼Ѥ⭼٬Ѥ⭼٬0.05D᧕ਇฏᤂ㔍ฏ᧕ਇฏ0ᤂ㔍ฏѤ⭼٬ᐖঅחỰ傼ਣঅחỰ傼10.95D0.05DCompanyConfidentialঅחỰ傼Ⲵֻᆀzֻ1:аᇦ伏૱ޜਨᒯ䈤ԆⲴа⿽䉧⢙а㺻ᴹ24ॳݻDŽ⎸䍩㘵ॿՊᜣ㾱Ự傼ал䘉њ䈤⌅DŽԆԜᖃ❦нਟ㜭ᢃᔰ⇿㺻䉧⢙ᶕỰḕˈᡰԕਚ㜭ᣭਆаᇊᮠ䟿Ⲵṧ૱DŽਆᗇ䘉њṧᵜⲴ൷٬ᒦሶަоᒯḷ〠٬∄䖳ቡ㜭ڊࠪ㔃䇪DŽ䈧㔉ࠪ䈕⎸䍩㘵ॿՊⲴ䴦ٷ䇮઼༷ᤙٷ䇮DŽCompanyConfidentialঅחỰ傼Ⲵֻᆀ(㔝а)䀓˖˄а˅ǃ俆ݸࠪᙫփ৲ᮠˈ䘉䟼ᓄ䈕ᱟᙫփⲴ൷٬mˈণণ䉧⢙Ⲵᒣ൷䟽䟿ˈ㔉ࠪٷ䇮઼༷ᤙٷ䇮ˈণ⭘ޜᔿ㺘䗮єњ৽ⲴѹDŽH0:m24(൷٬㠣ቁѪ24)Ha:m24(൷٬ቁҾ24)˄Ҽ˅ǃ⺞ᇊᾲ⦷࠶ᐳ઼⭘ᶕڊỰ傼ⲴỰ傼㔏䇑䟿DŽᡁԜ㾱Ự傼ᣭਆⲴṧᵜ൷٬ᱟ䗮ࡠᒯᇓ〠Ⲵᮠ仍ˈቡਟԕ⭘ṧᵜ൷٬ḷ〠٬Ⲵḷ߶ᐞњᮠⲴཊቁᶕࡔᯝDŽഐ↔ᶴ䙐Ự傼㔏䇑䟿nxzVP*CompanyConfidentialঅחỰ傼Ⲵֻᆀ(㔝Ҽ)˄й˅ǃ䇮ᇊ㖞ؑ≤ᒣѪ95%DŽ᭦䳶ṧᵜؑˈٷ䇮䘹ਆҶањᮠⴞѪ40Ⲵṧᵜˈ䇑㇇ᗇ䇑㇇Ự傼㔏䇑䟿Ⲵ٬Ѫ˄³=0.2˅˄ഋ˅ǃḕ㺘ਟԕᗇࠪѤ⭼٬઼ᤂ㔍ฏˈҏਟ⭘䇑㇇ᵪ䗃ࠪp٬DŽ䇑㇇ࠪⲴZ٬㩭ޕᤂ㔍ฏˈᡰԕᤂ㔍H0ˈণણ⵰ᡁԜ䇔Ѫ䉧⢙Ⲵ䟽䟿䗮нࡠল୶ᇓ〠Ⲵᮠ٬DŽ4076.23nx5895.7402.02476.23nxzVPCompanyConfidentialৼחỰ傼zаӋӗ૱Ḁа亩ᤷḷᗵ享┑䏣൘Ḁањ㤳തˈྲ㋮ᇶ䴦ԦⲴቪረ઼䟽䟿ǃ؍䲙э䘲⭘Ⲵ⭥⍱ᕪᓖㅹㅹˈ䘉㊫䰞仈ⲴỰ傼ҾৼחỰ傼DŽCompanyConfidentialৼחỰ傼zമֻ:zᤂ㔍ฏ઼Ѥ⭼٬0ᤂ㔍ฏѤ⭼٬᧕ਇฏᤂ㔍ฏ10.95D025.02D025.02DCompanyConfidentialє㊫䭉䈟zٷ䇮Ự傼ᱟสҾṧᵜؑڊࠪⲴ㔃䇪ˈ㘼ᡁԜ⸕䚃ṧᵜਚᱟԓ㺘ҶᙫփⲴа䜘ԭؑˈഐ↔ᗵ享㘳㲁ਁ⭏䈟ᐞⲴᾲ⦷DŽ9H0ѪⵏᰦᡁԜᤂ㔍H0Ⲵ䭉䈟〠ѪㅜI㊫䭉䈟ˈ⣟䘉⿽䭉䈟Ⲵᾲ⦷⭘¢ᶕ㺘⽪ˈㆰ〠Ѫ¢䭉䈟ᡆᔳⵏ䭉䈟˗9ᖃH0Ѫ՚ᰦᡁԜ᧕ਇH0Ⲵ䭉䈟〠ѪㅜII㊫䭉䈟ˈ⣟䘉⿽䭉䈟Ⲵᾲ⦷⭘£ᶕ㺘⽪ˈㆰ〠Ѫ£䭉䈟ᡆਆ՚䭉䈟DŽCompanyConfidentialєє㊫㊫䭉䭉䈟䈟ࠪࠪ⧠⧠ⲴⲴ൪൪ਸਸ᧕᧕ਇਇ䴦䴦ٷٷ䇮䇮ᤂᤂ㔍㔍䴦䴦ٷٷ䇮䇮䴦䴦ٷٷ䇮䇮ѪѪⵏⵏ䴦䴦ٷٷ䇮䇮ѪѪٷٷ↓↓⺞⺞--ᰐᰐٿٿᐞᐞII㊫㊫䭉䭉䈟䈟IIII㊫㊫䭉䭉䈟䈟↓↓⺞⺞--ᰐᰐٿٿᐞᐞCompanyConfidential᧕ਇH0ᤂ㔍H0ˈ᧕ਇH1H0Ѫⵏ1ˉĮ˄↓⺞ߣㆆ˅Į˄ᔳⵏ䭉䈟˅H0Ѫ՚£˄ਆ՚䭉䈟˅1ˉȕ˄↓⺞ߣㆆ˅є㊫䭉䈟ਁ⭏Ⲵᾲ⦷є㊫䭉䈟ਁ⭏Ⲵᾲ⦷ྲл㺘ᡰ⽪˖CompanyConfidentialє㊫䭉䈟Ⲵޣ㌫0᧕ਇH0ᤂ㔍H00P1PII㊫䭉䈟I㊫䭉䈟CompanyConfidentialঅṧᵜZỰ傼(1-SampleZ)±ֻ:ਣ㺘Ѫ⍻䟿9њᐕԦᡰᗇࡠⲴᮠᦞ.ٷ䇮ᐕԦᮠᦞᴽӾ↓ᘱ࠶ᐳᒦфᙫփⲴı䴰䇑㇇ᙫփ൷٬ᱟㅹҾ5৺ަ൘95%㖞ؑᓖлⲴ㖞ؑ४䰤.Values4.95.14.655.14.74.44.74.6Select:StatBasicStatistics1-SampleZٷ䇮Ự傼ⲴMinitabᇎ⧠:CompanyConfidentialປޕ৲ᮠCompanyConfidential䗃ࠪ㔃᷌Testofmu=5vsnot=5Theassumedstandarddeviation=0.2VariableNMeanStDevSEMean95%CIZPValues94.788890.247210.06667(4.65822,4.91955)-3.170.002One-SampleZ:ValuesCompanyConfidentialঅṧᵜtỰ傼(1-Samplet)Select:StatBasicStatistics1-Samplet±ֻ:ਣ㺘Ѫ⍻䟿9њᐕԦᡰᗇࡠⲴᮠᦞ.