Statistics Questions

American Households, 1564
Identify the population and the sample.

When 1564 American households were surveyed, it was found that 57% of them owned two cars.

1564 ; people who owned tow cars
1564 ; 57%
American Households ; 1564
American Households ; 57%

Statistics
Determine whether the numerical value is a parameter or a statistic. Explain your reasoning.

A survey of 1103 students was taken from a university with 18,500 students.
Statistic – it uses numbers
Parameter – describes a population
Parameter – it used a large enough sample size
Statistic – describes a sample

inferential
The chances of winning the California Lottery are one chance in twenty-two million. Does this statement describe:
descriptive statistics
inferential statistics

sample
If you had to do a statistical study, would you use a sample or a population? Why?
Sample – easier to collect a sample than to do a census
Population – more accurate results from a population

ratio
Identify the data set’s level of measurement.

number of milligrams of tar in 28 cigarettes
interval
nominal
ratio
ordinal

interval
Identify the data set’s level of measurement.

the years the summer Olympics were held in the United States
nominal
interval
ratio
ordinal

observational study
Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, simulation, or survey

A study where a political pollster wishes to determine if his candidate is leading in the polls
observational study
survey
simulation
experiment

stratified
Identify the sampling technique used.

A researcher randomly selects and interviews fifty male and fifty female teachers.
convenience
random
cluster
stratified
systematic

convenience
Identify the sampling technique used.

In a recent television survey, participants were asked to answer “yes” or “no” to the question “Are you in favor of the death penalty?” Six thousand five hundred responded “yes” while 3700 responded “no”. There was a fifty-cent charge for the call.
random
convenience
stratified
systematic
cluster

4
Provide an appropriate response.

Explain what bias there is in a study done entirely online.
1) Only people who care about the topic will respond
2) If the wireless is dropped that will not be able to finish the study
3) Only crazy people go online
4) It limits the sample to only people that are online

1
Provide an appropriate response.

Explain the differences between cluster sampling and stratified sampling.
1) Cluster is taking everyone from a couple of randomly selected groups, and stratified if taking a couple from every group.
2) Stratified is taking everyone from a couple of randomly selected groups and cluster is taking a couple from every group

2
What is the difference between an observational study and an experiment?
1) An experiment has a control group
2) An experiment imposes a treatment
3) An observational study is done with individuals and an experiment is done with groups
4) An observational study changes the environment

double blind
What type of experimental design has neither the person doing the experiment nor the individuals involved in the experiment know who is the control and how is the treatment group?
Block – Design
Stratified – Random
Double – Blind
Matched – Pair

matched pair
What type of experimental design has both the control and the treatment as the same set of individuals?
Block – Design
Double – Blind
Stratified – Random
Matched – Pair

block design
An experiment that splits the individuals into groups bases on a single factor then running parallel experiments on the two or more groups is known as…
Block – Design
Double – Blind
Matched – Pair
Stratified Random

4
Why is it important to have a control group when performing an experiment?
1) To get more people involved
2) To have something to compare the statistics to
3) To make sure individuals respond correctly
4) To control the placebo effect

simulation
A study where you would like to determine the chance getting three girls in a family of three children
observational study
simulation
experiment
survey

experiment
A study where a drug was given to 57 patients and a placebo to another group of 57 patients to determine if the drug has an effect on a patient’s illness
observational study
simulation
survey
experiment

stratified
Thirty-five sophomores, 35 juniors and 49 seniors are randomly selected from 230 sophomores, 280 juniors and 577 seniors at a certain high school.
systematic
random
convenience
stratified
cluster

systematic
Every fifth person boarding a plane is searched thoroughly.
random
convenience
cluster
systematic
stratified

cluster
A researcher for an airline interviews all of the passengers on five randomly selected flights.
systematic
cluster
convenience
stratified
random

nominal
Identify the data set’s level of measurement.

numbers on the shirts of a girl’s soccer team
ordinal
interval
ratio
nominal

interval
Identify the data set’s level of measurement.

temperatures of 22 selected refrigerators
nominal
ordinal
ratio
interval

ordinal
Identify the data set’s level of measurement.

the ratings of a movie ranging from “poor” to “good” to “excellent”
interval
ordinal
ratio
nominal

American Households
A survey of 1353 American households found that 18% of the households own a computer. Identify the population.
Computers
18%
American Households
1353

statistic
Determine whether the numerical value is a parameter of a statistic.

A Recent survey by the alumni of a major university indicated that the average salary of 10,000 of its 300,000 graduates was $125,000.
Parameter
Statistic

descriptive
Identify whether the statement describes inferential statistics or descriptive statistics.

The average age of the students in a college psychology call is 22 years old.
Inferential
Descriptive

4
What is the difference between a sample and a population?
1) A sample has to be less that 50
2) A sample involves object while a population involves the study of individuals
3) Statistics can only be made from samples
4) A sample is a subset of the population

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