STAT2800: Lecture 16
CHAPTER 6: HYPOTHESIS TESTING
Large-Sample Tests for the Difference Between Two
Means (Section 6.5, page 423)
So far, weve only been looking at a single mean, its now time to
exte
January 30 2005, Lecture 8:
CHAPTER 3: BIVARIATE AND
MULTIVARIATE DATA AND DISTRIBUTIONS
Recap on last class: We started Chapter 3 on Bivariate Data and
found scatter plots along with Pearsons Correla
STAT2800 Midterm Feb 12, 2009 2
1. (8 marks) If :1: is a binomial random variable With parameters 71 and 7r,
(a) Show that the mean of the random variable a: is 7m (6 marks)
(b) If n 15 and 7r 3; Find
Statistics and Probability for Engineers STAT2800U
Assignment 5
Due: 2:30 p.m. Friday, 17 February 2012
All answers should be kept to 4 decimal places
1. The Lognormal Distribution
From Navidi (3ed),
Statistics and Probability for Engineers
STAT2800U Winter 2012
*
ANSWER SHEET FOR Assign. No. 7
*
Mark:_/30
FROM SEC 5.3:
#4: circle one ->
NO
#8 (a): the value of the 95% CI lower bound only _3409.29
Assignment 1
Exercise 1 (8 marks)
For each of the following settings in Exercise 1, (i) identify the
variable(s) in the study, (ii) explain the type of data for each
variable in the study (e.g., categ
Statistics and Probability for Engineers STAT2800U
Assignment 4
All answers should be kept to 4 decimal places
1. The Binomial Distribution
From Navidi (3ed), Sec 4.2: #2, #6, #8
2. The Poison Distrib
Statistics and Probability for Engineers STAT2800U
Assignment 10
Due: 2:30 p.m. Monday, 9 April 2012
All answers should be kept to 4 decimal places
1. The Least-Squares Line
From Navidi (3ed), Sec 7.2
Exercise 1 (10 marks)
Assignment 2
Let X represent the positive difference between the scores obtained from
two dice.
a) Find the probability mass function for X.
b) Show that X follows a valid probab
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Question
Q1
1/1.0
If the pdf of a random variable is given as f (x) =
x
k
where 1 < x < 3
Find the value of k:
Your Answer:
Correct
4
Comment:
Q2
1/1.0
A probabilit
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Question
Q1
1/1.0
If X is a random variable with the (continuous) distribution shown below, find (3 decimal accuracy) P(1 <
X < 5):
Correct
0.1
Your
Answer:
Comment
Statistics and Probability for Engineers STAT2800U
Assignment 6
Due: 2:30 p.m. Friday, 2 March 2012
All answers should be kept to 4 decimal places
1. The Central Limit Theorem
From Navidi (3ed), Sec 4
STAT2800U: Lecture 17
CHAPTER 6: HYPOTHESIS TESTING
Small-Sample Tests for the Difference Between Two
Means Contd (Section 6.7, page 435)
When the Populations Have Equal Variances
Suppose that a srs o
Statistics Cheat Sheets
Descriptive Statistics:
Term
Meaning
Sort
Mean
Population Formula
Sort values in
increasing order
Average
N
The middle value
half are below
and half are above
Mode
The value w
Navidi-38137
nav51607_appa
October 27, 2006
10:58
A
Appendix
Tables
Table A.1: Cumulative Binomial Distribution
Table A.2: Cumulative Normal Distribution
Table A.3: Upper Percentage Points for the Stu
STAT2800U: Lecture 7
CHAPTER 4: COMMONLY USED DISTRIBUTIONS
The Binomial Distribution Contd (Section 4.2, page
203)
THE BINOMIAL DISTRIBUTION (discrete)
Recall: p(x) = proportion of batches with x Ss
STAT2800U: Lecture 8
CHAPTER 4: COMMONLY USED DISTRIBUTIONS
The Normal Distribution (Section 4.5, page 241)
Definition
A continuous variable x is said to have a normal distribution with
parameters and
STAT2800: Lecture 14
CHAPTER 6: HYPOTHESIS TESTING
Example: Consider the population of weights (in kg) of all newborn
babies in Canada for a particular year. In this case, the Population
Mean is the a
STAT2800: Lecture 15
CHAPTER 6: HYPOTHESIS TESTING
In Section 6.1, I described a method for testing a hypothesis about a
population mean, based on a large sample. Recall the null and
alternative hypot
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Question
Q1
1/1.0
Let X be a continuous random variable defined on R . Then for any real number x:
P(X < x) < P(X x)
Correct
Q2
1/1.0
Your
Answer:
False
Comment:
Fa
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Question
Q1
1/1.0
If X is a normal random variable with mean 2, and if the probability that X is less than 3.37 is
0.8249, then what is the standard deviation of X
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Question
Q1
0/1.0
Learning Objective - be able to calculate the y-intercept(a) of a regression line
Data values for the shear strength (y) of 12 spot welds of diffe
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Question
Q1
1/1.0
If X is a normal random variable with standard deviation 3.745, and if the probability that
X is less than 7.048 is 0.5658 (as shown below), then
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Question
Q1
0/1.0
If X is a normal random variable with mean 6.5 and standard deviation 2.8, then find
the value x such that P(Z < x) is equal to 0.86, as shown bel
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Question
Q1
0/1.0
Consider the standard normal Z ~ N(0,1). What z value has 15% of the data lying between
itself and the mean?
Incorrect
Your
Answer:
0.2697
Correct