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ong Kong
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STA 1011: Introduction to Statistics
Assignment 4 Academic year 12/13, Second term
Due Time: 19:00pm, March 11th ,2013. All data sets are in Elearning/Course Content/Data Set
1. A statistical analysis of 1000 long-distance telephone calls made from the he
STAT1011: Introduction to Statistics
Assignment 5
Academic year 12/13, First term
1. A population has four members (called A, B, C, and D). You would like to select a random sample
of n = 2, which you decide to do in the following way: Flip a coin; if it
8. What is your decision?
9. What is your conclusion?
_ Exerise 81 "
For Exercises 1 through 25, perform each of the following
Steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the dec
Examples on Probability (STAT1011, 13-14)
1. A basketball team consists of 6 black and 4 white players. If the players are
randomly divided into two groups of size 5 each, what is the probability that
both groups will have the same number of black players
Summary of Chapter 6
1
Concepts
Condence Interval Estimate for :
1. is known:
Two-sided: A 100(1 )% condence interval (C.I.) on is given by
Concepts
Examples
X Z/2 X + Z/2
n
n
One-sided: A 100(1 )% upper (or lower)-condence bound for is
X + Z
n
or
X Z
STAT1011 Example 2
1. In a distribution of 160 values with a mean of 72, by using the Chebyshevs
theorem, we conclude that at least 120 values fall within the interval (67, 77). Use
the Chebyshevs theorem again, at least what proportion of values fall in
STAT1011 Tutorial 7
CUHK
March 15 & 16, 2017
A Helpful Analogy: Courtroom Trial
A statistical test procedure is comparable to a criminal trial
" : The defendant is not guilty.
$ : The defendant is guilty.
Why state " like this but not interchange " and $
blu34986_AppE.qxd
11/14/13
11:40 AM
Page 1
Algebra Review
A1 Factorials
Example A2
A2 Summation Notation
Evaluate 5! 3!.
A3 The Line
Solution
A1
Definition and Properties of Factorials
The notation called factorial notation is used in probability.
Factori
blu34986_AppF.qxd
11/14/13
12:19 PM
Page 824
Writing the Research Report
After conducting a statistical study, a researcher must write
a final report explaining how the study was conducted and
giving the results. The formats of research reports, theses,
a
STAT1011 Tutorial 8
CUHK
March 22 & 23, 2017
Outline
1. test for proportion
2. % test for variance or s.d.
3. True or False
4. Q&A
test for proportion
Union Membership Nationwide 13.7% of employed wage and salary
workers are union members. A random sampl
STAT1011 Tutorial 5
CUHK
March 1, 2017
Outline
1. Central Limit Theorem
2. Normal Approximation to Binomial
3. Examples
4. Q&A
Central Limit Theorem
As the sample size increases, the shape of the distribution of
the sample means taken with replacement fro
STAT1011 Tutorial 8
CUHK
March 22 & 23, 2017
Outline
1. test for proportion
2. % test for variance or s.d.
3. True or False
4. Q&A
test for proportion
Union Membership Nationwide 13.7% of employed wage and salary
workers are union members. A random sampl
STAT1011
Tutorial 4
1
Outline
Normal distribution
Standard normal distribution
Practice using standard normal
distribution table
Q&A
2
Normal Distribution
A normal distribution is a continuous, symmetric, bell-shaped distribution of a variable.
https:
STAT1011 Tutorial 6
CUHK
March 8 & 9, 2017
Outline
1. Confidence Interval for when is known
2. Confidence Interval for when is unknown
3. Confidence Interval for
4. Confidence Interval for %
5. Minimum Sample Size
6. Q&A
Confidence Interval
Point estim
STAT1011: Introduction to Statistics
Solution for Assignment 3
Academic Year 12/13, First Term
1. Let X be the assets invested in the Dow Jones Fund, Y be the assets
invested in a weak-economy fund and P be the portfolio assets.
Then P = X + (1 )Y , where
STAT 1011, Assignment 6
Suggested solution
1.
a.
!.!"
!
!
!.!"
= 0.995 2.58
!"
= 0.995 0.0073
The 99% confidence interval is (0.9877, 1.0023). You conclude with 99% confidence that the
population mean amount of paint included in a 1-gallon can is between
STAT 1011, Assignment 1 Solution. 2012-2013, term 1
1.a. Numerical and continuous
b .Categorical
c. Categorical
d. Numerical and Discrete
2.a. Reason to choose former one: obtain more accurate data than the latter one; available to do
further detailed ana
STAT 1011 Assignment7
Suggested Solution
1.
a.
, where
Under
b.
and
the population mean amount of paint
. The
test statistics is between two critical values. Hence, at the 0.05 level of
significance, there is no enough evidence that the population mean am
STAT1011: Introduction to Statistics
Solution of Assignment 5
Academic Year 12/13, First Term
1.
The sampling method described in the question is not a simple random sample because not all
samples of
have an equal chance of being selected. For example, th
STAT1011 Assignment2
Suggested Solution
1.
a. We can use mean(), median(), quantile() function in R to compute the mean, median, first
quartile, and third quartile.
> data<-c(26,28,20,20,21,22,25,25,18,25,15,20,18,20,25,25,22,30,30,30,15,20,29)
> mean(dat
322
Chapter 6 The Normal Distribution
.:5 Applying the Concepts 6-1
Assessing Normality
Many times in statistics it is necessary to see if a set of data values is approximately normally dis
tributed. There are special techniques that can be used. One tech
STAT1011: Introduction to Statistics
Assignment 4
Academic year 12/13, First term
Note: Please download all data sets on e-learning/STAT1011/Course Content/Data Sets.
1. Suppose the cumulative distribution function of the random variable X is
0
x < 2
0.25
STAT1011: Introduction to Statistics
Assignment 2
Academic year 12/13, First term
Note: Please download all data sets on e-learning/STAT1011/Course Content/Data Sets.
1. The data in the le bankcost1.xls contain the bounced check fees, in dollars, for a sa
STAT1011: Introduction to Statistics
Assignment 7
Academic year 12/13, First term
1. The manager of a paint supply store wants to determine whether the mean amount of paint contained in 1-gallon cans purchased from a nationally known manufacturer is actua
STAT1011: Introduction to Statistics
Assignment 1
Academic year 12/13, First term
Note: Please download all data sets on e-learning/STAT1011/Course Content/Data Sets.
1. For each of the following variables, determine whether the variable is categorical or
STAT1011: Introduction to Statistics
Assignment 3
Academic year 12/13, First term
1. Suppose that there are two alternative investments for the coming year. The rst investment is
a mutual fund that consists of the stocks that comprise the Dow Jones Indust