ٷ䇮ᐕԦᮠᦞᴽӾ↓ᘱ࠶ᐳᒦфᵚ⸕ᙫփⲴı䴰䇑㇇ᙫփ൷٬ᱟㅹҾ5৺ަ൘95%㖞ؑᓖлⲴ㖞ؑ४䰤.Values4.95.14.655.14.74.44.74.6CompanyConfidentialປޕ৲ᮠCompanyConfidential䗃ࠪ㔃᷌Testofmu=5vsnot=5VariableNMeanStDevSEMean95%CITPValues94.788890.247210.08240(4.59887,4.97891)-2.560.034One-SampleT:ValuesCompanyConfidentialৼৼṧṧᵜᵜtỰỰ傼傼(2-Samplet)Select:StatBasicStatistics2-Samplet¾䟷⭘DataⴞᖅлⲴFurnace.mtwCompanyConfidentialປޕ৲ᮠCompanyConfidential䗃ࠪ㔃᷌Two-SampleT-TestandCI:BTU.In,DamperTwo-sampleTforBTU.InDamperNMeanStDevSEMean1409.913.020.4825010.142.770.39Difference=mu(1)-mu(2)Estimatefordifference:-0.23525095%CIfordifference:(-1.450131,0.979631)T-Testofdifference=0(vsnot=):T-Value=-0.38P-Value=0.701DF=88BothusePooledStDev=2.8818P-Value0.05᧕ਇٷ䇮CompanyConfidentialᡀᡀሩሩṧṧᵜᵜtỰỰ傼傼(Pairedt)Select:StatBasicStatisticsPairedt¾䟷⭘DataⴞᖅлⲴExh_stat.mtwCompanyConfidentialປޕ৲ᮠCompanyConfidential䗃ࠪ㔃᷌PairedT-TestandCI:Mat-A,Mat-BPairedTforMat-A-Mat-BNMeanStDevSEMeanMat-A1010.63002.45130.7752Mat-B1011.04002.51850.7964Difference10-0.4100000.3871550.12242995%CIformeandifference:(-0.686954,-0.133046)T-Testofmeandifference=0(vsnot=0):T-Value=-3.35P-Value=0.009P-Value0.05ᤂ㔍ٷ䇮CompanyConfidentialঅṧᵜ∄ֻỰ傼(1Proportion)¾ᵜṸֻ䟷⭘ᙫ㔃ᮠᦞᖒᔿ,ⴤ᧕ປޕ৲ᮠ:Select:StatBasicStatistics1Proportionᇎ傼⅑ᮠᡀ࣏⅑ᮠCompanyConfidential䗃ࠪ㔃᷌:UpperExactSampleXNSamplepBoundP-Value13024980.6064260.6428980.631TestandCIforOneProportionTestofp=0.6vsp0.695%CompanyConfidentialৼṧᵜ∄ֻỰ傼(2Proportion)¾