Statistics  Quiz 3
(8 Questions)
Question 4.
4.
In the past, 44% of those taking a public accounting
qualifying exam have passed the exam on their first try.
Lately, the availability of exam preparat
Setup
Suppose we take a random sample of size n
from a population with mean and standard
deviation .
The sample mean will serve the purpose of
point estimator of population mean .
Goal: To constru
Goal
Students will be able to:
Construct a confidence interval for a proportion.
Interpret a confidence interval for a proportion.
Check conditions for the use of inference about a
population propo
Remember
Population is the complete set of all items that we
are interested in studying.
Parameters are the values we calculate from the
population data.
Population mean (for quantitative variables)
Two Types of Random Variables
Discrete Random Variable:
These random variables only take discrete values.
(e.g. number of heads out of two tosses of a fair coin
this random variable can only take va
Examples
Suppose we toss a coin and observe the resulting face at the top.
Experiment: tossing the coin.
Sample points: Head (H) and Tail (T).
Sample space: S = cfw_H, T.
Events: cfw_H, cfw_T, cfw
STT 421
Census and Sample survey
Ashoke Kumar Sinha
This note is based on Chapter 3
3
Few terminologies
Types of study
Population is the complete set of all items that we
are interested in studying.
GoBack
Histogram 1a: class width 2
Histogram 1a: class width
2
Histogram 1b: class width
1
Histogram 1c: class width
0.5
Histogram 1d: class width
0.1
The density function
0.14
0.12
Histogram 2a
STT 421
Zscores and normal distribution
Ashoke Kumar Sinha
This note is based on Chapter 1.3 of the textbook.
How to compare apples with oranges?
How to standardize?
A college admissions committee i
Example: Exam data
STT 421: some examples
Note: 0 = Male, 1 =Female
2
Chart of Major
Chart of Gender
Count
15
10
5
Bar chart and
pie chart for
Majors
5
4
Count
Bar chart and
pie chart for
Gender
20
6
What is Statistics?
Statistics  a word with 2 meanings
A subject, like mathematics or physics. Statistics is
the science of learning from data.
Plural form of statistic, a value we compute from
(s
I PmcHuz £7an 4 K~[
_ W.
l. Fifty applicants interested in working for the Food Stamp pro
designed to measure their aptitude for social work. Below is
for the scores data
gram took an exnulinnlion
l. Fifty applicants interested in working for the Food Stamp program took examination
designed to measure their a I
ptitude for social work. Below is the relati've'freQuency histogram
for the scores
Statistics  Quiz 3
(8 Questions)
Question 6.
6. Explain the meaning of a type I error and a type II error.
Type I Error Occurs when the results of research show that a difference exists but in truth
Statistics  Quiz 3
(8 Questions)
Question 5.
5. We are testing
H o : p1 p2
H A : p1 p2
at 1% level of significance for the presence of an attribute in two populations 1 and 2.
The results from indepe
Statistics  Quiz 3
(8 Questions)
Question 8.
8.
The following table shows the # of ice cream bars sold by
a vendor as explained by the outside high temperature
High Temperature for the day in degress
Statistics  Quiz 3
(8 Questions)
Question 3.
3. The electricity supply in a certain region appears to show a lot
of voltage fluctuation from the required value of 240 V.
To check if the mean voltage
Statistics  Quiz 3
(8 Questions)
Question 2.
An expensive medication from a particular company states 100 ml
for the contents on the bottles for this medication. An agency
would like to test if the b
Statistics  Quiz 3
(8 Questions)
Question 1.
The mean weight of the adults in a certain region is believed to be
. An
agency thinks that this mean may be higher than the above belief. They are going
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