Japan Statistical Society Certificate 2nd -Lesson 2

Transcript

1. 20MINS BY AYAME.O 2024೥7݄1೔(݄) ౷ܭݕఆ̎ڃ ରࡦߨٛ ୈ̎ճ
2. ໨࣍ 1. ֮͑Δ΂͖ެࣜʢ෼ࢄʹ͍ͭͯʣ 2. ࣄ৅ؒͷಠཱɾഉ൓ 3. ಠཱੑͷݕఆʢظ଴౓਺ͱࣗ༝౓ʣ 4. ୈ1छͷաޡɺୈ2छͷաޡ
3. 
   ֮͑Δ΂͖ެࣜʢ෼ࢄʹ͍ͭͯʣ ɹɹɹ
   ͸ඪຊ਺ʢαϯϓϧαΠζʣ
   ɹɹɹ
   ͸ݸʑͷσʔλ
   ɹɹɹ
   ͸σʔλͷฏۉ ඪຊ෼ࢄ
   ෆภ෼ࢄ ɹෆภ෼ࢄͷಛ௃ɿ ɹҰகੑͱෆภੑΛ࣋ͭਪఆྔ Ұகੑɿ
   ඪຊ਺͕େ͖͘ͳΔͱਪఆྔ͕฼਺΁ۙͮ͘͜ͱ ෆภੑɿ
   ඪຊฏۉͷظ଴஋ΛͱΔͱ฼ฏۉͱҰக͢Δ͜ͱ
4. 
   ࠃޠͱ਺ֶͷ఺਺ͷΑ͏ͳʮೋ૊ͷରԠ͢Δσʔλʯͷؒͷؔ܎Λද͢਺஋
   ʮ9ͷภࠩ
   º
   :ͷภࠩʯͷฏۉ 
   ֮͑Δ΂͖ެࣜʢ෼ࢄʹ͍ͭͯʣ ڞ෼ࢄ
   ૬ؔ܎਺ ڞ෼ࢄ͸εέʔϧม׵ʹରͯ͠ෆมͰͳ͍ͱ͍͏໰୊఺͕͋ΔͷͰ
   ͦΕͧΕͷʁʁʁʁͰׂͬͯ͋͛ͯεέʔϧΛ߹Θͤͯ͋͛Δ
5. 
   ࠃޠͱ਺ֶͷ఺਺ͷΑ͏ͳʮೋ૊ͷରԠ͢Δσʔλʯͷؒͷؔ܎Λද͢਺஋
   ʮ9ͷภࠩ
   º
   :ͷภࠩʯͷฏۉ 
   ֮͑Δ΂͖ެࣜʢ෼ࢄʹ͍ͭͯʣ ڞ෼ࢄ
   ૬ؔ܎਺ ڞ෼ࢄ͸εέʔϧม׵ʹରͯ͠ෆมͰͳ͍ͱ͍͏໰୊఺͕͋ΔͷͰ
   ͦΕͧΕͷඪ४ภࠩʢ෼ࢄʣͰׂͬͯ͋͛ͯεέʔϧΛ߹Θͤͯ͋͛Δ
6. ࣄ৅"ͱࣄ৅#͕ಠཱͰ͋Δͱ͖ҎԼ͕੒Γཱͭ
   
   ࣄ৅ؒͷಠཱɾഉ൓ ٯʹ͜ͷެ͕ࣜ੒Γཱͨͳ͍ͱ͖͸ ̎ͭͷࣄ৅͸ैଐ͍ͯ͠Δͱ͍͏
7. ࣄ৅"ͱࣄ৅#͕ഉ൓Ͱ
   ͋Δͱ͖ӈ͕੒Γཱͭ
   
   ࣄ৅ؒͷಠཱɾഉ൓
8. 
   ࣄ৅ؒͷಠཱɾഉ൓ ಠཱͰ͋Δͱ͖
9. 2
   ͭͷࣄ৅"
   #ʹ͕ؔͯ࣍͠੒Γཱͭͱ͢Δ
   ɹ
   ͜ͷͱ͖ࣄ৅"
   #͸ಠཱͰ͔͢ʁഉ൓Ͱ͔͢ʁ
   
