DEVRY MATH399 Week 1 Assignment Sampling and Parameters Latest 2019 JULY Question # 00603562 Subject: Mathematics Due on: 08/10/2019 Posted On: 08/10/2019 05:15 AM Tutorials: 1 Rating: 4.8/5

MATH399 Applied Managerial Statistics

Week 1 Assignment Sampling and Parameters

QuestionRaymond
wants to estimate the percentage of parents that use cloth diapers. He asks a
randomly selected group of 200 parents whether or not they use cloth diapers.
What is the data?

the
percentage of all parents that use cloth diapers

the 200 people surveyed

all parents that use cloth diapers

the percentage of surveyed parents that use
cloth diapers

specific “yes” or “no”
responses to the survey

QuestionPatrick
wants to estimate the percentage of parents that use cloth diapers. He asks a
randomly selected group of 125 parents whether or not they use cloth diapers.
What is the statistic?

the 125
people surveyed

the percentage of all parents that use cloth
diapers

the percentage of surveyed parents that use
cloth diapers

all parents that use cloth diapers

specific “yes” or “no”
responses to the survey

QuestionNick
wants to estimate the percentage of homeowners that own at least one dog. He
surveys 150randomly selected individuals to determine whether or not they own
dogs. What is the sample?

the
percentage of surveyed homeowners that own at least one dog

all homeowners

the percentage of all homeowners that own at
least one dog

specific responses to the survey

the 150 homeowners surveyed

QuestionWhat
is all individuals, objects, or measurements whose properties are being
studied?

population

variable

statistic

data

QuestionWhen
considering different sampling methods, cluster sampling includes the steps:
_______.

use simple
random sampling to select a set of groups; every individual in the chosen
groups is included in the sample

list the members of the population; use simple
random sampling to select a starting point in the population; let k = (number
of individuals in the population)/(number of individuals needed in the sample);
choose every kth individual in the list starting with the one that was randomly
selected

divide the population into groups; use simple
random sampling to identify a proportionate number of individuals from each
group

identify individuals of the population that
are easily accessible; obtain data from these individuals

QuestionTrue
or False?In reference to different sampling methods, cluster sampling includes
the steps: use simple random sampling to select a set of groups; every
individual in the chosen groups is included in the sample.

True

False

QuestionIs
the statement below true or false?A variable is a characteristic of interest
for each person or object in a population.

True

False

QuestionMatthew
wants to estimate the mean height of students attending his college. He records
the heights of 100 randomly selected students attending the college. What is
the population?

the mean
height of the randomly selected students

the mean height of all students attending the
college

the 100 randomly selected students

all the students attending the college

the heights of the randomly selected students

QuestionThere
are 6000 people who attended a political debate at a convention center. There
are three candidates who are participating in the debate – Mr. Smith, Mr.
Jones, or Ms. Roberts. You want to find out which candidate is most popular
amongst the people attending. You ask 500 people as they walk into the
convention center.

Which
represents the population in this scenario?

The three
candidates – Mr. Smith, Mr. Jones, and Ms. Roberts

The 500 people surveyed

The 6000 people attending the debate

Everyone who has been the convention center
that month

QuestionYou
want to find the average test score of the students in every math class in 11th
grade. There are 15math classes in 11th grade. You survey the scores of 7 math
classes, and you calculate that the average test score is 83%.

Which of
the following represent the sample and the parameter in this scenario?

Sample: 7
math classes

Parameter:
There is no parameter in this scenario.

Sample: 7 math classes

Parameter:
the average test score of 83%

Sample: 15 math classes

Parameter:
There is no parameter in this scenario.

Sample: 15 math classes

Parameter:
the average test score of 83%

Statistics
and Data

The science
of statistics deals with the collection, analysis, interpretation, and
presentation of data. We see and use data in our everyday lives.

In
statistics, we generally want to study a population. A population is a total
collection of persons, things, or objects under study. Gathering information
about an entire population often costs too much or is virtually impossible.
Instead, we collect a sample of the population or a smaller portion of the
larger population. This is usually easier to do, and gives us a good idea of
what’s going on in the population. A sample should have the same characteristics
as the population it is representing.

Data are
information about populations or samples. Generally, there are unknown
characteristics, or variables, about a population that we wish to know. To
obtain this information, we collect data by sampling some members of a
population. Once collected, the data are used as the actual values of the
variables. Data may be numbers (quantitative data) or they may be words
(qualitative data).

Example 1

You want to
determine the overall grade point average (GPA) at your school. There are 1800
students at your school. Since you want to collect data about all of the
students, all 1800 students is the population. The variable is overall GPA at
your school.

But, it
would be difficult to ask every single one of the 1800 students in your school
about his/her GPA. So, it would make sense to gain information from a smaller
group of students who attend your school. So, you survey 200 random students.
This portion of the population is called the sample.

The grade
point averages of the students surveyed is the data collected.

A statistic
and a parameter are both descriptions of groups, but they represent different
groups.

A parameter
is a number that is a property of the population. Sometimes, when the
population is small enough, there is no need to take a sample, and so
determining a parameter is easier and a more accurate reflection of the
population. A statistic is a number that represents a property of the sample.
The statistic is an estimate of a population parameter.

Example 2

There are
100 Senators in the U.S. Senate. 20 Senators voted against a bill last month.
This number is an example of a parameter, because it is a number that
represents the whole population.

There are
12,000 people at a football stadium. You want to determine the average number
of miles people drove to the stadium. Instead of surveying the whole
populationof 12,000 people, you randomly choose 1000 people as your sample. The
average number of miles driven to the stadium by the sample is an example of a
statistic.

Key Terms

• Population: entire group of
people/things under research

• Sample: a subset, or smaller
portion of the population

• Variable: element, feature, or
factor that is liable to vary or change

• Data: values of variables

• Parameter: a number that is a
property of the population

• Statistic: a number that represents
a property of the sample

QuestionAnnie
wants to estimate the percentage of homeowners that own at least one dog. She
surveys 75randomly selected individuals to determine whether or not they own
dogs. What is the population?

the 75
homeowners surveyed

specific responses to the survey

the percentage of surveyed homeowners that own
at least one dog

the percentage of all homeowners that own at
least one dog

all homeowners

QuestionIn
reference to different sampling methods, is the following statement true or
false?

Cluster
sampling includes the steps: divide the population into groups; use simple
random sampling to identify a proportionate number of individuals from each
group.

True

False

QuestionIn
reference to different sampling methods, is the following statement true or
false?

Systematic
sampling includes the steps: identify individuals of the population that are
easily accessible; obtain data from these individuals.

True

False

QuestionRaymond
wants to estimate the percentage of parents that use cloth diapers. He asks a
randomly selected group of 200 parents whether or not they use cloth diapers.
What is the parameter?

the
percentage of surveyed parents that use cloth diapers

the 200 people surveyed

specific “yes” or “no”
responses to the survey

the number of parents

the percentage of all parents that use cloth
diapers

QuestionIs
the statement below true or false?

Data is a
subset of the population studied.

True

False