MATH 2233 Study Guide - Fall 2018, Comprehensive Midterm Notes - Quartile, Lincoln Near-Earth Asteroid Research, Histogram
11 Oct 2018
School
Department
Course
Professor
MATH 2233
MIDTERM EXAM
STUDY GUIDE
Fall 2018
6th September 2018
WHAT IS STATISTICS?
.subject that deals with the collection ,description and interpretation
%datI
can come from controlled
→simple Random sampling :Method of data collection .experiments on occur
→Descriptive Statistics :techniques used to describe data .naturally.
→Inferential Statistics generalizing the descriptive statistics to the entire sample
POPULATION SAMPLE
all measurements on asubset of the population .
objects of interest in awe use asample because :
particular study .
-too time-consuming to test entire pop .
-too expensive to test entire pop .
-sometimes impossible to test entire pop
.
Simple Random Sample asample chosen .so that each person has an equal
chance to be chosen .
¥
:*
:In
we use this method because
-avoids bias
-ensures sample is representative
Inferential Statistics :uses the sample to draw conclusions about the pop .
Population Parameters show .
→Population proportion
→population mean
find more resources at oneclass.com
find more resources at oneclass.com
Example 1 (POPULATION and SAMPLE): A tobacco farmer wishes to estimate the mean (average)
number of leaves on a variety of tobacco plant in his field. He obtains a srs of four plants and records
the number of leaves on each: 15, 18, 20, 15!
What is the population?!
!
Define the population mean. Is it known?!
!
What is the sample?!
!
Estimate the mean number of leaves on this type of tobacco plant. Would you expect your!
estimate to be accurate? Explain.
Example 2 (POPULATION and SAMPLE): A company wants to estimate the germination rate
(proportion of planted seeds that germinate) for a new hybrid variety of corn. A random sample of 800
seeds was planted and, of these, 600 germinated.!
What is the population?!
!
Define the population proportion (i.e. the germination rate for the population of seeds). Is it known?!
!
!
What is the sample?!
!
Estimate the germination rate for this new hybrid of corn. Would you expect your estimate to be
accurate? Explain.
-
The number of leaves on each tobacco plant in the farmer 's field .
Pop mean It )is unknown .We need to know the number
of leaves of each plant on the field to calculate the mean
The sample is 15,18 ,20,15 .
I =lGtl84t2Ot =17 leaves Iplant .
Idon't think it is accurate as the sample size is too small .
All of the hybrid seeds created by the company .
Unknown !The proportion of population that germinates
800 seeds planted .
I=
60¥
=075 The sample site is large,so it should be accurate .
find more resources at oneclass.com
find more resources at oneclass.com
Document Summary
What is statistics? subject that deals with the collection , description and. Statistics : data collection . to describe data . Inferential interpretation can come from controlled experiments on occur naturally . the to. Simple random sample a sample chosen . so that each person has an equal chance to be chosen . In we use this method because avoids bias ensures sample is representative. Statistics : uses the sample to draw conclusions about the pop . Example 1 (population and sample): a tobacco farmer wishes to estimate the mean (average) number of leaves on a variety of tobacco plant in his eld. He obtains a srs of four plants and records the number of leaves on each: 15, 18, 20, 15. What is the population? tobacco plant on each number leaves farmer. We need to know the number of leaves of each plant on the field to calculate the mean.
