Statistical Inference

95 percent confidence A₁ approximation assume average binomial distribution Chebyshev's inequality choose coin compute confidence interval cov(X critical region defective defined density function f(x distribution function distribution with mean distribution with parameters empirical distribution function error Example exponential exponential distribution Figure Find the probability finite function F given H₁ Hence Hint identically distributed independent random samples integral joint distribution large numbers law of large length Let X1 maximum likelihood estimate median n₁ normal distribution null hypothesis observed P-value P(X₁ P₁ percent confidence interval Poisson distribution population probability function Problems for Section proportion reject sample mean sample space Show standard deviation standard normal sufficient statistic Suppose T₁ Theorem tossed unbiased estimate uniform distribution var(X variance o² X₁ Y₁ zero elsewhere zero otherwise μ₁