   1 " 
   
   1 # 
   
   1 "㱮# 
   
   ࣄ৅ؒͷಠཱɾഉ൓
10. 
    1 " 
    
    1 # 
    
    1 "㱮# 
    ഉ൓ͳͱ͖
    1 "㱮#
    
    1 "
    
    1 #
    ɹɹɹɹɹ
    1 "㱮#
    
    
    
    
    
    
    㱠
    
    ಠཱͳͱ͖
    1 "㱮#
    
    1 "
    
    1 #
    
    1 "㱯# ɹ˞1 "㱯#
    
    1 " ɾ1 #
    ɹɹɹɹɹɹɹ
    
    1 "㱮#
    
    
    
    
    
    
    
     
    ࣄ৅ؒͷಠཱɾഉ൓
11. 
    1 " 
    
    1 # 
    
    1 "㱮# 
    ഉ൓ͳͱ͖
    1 "㱮#
    
    1 "
    
    1 #
    ɹɹɹɹɹ
    1 "㱮#
    
    
    
    
    
    
    㱠
    
    ಠཱͳͱ͖
    1 "㱮#
    
    1 "
    
    1 #
    
    1 "㱯# ɹ˞1 "㱯#
    
    1 " ɾ1 #
    ɹɹɹɹɹɹɹ
    
    1 "㱮#
    
    
    
    
    
    
    
     
    ࣄ৅ؒͷಠཱɾഉ൓ A. ഉ൓Ͱ͸ͳ͍ ಠཱͰ͋Δ
12. 2
    ࣍ͷදʹ͍ͭͯɺஉࢠͰ"͕޷͖Ͱ͋Δͱ౴͑Δظ଴౓਺͸ʁ
    ɹ
    ·ͨಠཱੑͷݕఆͷغ٫ҬΛٻΊΔͱ͖ͷΧΠ৐෼෍ͷࣗ༝౓͸ʁ
    
    ಠཱੑͷݕఆʢظ଴౓਺ͱࣗ༝౓ʣ "͕޷͖ "͕ݏ͍ ߹ܭ உࢠ    ঁࢠ    ߹ܭ   
13. ظ଴౓਺ͷܭࢉɿʢஉࢠʣºʢ"͕޷͖ʣ×ʢશਓ਺ʣ
    ɹɹɹɹɹɹɹɹʢ
    
    ʣºʢ
    
    ʣ×ʢ
    
    ʣʢ
    
    ʣ
    ࣗ༝౓ͷܭࢉɿʢߦ਺
    
    ʣºʢྻ਺
    
    ʣ
    ɹɹɹɹɹɹɹʢ
    
    
    ʣºʢ
    
    
    ʣ
    
    
    ಠཱੑͷݕఆʢظ଴౓਺ͱࣗ༝౓ʣ "͕޷͖ "͕ݏ͍ ߹ܭ உࢠ    ঁࢠ    ߹ܭ   
14. 
    ୈछͷաޡɺୈछͷաޡ
15. 
    ୈछͷաޡɺୈछͷաޡ
16. 
    ୈछͷաޡɺୈछͷաޡ 2
    ʢЌ
    Ћʣͷάϥϑ͸
    ɹɹͲΕ͕ਖ਼͍͠Ͱ͔͢ʁ
17. 
    ୈछͷաޡɺୈछͷաޡ ୈ2छͷաޡ(β)͕૿͑Δͱ ਖ਼͍͠൑அ(ؼແԾઆΛड༰) ͭ·Γ(1 - α)͕์෺ઢతʹ૿͑Δ
18. ࢼݧ࣌ؒͷ̌̕෼͸͘͢͝୹͘ײ͡Δͱࢥ͍·͢ɻ
    ࢼݧલʢ̍ʙ̎िؒલ͙Β͍ʣ͸ͱʹ͔͘
    աڈ໰Λղ͖·ͬͯ͘໰୊Λղ͘೴Λ࡞Δ΂͠ʂ
    डݧऀ΁ݸਓతͳΞυόΠε
19. ͓ΘΓ