Chapter 9: MBA Statistics
Notes
Hypothesis Testing
Basic Principles of Hypothesis Testing
Objectives
1. Define the null and alternate hypotheses
2. State conclusions to hypothesis tests
A hypothesis is a claim or statement about a property of a population
Chapter -1, p 5
Refer to the data set in Table 1.7.
a. What is the average price for the cordless telephones?
b. What is the average talk time for the cordless telephones?
c. What percentage of the cordless telephones have a voice quality of excellent?
d.
CHAPTER 7:
PROBABILITY
DISTRIBUTION
PREPARED BY: C.F.TAN (MSC)
Random Variable
Example 1:
Example 2:
Discrete Random Variable
Example 3:
Example 4:
Example 5:
Example 6:
EXERCISES 7.1:
Mathematical Expectation
Experimental Method
Theoretical Method
Exampl
CHAPTER 8:
SAMPLING
DISTRIBUTION
PREPARED BY: C.F.TAN (MSC)
Example 1:
Distribution of the Sample Means for
an Infinite Population (or Finite
Population with Replacement)
Example 2:
Example 3:
Distribution of the Sample Means for a
Finite Population witho
CHAPTER 6:
PROBABILITY
PREPARED BY: C.F.TAN (MSC)
Introduction to Probability
For a situation in which several different outcomes are possible,
probability is defined as a fraction or a proportion of all possible outcomes.
If the possible outcomes are ide
CHAPTER 3:
FREQUENCY
DISTRIBUTION
PREPARED BY: C.F.TAN (MSc)
Frequency Distribution
A
frequency
distribution
is
an
_
_ . A
frequency distribution can be structured either as a table or a
graph to presents a picture how the individual scores are
distribute
CHAPTER 2 :
STATISTICAL
NOTATION
PREPARED BY: C.F.TAN (MSc)
Scores
Measuring a variable in research study typically yields a value
or a score for each individual. Raw scores are the _,
_ unchanged score obtained in the study. Normally,
scores of a particu
CHAPTER 1:
INTRODUCTION
TO STATISTICS
PREPARED BY: C.F.TAN (MSc)
Introduction of Statistics
Statistics
Descriptive statistics
Inference statistics
Terms and Definitions
Population
Sample
Parameter
Learning Check:
1.
A researcher is intended in the r
PREPARED BY : C.F.TAN (MSC)
From a set of data, two types of information can be obtained,
that is _ and _ .
The role of measure of central of tendency is to determine the
central value of a set of data. Measures of central of tendency
involve using differ
PUTRA INTERNATIONAL
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In partnership with
TROY UNIVERSITY
STATISTICS 1
STA 2281
SPRING 2013
Instructor:
Mr. C.F.TAN
Course prerequisite:
STA 2281
Office hours:
Monday Friday (8.30 am 5.30 pm)
Email :
[email protected]
Consultation hours:
8.30 am 1
Chapter-3, p-29
a) Range = largest value smallest value
= 60 28
= 32
Interquartile range (IQR) = third quartile (Q3)-first quartile (Q1)
Third quartile (Q3) = Lp = (p/100) (n + 1)
= (75/100) (9+1)
= 7.5
7th value plus .5 times the difference between the 8
Chapter 1, p- 11
a. The responses for this question provide categorical data because here we are considering
people responses like how many positive responses, how many negative responses and how
many do not have any opinion. We are not dealing with any n
Chapter-6
3. a. The graph of the probability density function for flight time
b. The probability that the flight will be no more than 5 minutes late is
P(X130) = 130-120/140-120 = 10/20 =0.5
c. The probability that the flight will be more than 10 minutes
Chapter-5
13. f(x) = x/6 for x=1,2,3
a. The required condition for a discrete probability functions is:
f(x) 0
f(x) = 1
f(x) 0, x/6 for x=1,2,3 is bigger than 0
f(x) = 1 then 1/6+2/6+3/6 = 1
Because, these two conditions satisfy, this probability function
17. a. The probability that a domestic airfare is $550 or more
standard deviation () = 110$
= 385, = 110, (z = x-/)
P(x550) = P(Z 550-385/110)
= P(Z 1.5)
= 1- P (Z 1.5)
= 1- 0.93319
= 0.6681
b. The probability that a domestic airfare is $250 or less is
P
31. a.The probability that at least 70 use their phone at least once per hour is
P(x 70)
Z= (x-)/
= np
= np(1-p)
P(x 70) = p(x-np/np (1-p) > 70 (150*0.51)/150*0.51*0.49)
= p( z -1.1433)
= 1-p (z -1.1433)
= 1- 0.1265
= 0.8735
b. The probability that at l
Chapter-4
19.
