Suppose a simple random sample (X; i.i.d. observations) of sizen is to be taken from a Normal distribution with both parameters u and o are unknown. Let 0 = o be the parameter of interest. Let 0. = c E1 (X; - X) denote the estimator of 0 = o2 for a specified c > 0 where c depends on n. =D1 Answer the following: a) If n = 46, 0, is unbiased, and Var(0.) = kot then k = b) If n = 28, 0, is the MLE, and Var(@.) = ko4 then k = c) If n = 30, 0, is the MLE, and MSE(0,, 0) = k oʻ4 then k = d) If n = 13, and 0, has the smallest MSE then c =

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A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.