mi primer doc

Inferencia estadistica

##Distribuciones muestrales:

  • Distribucion normal
  • Distribucion f
  • Distribucion Chi
  • Distribucion t

La funcion de densidad de la distribucion normal de media \(\mu\) y varianza \(\sigma^2\) \[f(x)= \frac{1}{\sqrt{2\pi}{\sigma}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\]

sea \(x\sim N(4, 1)\) Calcular: - \(P(X<3.7)\)

pnorm(3.7, mean = 4, sd = 1, lower.tail = T)
## [1] 0.3820886

sea \(x\sim N(4, 1)\) Calcular: - \(P(x>a)=0.64\)

qnorm(0.64, mean = 4, sd = 1, lower.tail = F)
## [1] 3.641541
library(tigerstats)

sea \(x\sim N(4, 1)\) Calcular: - \(P(X<3.7)\)

pnormGC(3.7, region="below", mean = 4, sd=1, graph = TRUE)

## [1] 0.3820886

sea \(x\sim N(4, 1)\) Calcular: - \(P(x>a)=0.64\)

qnormGC(0.64, region="above", mean = 4, sd=1, graph = TRUE)

## [1] 3.641541