# Question

Let X1, X2, . . . , Xn be a random sample from N(0, θ), where σ2 = θ > 0 is unknown. Argue that the sufficient statistic

are independent.

are independent.

## Answer to relevant Questions

Let X1, X2, . . . , Xn be a random sample from a gamma distribution with known α and with θ = 1/τ. Say τ has a prior pdf that is gamma with parameters α0 and θ0, so that the prior mean is α0θ0. (a) Find the posterior ...Let X have the pdf Let X equal the weight in grams of a “52-gram” snack pack of candies. Assume that the distribution of X is N(μ, 4). A random sample of n = 10 observations of X yielded the following data: (a) Give a point estimate for ...A test was conducted to determine whether a wedge on the end of a plug fitting designed to hold a seal onto the plug was doing its job. The data taken were in the form of measurements of the force required to remove a seal ...If Y1/n and Y2/n are the respective independent relative frequencies of success associated with the two binomial distributions b(n, p1) and b(n, p2), compute n such that the approximate probability that the random interval ...Post your question

0