UFPI-Intervalos de Confiança
-
Upload
marcos-gabriel-coimbra-franca -
Category
Documents
-
view
12 -
download
0
description
Transcript of UFPI-Intervalos de Confiança
![Page 1: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/1.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 1/19
![Page 2: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/2.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 2/19
µ σ
µ
σ
![Page 3: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/3.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 3/19
µ σ
µ
σ
![Page 4: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/4.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 4/19
µ σ
µ
σ
− α
α
![Page 5: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/5.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 5/19
µ σ
µ
σ
µ σ
Z = x − µσ√ n
− α
P (
−Z α
≤Z
≤Z α
) =
−α
P
−Z α
≤ x −µσ√ n
≤ Z α
=
− α
![Page 6: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/6.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 6/19
µ σ
µ
σ
P x − Z α
σ√ n ≤ µ ≤ x + Z α
σ√ n
= − α
µ
σ
![Page 7: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/7.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 7/19
µ σ
µ
σ
σ =
![Page 8: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/8.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 8/19
µ σ
µ
σ
µ σ
σ
σ
σ
x
x − µ
S
√ n
t = x − µ
S √ n
−
![Page 9: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/9.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 9/19
µ σ
µ
σ
− α
P (
−t α
≤t
≤t α
) =
−α
µ
σ
P (−t α
≤ x −µ
S √
n ≤t α
) =
−α
![Page 10: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/10.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 10/19
µ σ
µ
σ
P x − t α
S √ n ≤ µ ≤ x + t α
S √ n
=
− α
(n − )
µ σ
![Page 11: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/11.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 11/19
µ σ
µ
σ
![Page 12: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/12.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 12/19
µ σ
µ
σ
− α
σ
σ
S
(n− )S
σ
(n−
)
X n−
= (n −
)S
σ
P
(n− )S
X
sup ≤ σ ≤ (n− )S
X
inf
=
− α
ϕ = n −
σ
![Page 13: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/13.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 13/19
µ σ
µ
σ
n = S = − α = %
![Page 14: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/14.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 14/19
µ σ
µ
σ
P
S
(n −
)
X
sup
≤ σ ≤ S
(n −
)
X
inf
=
− α
ϕ = (n − )
![Page 15: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/15.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 15/19
µ σ
µ
σ
σf
pq n
Z = f − p
pq n
![Page 16: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/16.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 16/19
µ σ
µ
σ
− α
P (−Z α
≤ Z ≤ Z α
) = − α
P −Z α
≤ f −p √ pq n
≤ Z α
=
− α
P f − Z
α
pq n ≤ p ≤ f + Z
α
pq n= − α
![Page 17: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/17.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 17/19
µ σ
µ
σ
(n >
) q =
− p
(
−f )
P
f − Z α
f ( − f )
n ≤ p ≤ f + Z α
f ( − f )
n
= − α
![Page 18: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/18.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 18/19
µ σ
µ
σ
P
f − Z α
f ( −f )
n
N −nN −
≤ p ≤ f + Z α
f ( −f )
n
N −nN −
=
− α
![Page 19: UFPI-Intervalos de Confiança](https://reader030.fdocument.pub/reader030/viewer/2022020811/563db84a550346aa9a925233/html5/thumbnails/19.jpg)
7/17/2019 UFPI-Intervalos de Confiança
http://slidepdf.com/reader/full/ufpi-intervalos-de-confianca 19/19
µ σ
µ
σ