Word Count : 545

---

Consider a random sample (X_1, X_2, \ldots, X_n) drawn independently from a normal distribution with unknown mean (\mu) and known variance (\sigma^2 = 16). The probability density function of each observation is given by [ f(x_i;\mu) = \frac{1}{\sqrt{2\pi \cdot 16}} \exp\left(-\frac{(x_i - \mu)^2}{2 \cdot 16}\right). ] The joint likelihood function based on the sample is [ L(\mu) = \prod_{i=1}^{n} f(x_i;\mu) = (2\pi \cdot 16)^{-n/2} \exp\left(-\frac{1}{2 \cdot 16} \sum_{i=1}^{n}(x_i - \mu)^2 \right). ] To construct the likelihood ratio test for testing the hypotheses [ H_0: \mu = 500 \quad \text{against} \quad ___ ____ ________ ________ ____ ______ ______ ____ ______ _______ ____ ___.
________ __________ __________ _____ ____ ________ ______ ________ ______ ______ _____ ___.
_______ _____ ____ ____ ________.
____ ____ _____ ___ ___ _____ ____ __________ __________.
____ ________ ___ _______ _______.
_______ ______ _______ _________ ______ _____ __________ ___ _________ ________.
_______ ______ ________ _________ _________ ____ _____ ______ ___ ____ _____.
__________ ________ ______ ______ ___ _________ ___.
___ _______ _______ _____ _________.
____ _____ ___ _______ _____ _____ _______ ______ __________ _________ _________.
_______ ____ _________ ____ _____ __________ ____.
_________ ____ _________ _______ ______ _______ _______ _________ _______ _______.
____ ____ ___ _____ ______ ___ ________ ____ _________ ____ _________.
____ ____ __________ ______ ________ _____.
___ _______ _____ ________ ___ __________ _________ ______ ______.
___ ___ __________ _________ __________ _________ _________ _________ ________ ________ ______.
_________ _____ ___ _______ __________.
_________ ________ ________ ______ ____ ______ _______.
____ _______ ________ _____ ________ _________.
__________ _____ ________ __________ _______ ________ ___ ______.
_______ __________ _______ _________ ____ _______ ______ _______ ________ __________.
_______ _____ ______ ______ __________ ____ __________ __________ ___.
________ ___ ____ __________ ________ ________ _________ ___ _________ ________ __________.
__________ _______ ________ ___ ________ ________ ________ ________ ______ ____.
_______ _______ _____ _______ _________ ___ _______ ____ _____.
________ ________ ______ ___ ____ ______ ____ ______ _________ _______ ________ ______.
__________ __________ _______ __________ ___ _________ ______ __________ __________ ___ _______.
_____ _________ _________ ____ _________ __________ ____.
___ ____ ______ ____ _______ __________ _________ ________.
__________ ______ __________ ____ _________ ________ ______ ________ ____ _____.
______ _________ ________ ________ _________ ___.
_________ _______ _______ _________ __________ _____ _________ ________.
____ __________ _______ ____ ___ _____ __________.
__________ ___ ________ ______ _________ _________ ______ ___.
___ ___ _________ _____ _______ ____.
_____ _____ _____ _______ __________ _________ _______.
___ ________ _________ _____ ________ _____ ___ ________ ___ ____ ___.
______ _____ ____ ___ __________.
_____ ___ _____ ____ ________ _______.
__________ _____ ____ _________ ____ _________ __________ ___.
_____ _______ _______ ___ ____ ________ _________.
__________ ____ _________ __________ ________.
_________ _________ ___ ________ ___ ____ ______.
___ ______ ________ ______ _________ ____ ____ ___.
______ ___ ____ _______ ___ ___ _______ ____ ______.
_______ ________ _____ ________ _____.
___ _________ _______ ______ ______ ________ __________ __________ _________ _________ __________ _______.
_____ _____ ______ ______ ______ ______ ________ __________ __________ _________ ____.
____ ____ ________ ___ ________.
______ ___ _______ ________ ___ _________ ___ __________ __________.
__________ ________ ____ ____ ___ ____.
______ ___ ______ _______ ______.
____ __________ __________ _______ ______ ___ _____ ______ _______.
____ _______ ______ ___ __________ ____ __________ _________.
_____ ____ ____ ______ ___.
_________ __________ _____ ______ ______ _____ ______ _________.
Get Full Answer on WhatsApp