STAT 4705: Homework 1
This homework is due on Friday, May 27th 11:59 am (noon). Please submit it on canvas
with a single PDF format file.
1. Describe if the following scenario is either a retrospective study, an observational study
or a designed experimen
Stat 3704: Stats for Eng Apps
Low
4 hr
Low
8 hr
How about k factors
High
4 hr
High
8 hr
Huge number of
Eus are needed!
Terminology
Terminology
Factor the explanatory variables
Levels the specified values of each factor
Typically 2 or 3 levels
Often 2 leve
Statistics 4705: Homework 3
Instructions
This homework is due on Friday June 8th at 11:59 pm. Please turn it in in one
single PDF
Problem 1: Expected Value
(10 pts)
From a box of 4 dimes and 2 nickels, 3 coins are selected at random without replacement.
L
STAT 4705: Homework 3
1. From a box of 4 dimes and 2 nickels, 3 coins are selected at random without
replacement. Let T be a random variable expressing the total of the 3 coins.
(a) Find the probability distribution function of T ;
(b) Find the expected v
STAT 4705: Homework 4
1. Albino rats used to study the hormonal regulation of a metabolic pathway
are injected with a drug that inhibits body synthesis of protein. The probability
that a rat will die from the drug before the experiment is over is 0.2.
(a)
STAT 4705: Homework 6
This homework is due on Thursday, June 30th 11:59 am (noon). No late homework
will be accepted. Please submit it on canvas with a single PDF format file.
1. If X is a binomial random variable, show:
(a) P = X/n is an unbiased estimat
STAT 4705: Homework 3
This homework is due on Friday, June 10th 11:59 am (noon). No late homework will be
accepted. Please submit it on canvas with a single PDF format file.
1. From a box of 4 dimes and 2 nickels, 3 coins are selected at random without re
STAT 4705: Homework 4
This homework is due on Friday, June 24th 11:59 am (noon). No late homework will be
accepted. Please submit it on canvas with a single PDF format file.
1. Find the moment generating function for X, with probability density function:
STAT 4705: Homework 1
This homework is due on Friday, June 3rd 11:59 am (noon). No late homework will be
accepted. Please submit it on canvas with a single PDF format file.
1. Consider the sample space S = cfw_copper, sodium, nitrogen, potassium, uranium,
STAT 4705: Homework 4
This homework is due on Friday, June 17th 11:59 am (noon). No late homework will be
accepted. Please submit it on canvas with a single PDF format file.
1. The daily amount of coffee, in liters, dispensed by a machine located in an ai
Stat 3704: Stats for Eng Apps
Chapter 7: Introduction to Factorial-Based
Experiments
Section 7.2 -
The Factorial Design
The treatment combinations for the full
factorial design consist of every possible
combination of the two levels for the k factors.
Th