Homework # 14 (-mudassir)

Dear All, From the candidate homework submissions and class discussion, we have picked a subset of problems as your homework. Carefully prepare your answers for the following problems for your exam. Good luck! Given a set of points in the plane as $latex \{(0.2,0.22), (0.4,0.4),(0.8,0.75),(0.9,0.91)\}$ find a line that minimizes sum of squares of errors …

Homework 18007 – 18023

Problem 1. For a sample X1, X2, X3, X4 from a normal distribution n (μ , 1), an interval estimator of μ is [ -1, +1]. Find the probability that μ is covered by our interval estimator. Also explain the merits and demerits of using the interval estimator [ -1, +1] over the point estimator …

Homework 13

Question 1:- Suppose that an dermatologist wants to test the hypothesis that at least 30% of the public is allergic to some cheese products. Explain how the dermatologist could commit (a) a type I error; (b) a type II error   Question 2:-  Consider the following exercise: The policy of a particular bank branch is that its ATMs …

Homework 14

Question 1 Recently Luc bought a new driver (the longest-hitting golf club).  Prior to buying this club he had carefully collected statistics on how far he was able to hit the ball with his old driver.  The mean distance was 200 yards. He has just begun using the new driver and is curious whether the …

Homework # 13

As there is no grade for this assignment you don’t have to submit it. However questions from this homework may appear on one or more graded quizzes/exams . Question 1: Blood glucose levels for obese patients have a mean of 100 with a standard deviation of 15. A researcher thinks that a diet high in …

Last Homework : Hypothesis Testing, Linear Regression, Mixture Models

Question 1 An e-commerce research company claims that 60% or more graduate students have bought merchandise on-line. A consumer group is suspicious of the claim and thinks that the proportion is lower than 60%. A random sample of 80 graduate students show that only 22 students have ever done so. Is there enough evidence to …

Lecture 27: Hypothesis Testing, Mixture Models and Regression

Class Announcements: All home works and assignments before and after midterms are part of final exam. People who missed midterms exams should get an approval from HOD for not taking the exam before appearing in final. Lecture Agenda: Hypothesis Testing Expectation and Maximization Regression Hypothesis Testing: HT is to test a claim which may or …

P&S Lecture # 26: Interval Estimation

Previously we have done the "Point Estimation" which do not give us exact value of parameter but close to actual one. In point estimation we can estimate only one value which is close to actual value. In Interval Estimation We estimate two points and the actual value can be lie between these two points with …

Homework 12

As there is no grade for this assignment you don’t have to submit it. However questions from this homework may appear on one or more graded quizzes/exams. 1. Prove that $latex S_1$ is unbiased 2. Install relevant packages in your R to solve MLE and MAP problems. 3. Install any package to compute z and …

Lecture 25 MAP( maximizing a posteriori)

In the last lecture, We have discussed about MLE(Maximum likelihood estimation) Maximum Likelihood function: In  maximum likelihood,  we have a data and we would like to find which parameter has generated it so we fix the parameter and get the data and check whether that data matches our data or not. By doing this we …