List of top Statistics Questions on Estimation

Let \(X_1,X_2\) be a random sample of size \(2\) from a distribution with the probability density function

Let \(X_1,X_2,X_3,X_4\) be a random sample of size \(4\) from a distribution with the probability density function

Let \(Y_1,Y_2\) be a random sample of size \(2\) from a distribution with the probability mass function

Let \(X_1,X_2\) be a random sample of size \(2\) from an \(Exp(\theta)\) distribution, where \(\theta>0\) is an unknown parameter. Let

Let \(X_1,X_2,\ldots,X_n\) be a random sample of size \(n\;(n\geq 1)\) from a distribution with the probability density function

Let \(X_1,X_2,\ldots,X_n\) be a random sample of size \(n\ (n\geq2)\) from a \(N(0,\sigma^2)\) distribution, where \(\sigma>0\) is an unknown parameter. Which one of the following statements is true?

A marketing research company needs to estimate which of two medical plans its employees prefer. A random sample of \(n\) employees produced the following 98% confidence interval for the proportion of employees who prefer plan A: \((0.241, 0.561)\). What is a good point estimate for estimating the true proportion of employees who prefer that plan?