ST 370 Homework 4
1. An experiment was done to determine if the size of tubing (small or large) and temperature (200 F, 250 F, 300 F) of an oven affects the durability (measured in hours)
of a certain type of tubing plastic tubing. 36 pieces of tube (each
9/18/2014
HOMEWORK ASSIGNMENTS Smith Section ST 371
HOMEWORK and READING ASSIGNMENTS
for ST371-002 Smith Section SPRING 2004
HW # 4 Due Thursday Feb 26, 2004
1. Assume that for single lanches of a space shuttle,
that there is a constant probability = 0.10
Qualitative Data: data that come in terms of categories like ethnicity and sex and brand name. Quantitative Data: data that consists of numbers.
o o o
Nominal: this type of data is just like qualitative data; the only difference is that th
ST 370 Homework 2 KEY
Round answers to 3 decimal places when applicable
1. Airlines overbook flights to maximize profit. Suppose 55 passengers were sold tickets
for a flight on a plane with 50 seats. Let Y be the random variable representing
the number of
Solutions to ST 370 Online Second Exam, Fall 2005
1. .22 = Pr(BC is beaten)* Pr(MTS is beaten)*Pr(M is beaten)= .4*.9*.6=.216
2. 6/9 (9 possible values: (1,1)->X=1, (1,2)->X=2, etc.:
1,2,3,2,4,6,3,6,9 each with prob. 1/9)
3. .874 = Pr(-1.23 < Z < 2.13)=
Quiz 1 Study Guide
Qualitative data are just data that come in terms of categories like ethnicity and sex
and brand name, whereas quantitative data consist of numbers.
Quantitative data comes in a variety of types. The first is nominal, where the numbers
8/17/2016
What is Statistics?
ST 370:
Probability & Statistics
for Engineers
Statistics provides a framework for describing variability in a system
and for determining the impact of various factors on a system
Example: Your cars gas mileage is not al
Chapter 1
' ST 370 - Introduction
Readings: Chapter 1 - Sections 1.1 and 1.2
r; a
Statistics - the science of designing studies or experiments, collectmgdatamodel if I?
ing/ analyzing data for the purpose of decisions making and scientic discovery when
Chapter 2
ST 370 - Sampling and Experimental
Design
Readings: No corresponding readings.
Mhml 5'0. yer" lo Know .
This class is about analyzing data. To get data, we need units for our sample. Well discuss
a. few good and bad ways to obtain units. As en
Exam 1 Practice Problems
1. An experiment is done to determine which paint type dries faster. The factor is paint type
(4 types - Varnish, Enamel, Alkyd, Acrylic). A CRD was used with twenty boards being
painted; 5 with each type of paint. List the 4 type
Sampling Distributions
1)
2)
3)
4)
5)
6)
Sample means are less variable and more normal than individual observations
x = and x = /n
Central limit theorem: SRS of size n from population with and . When n is large, x is approximately N(,/n)
Let X, Y be norm
Attach this page to the front of homework papers
ST 370 Homework Assignment 2
Due date: January 31, 2017
Student name:
Row number:
All problems are from chapter 6 in the book.
You can download the data from my webpage. Remember, you can use a software of
Attach this page to the front of homework papers
ST 370 Homework Assignment 3
Due date: February 7, 2017
Student name:
Row number:
You can download the data from my webpage. Remember, you can use a software of your choosing for any problems that involve c
ST 370 Homework 3 Key
5th edition
13-1
13-2ab
13-7ac
14-5abc
6th edition
13-1 - for part c, the p-value is 0.2332
13-4ab - Note: When they say use = 0.01 this means compare
your p-value to 0.01 (smaller than 0.01 indicates unlikely to
have occurred by ran
ST 370 Homework 1 Key
Some problems are taken/modified from Raos book - Statistical Research Methods in the
Life Sciences - chapter 7.
1. An experiment was done to determine if the size of tubing (small or large) and temperature (200 F, 250 F, 300 F) of a
ST370, Spring 2017
Handout 7: ANOVA
Chapters 10-11 in Probability and Statistics by Jay Devore
Motivating Example
Two students run the same experiment separately to determine how the initial volume (591 ml, 1000 ml, or
2000ml) of Coke effects the percent
ST370, Spring 2017
Handout 2: Sampling and Experimental Design
This class is about analyzing data. Data is information we have obtained to answer some question. In the
context of statistics, data is usually a measurement or observation about some unit (
ST370, Spring 2017
Handout 1: Introduction to Statistics
Statistic is the science of drawing conclusions from data as well as measuring, controlling, and
communicating uncertainty.
Statistical Process
Step 1: Identify the research objective
Step 2: Coll
ST370, Spring 2017
Handout 12: Statistical Inference of Proportions
Chapters 7-9 in Probability and Statistics by Jay Devore
Confidence Intervals for Proportions
With continuous variables we are typically interested in a measure of center and we discussed
ST370, Spring 2017
Handout 1: Introduction to Statistics
Statistic is the science of drawing conclusions from data as well as measuring, controlling, and
communicating uncertainty.
Statistical Process
0 Step 1: Identify the research objective
0 Step 2: Co
ST370, Spring 2017
Handout 5: Continuous Random Variables
Chapter 4 in Devore
Continuous Distributions
A
It is not finite or countable.
has an interval or collection of intervals as its support.
Examples:
Y =maximum daily temperature (interval [40 F, 130
ST370, Spring 2017
Handout 3: Probability
Chapter 2 in Devore
Probability & Inference
Probability is the
trials (the likelihood of an event happening)
of times something would likely occur in many repeated
Probability is used to explain how random quantit
ST370, Spring 2017
Handout 9: Sampling Distributions
Chapters 5.4 and 4.3 in Probability and Statistics by Jay Devore
Motivating Example
A company that manufactures and bottles apple juice uses a machine that automatically fills 16-ounce
bottles. There is
ST370, Fall 2016
Handout 6: Normal Distribution
Section 4.3 in Devore
N(, 2 )
The Normal Distribution
The Normal distribution (or, the Gaussian distribution) is the most common distribution. Many naturally phenomena follow the Normal distribution includin
ST370, Spring 2017
Handout 11: Hypothesis Testing
Chapters 8-9 in Probability and Statistics by Jay Devore
Statistical Inference
Making mathematical claims about a parameter using sample data.
Two main methods for inference:
1.
- Range of values we think
ST370, Spring 2017
Handout 4: Discrete Random Variables
Chapter 3 in Devore
Random Variables
Motivating Example
Assume all the womens basketball teams playing next season are equally strong. We want to know how
many points NC State will score in each game
ST370, Spring 2017
Handout 2: Sampling and Experimental Design
This class is about analyzing data. Data is information we have obtained to answer some question. In the
context of statistics, data is usually a measurement or observation about some unit (pe
ST 370 Homework 2 Key
5th edition 6th edition
6-1
6-1
6-5
6-5
6-8
6-8
6-38
6-46
6-73
6-57
6-65
6-81
6-1
No, the sample mean is the average value. This could fall in between values or even be a
value that the individual observations are unable to be. For i
Attach this page to the front of homework papers
ST 370 Homework Assignment 4
Due date: February 28, 2017
Student name:
Row number:
You can download the data from my webpage. Remember, you can use a software of your choosing for any problems that involve
Chapter 3
1
The Uniform and the Binomial distributions
So far what we have seen is as follows:
1. An experiment is performed.
2. We have a sample space, S, corresponding to this experiment ( i.e., S is the set of all possible outcomes).
3. We have a rando