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Statistics- homework one

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Statistics- homework one

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Statistics- homework one


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


What is the population? - ANSWER-all homeowners


The population is the entire group of individuals being studied. In this case, the
population is all homeowners.


Annie wants to estimate the average number of AP classes a student at her high
school takes. She decides to randomly select 6 classes and use all the students in
those 6 classes to estimate the average.


What type of sampling did Annie use? - ANSWER-Cluster sampling


Because Annie chose several classes at random and then took all the students from
those classes, she used cluster sampling.
Note that cluster sampling could be misrepresentative in this case because she might
select one or more AP classes in her sample.


systematic sampling - ANSWER-An example of systematic sampling would be going
to the student directory, starting at a random student, and then polling every 10th
student in the directory. This is not systematic sampling because the classes she
chose were picked at random, not based on a list of students.


Raymond 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? - ANSWER-specific "yes" or "no" responses to the survey

, Data is a set of observations. In this case, the data is specific "yes" or "no" responses
to the survey.


Anna wants to estimate the mean number of siblings for each student in her school.
She records the number of siblings for each of 75 randomly selected students in the
school. What is the statistic? - ANSWER-the mean number of siblings for the
randomly selected students


A statistic is a numerical characteristic of the sample. In this case, the statistic is the
mean number of siblings for the randomly selected students.


Angela is studying the mean blood pressure of all students attending her college. She
collects data from the 38 students in her statistics class.


Which type of sampling is used? - ANSWER-Convenience sampling


This scenario demonstrates convenience sampling. Convenience sampling involves
selecting individuals from the population that are easily accessible, or from which
data is easily obtained.


Angela wants to estimate the mean number of siblings for each student in her school.
She records the number of siblings for each of 200 randomly selected students in the
school. What is the data? - ANSWER-the specific number of siblings for each
randomly selected student


Data is a set of observations. In this case, the data is the specific number of siblings
for each randomly selected student.


When considering different sampling methods, STRATIFIED sampling includes the
steps: _______. - ANSWER-divide the population into groups; use simple random
sampling to identify a proportionate number of individuals from each group

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