a) The probability that a respondent 1829 years of age thinks that global warming will not pose a
serious threat during his/her lifetime is:
P = number of respondents of age 18-29 who said NO / total number of 18-29 age respondents
= 131/ 26
Chapter-3, p-55
a)
70
60
50
40
y
30
20
10
0
2
4
6
8
10
12
14
16
18
b) The scatter diagram developed in the part (a) indicates that there is a negative relationship between the
two variables.
c) Sample Covariance
x-bar = 4+6+11+3+16/5
= 8
y-bar = 50+50+40+
25) P(A) = 0.39
P(B) = 0.27
P(AB) = 0.12
a) The probability that a randomly selected person will feel guilty for either wasting food or leaving
lights on when not in a room is
P(AUB) = P(A)+P(B)-P(AB)
= 0.39+0.27-0.12
= 0.54
b)
The probability that a rand
PUTRA INTERNATIONAL
COLLEGE
BUSINESS STATISTICS
QM 1100
SPRING 2013
Instructor:
Mr. C.F.TAN
Course prerequisite:
STA 2281
Office hours:
Monday Friday (8.30 am 5.30 pm)
Email :
[email protected]
Consultation hours:
8.30 am 10.30 am (Monday and Wednesday)
CHAPTER 5 :
VARIABILITY
PREPARED BY : C.F.TAN (MSC)
Measures of Dispersion
Measures of dispersion are types of measurement which
provide information about the distribution and the differences
between observations in the set of data. The various type of
di
CHAPTER 9:
INDEX NUMBERS
PREPARED BY : C.F.TAN (MSC)
Index Number
Example 1:
Example 2:
Example 3:
Compute the unknowns x and y :
Example 4:
Example 5:
Example 6:
Example 7:
Example 7:
Example 8:
Example 9:
Exercises:
1)
2)
(a) The price of 1kg of squid i
Chapter 2 Problem #4
a. According to research, we can find that data that can be grouped by specific
categories are referred to as categorical data. For this question, data that can be
grouped by words, so these data are categorical.
b. According to known
Chapter 3 Problem #7
a. For this question, we already know that the average commute time in minutes for
48 cities, so we can use these data and formula to calculate the mean commute time
for these 48 cities.
(23.3+28.3+24.6+32.1+31.7+25.8+38.1+24.9+26.8+2
Chapter 4 Problem #17
a. Refer to the KP&L sample points and sample point probabilities in Tables 4.2 and
4.3, we can see that three sample points in the event the design stage is over budget
and the sample points include (4, 6), (4, 7), (4, 8).
b. Refer
Chapter 5 Problem #15
a. For this question, we can use formula and known condition to compute E(x), the
expected value of x. The calculations as follow:
E(x)=3 0.25+60.50+90.25=6
b. From part (a), we can know that E(x)=6=, therefore, we can develop a tabl
Chapter 5 Problem #41
a. According to known condition, we can find that n=20 and P=20%=0.2, so we can
compute the probability that 2 or fewer will withdraw and it is as follows:
P(x2)=P(x=0)+P(x=1)+P(x=2)
=[20!/0!20!(0.2)^0 (0.8)^20]+ [20!/1!19!(0.2)^1 (0
Chapter 7 problem #25
a. According to known condition, we can know that sample mean=E( )=502, n=90,
and =100.
Therefore, we can work out the standard deviation as follow:
100/(90^0.5)=10.541
And we already know that sample mean test score within 10 points