n: the number of trials. Here it is ten
for example.
P: the probability of success. Here it is
0.5 for example.
Please just type 0, so we can get more
probabilities results.
Type a number which is less than or
equal n (the number of trials). n is the
best
Using PhStat to calculate sample mean, sample variance, sample standard deviation and so on.
Here are our data values. We only
have one single group and the first
cell is our data.
After clicking descriptive summary, we will see this dialogue box:
Click t
I: Definition of hypergeometric distribution
Suppose that a company currently employs 22 people, of which 8 are more than 55 years in age. (We
will refer to the people over 55 as the older employees.) The company decided to reduce its force by 7
employees
I: Mathematical definition of exponential distribution:
If X has the following Probability Density Function (pdf), then X follows exponential distribution with rate
parameter .
f ( x) e x ,
Where
e 2.71828
The mean number of occurrences over the interval
I: Question 1.
1. One-Way ANOVA: Examining the Effect a single Factor Has on the Means of Populations
The null hypothesis for every NOVA procedure states that all the population means are equal.
The alternative hypothesis claims that not all population me
I: Mathematical definition of normal distribution
If X has the following Probability Density Function (pdf), then X follows normal distribution with mean u
and standard deviation .
1
f ( x)
e
2
( x u )2
2 2
.
Where
e 2.71828
3.14159
x = any continuous
Hypothesis testing for a single population (PHStat):
First, two useful skills to state the hypothesis:
1: if the purpose of the hypothesis test is to establish that a population parameter is equal to or not
equal to a specific value, the null hypothesis i
STAT 241
Practice Final
Winter 2016
1. Suppose you are in a business meeting and you are provided a data set. You don't
have a lot of time to analyze the data. Where should you focus your attention?
A. On the source of the data and outliers
B. On the cent
Question 4-1:
Copy data to Excel.
a> To compute the mean of the population, average function in Excel can be used:
Click enter, we will have the mean of the population in Column A. u=11,989.6.
b> Sampling error=sample mean population mean= x -u
Question s
STAT 241-A01: Business Statistics
CRN: 65429, Course Syllabus
Spring 2016
Instructor:
Office:
E-mail:
Class time:
Classroom:
Office Hours:
Mark Blackmore
M305 Neuberger Hall (Mezzanine - 3rd, accessible by East stairs only)
[email protected]
Tuesday & Thur
How to install PH Stat for Mac users
Step 1: Install Microsoft Office 2011 for Mac. If you need instructions on how to do this
just Google it, it's fairly easy.
Step 2: After installing MS Office 2011, open up a blank excel document and leave it
open in o
STAT 241
Practice Midterm Exam
Winter 2016
1. A numerical characteristic of a population is a:
A.
B.
C.
D.
Attribute
Statistic
Parameter
None of the above
2. A numerical characteristic of a sample is a:
A.
B.
C.
D.
Attribute
Statistic
Parameter
None of th
In Excel 2010 or Excel 2013, you may need to change the Trust Center settings to allow PHStat to
properly function. To do so, click File->Options:
1. Click Trust Center in the left pane and then click Trust Center Settings in the right pane. (Excel
2013)
Hypothesis test by PhStat
Single population(CH 9)
One-Sample tests
Hypothesis test
summarized data
Two populations(CH 10)
two-sample tests
Unsummarized data
known, use Z test
mean
u
One sampletests
unknown, uset test
proportion : use Z test for the pr
I: Definition of Poisson process:
A Poisson process counts the number of occurrences of an event over a period of time, area, distance or
any other type of measurement. It has the following 4 characteristics:
1: The experiment consists of counting the num
Question 4-2:
This question is about CLT(central limit theorem).
Recall: the central limit theorem states that: For any population distribution with population mean u and
population standard deviation , if the sample size is sufficient large (n 30), then
Hypothesis tests comparing two populations (PHStat)
1. Hypothesis test comparing the difference between two mans (independent samples, 1
and 2 known)
When known, we use Z test (requirement: either our population follows a normal distribution or our
sample
SPRING 2016 CALENDAR
Week 1
MONDAY
March 28
Spring term begins
TUESDAY
29
WEDNESDAY
30
THURSDAY
31
FRIDAY
April 1
Last day to add classes
online without instructor
approval Sunday, April 3
Week 2
4
5
6
7
Week 3
11
12
13
14
8 Last day to add
classes for th
Using PhStat to calculate sample mean, sample variance, sample standard deviation and so on.
Here are the data values. We only
have one single group and the first
cell is the data value.
After clicking descriptive summary, we will see this dialogue box:
C
Using phstat to construct CI for the MEAN (Sigma Known)[Question 3,4,5 and 6]
Question 4-3:
Information we get from the question:
A sample of 34 customers paid an average fee of $12.57 per month on their interest bearing checking
accounts, which tells us
Extra Credit
STAT241: Spring 2016
Due: Thursday, May 19, 2016
Value: Worth up to 5% added to your overall weighted average grade.
Case Problem:
Quality Associates, Inc., a consulting firm, advises its clients about sampling and statistical procedures
that
Hypothesis tests comparing two populations (PHStat)
1. Hypothesis test comparing the difference between two means (independent samples, 1
and 2 known) (Q6)
When known, we use Z test (requirement: either our population follows a normal distribution or our
Using Phstat to calculate probabilities when it follows normal distribution
After clicking Normal, we will see Normal probability distribution dialogue box:
Suppose mean and standard
deviation of the population are 12
and 3.5 respectively.
If we check her
In general, if we know the population standard deviation, we use Z test. If do not know population
standard deviation, we use T test.
For question 1-5, they are about hypothesis test for single population. You can refer to the attachment
named Hypothesis
Binomial distribution Example:
An experiment which has the following 4 characters is called binomial experiment.
1: the experiment consists of n trials (n>=2).
2: each trial only has two possible outcomes (we can consider any of two possible outcomes a su
Review 2:
Question 3:
Stacked data and unstacked data:
Stacked and unstacked data are ways of arranging data in the worksheet.
Stacked data
If data are stacked, the sample values for all groups are in a single column, with a corresponding column
of labels
First, two useful skills to state the hypothesis:
1: if the purpose of the hypothesis test is to establish that a population parameter is equal to or not
equal to a specific value, the null hypothesis is always assigned to the equality statement, leaving
Using PhStat to calculate probabilities when it follows Hypergeometric distribution.
It is easy for us to be confused by Hypergemetric distribution. So I am going to use an example to
illustrate.( the example is from our textbook)
Suppose that a company c