Unit 1: Statistics Make Up Test

Last updated 12 months ago

23 questions

Note from the author:

Instructions

1

Library

Unit 1: Statistics Make Up Test

Last updated 12 months ago

23 questions

Note from the author:

Instructions

1

A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x​ -value from the distribution is at least 25.
The probability is _______ .

1

A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected  x​ -value from the distribution is at least 29.
The probability is _______ .

MODELING REAL LIFE The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.

1

Explain whether the research topic is best investigated through an experiment or an observational study.
A researcher wants to compare the body mass index of smokers and nonsmokers.

1

MODELING REAL LIFE A national polling company claims that 17% of U.S. public school teachers have a second job. You survey a random sample of 100 U.S. public school teachers.

1

Determine whether the data are collected from a population or a sample. Explain your reasoning.
the number of high school students in the United States

1

Draggable item		Corresponding Item

A randomized comparative experiment tests whether a software update affects the user satisfaction scores of teen cell phone users. Greater scores indicate greater satisfaction. The control group has eight teenagers and the treatment group, which receives the software update, has eight teenagers. The table shows the results.

1

Determine whether the study is a randomized comparative experiment.

1

(ADDED BY PATEL) The mayor of Springfield is interested in finding out the average age of people in the city. He obtains a list of all the landline telephones in the city and then contacts a simple random sample of 300 people. He uses the data from the sample to estimate the average age of all the people in the city.  

1

Identify the type of sample described.
You want to find out whether booth holders at a convention are pleased with their booth locations. You divide the convention center into six sections and survey every booth holder in the fifth section.
The type of sample described is a

Identify the method of data collection the situation describes.
A researcher places bacteria samples in two different climates. The researcher then measures the bacteria growth in each sample after 3 days.

Observational study

Survey

Simulation

Experiment

A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected x​ -value from the distribution is at least 25.
The probability is _______ .

A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a randomly selected  x​ -value from the distribution is at least 29.
The probability is _______ .

MODELING REAL LIFE The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.

1

About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.
About _______ %.

1

About what percent of Internet users spend more than 238 minutes on social networking platforms each day? Round your answer to the nearest hundredth of a percent.
About _______ %.

Explain whether the research topic is best investigated through an experiment or an observational study.
A researcher wants to compare the body mass index of smokers and nonsmokers.

MODELING REAL LIFE A national polling company claims that 17% of U.S. public school teachers have a second job. You survey a random sample of 100 U.S. public school teachers.

1

Determine whether the data are collected from a population or a sample. Explain your reasoning.
the number of high school students in the United States

1

Determine whether the data are collected from a population or a sample:
The color of every third car in a parking lot.
The data are collected from a

sample.

population.

In the United States, a survey of 1152 adults ages 18 and over found that 403 of them occasionally pretend to use their smartphones to avoid talking to someone. Identify the population and sample.

Draggable item		Corresponding Item
Extra Answer2		Every adult age 18 and over in the United States
Extra Answer1		The 1152 adults age 18 and over who were surveyed.
Population		403 of them occasionally pretend to use their smartphones.
Sample		A survey of people who avoid talking to someone.

Determine whether the study is a randomized comparative experiment.

1

Draggable item		Corresponding Item

(ADDED BY PATEL) The mayor of Springfield is interested in finding out the average age of people in the city. He obtains a list of all the landline telephones in the city and then contacts a simple random sample of 300 people. He uses the data from the sample to estimate the average age of all the people in the city.  

1

What is wrong with this survey?

1

Do you think the Mayor will overestimate or underestimate the true mean age of people in Springfield? Why?

Identify the type of sample described.
You want to find out whether booth holders at a convention are pleased with their booth locations. You divide the convention center into six sections and survey every booth holder in the fifth section.
The type of sample described is a

random sample.

cluster sample.

stratified sample.

systematic sample.

self-selected.

convenience sample.

Identify the method of data collection the situation describes.
A researcher places bacteria samples in two different climates. The researcher then measures the bacteria growth in each sample after 3 days.

Observational study

Survey

Simulation

Experiment

About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.
About _______ %.

About what percent of Internet users spend more than 238 minutes on social networking platforms each day? Round your answer to the nearest hundredth of a percent.
About _______ %.

This topic is best investigated through an

observational study.

experiment.

Describe the design of the experiment or observational study.

Carefully select a group of individuals who have never smoked. Assign the individuals with the lowest body mass indexes to smoke and see if their body mass indexes increase during the course of the study.

Randomly choose one group of people with high body mass indexes and one with low body mass indexes. Then find the percentage of each group who do and do not smoke.

Carefully select a group of individuals who have never smoked. Randomly assign one part of the group to smoke and one part to be the control group. Then find if the smoking group has a higher body mass index after smoking.

Randomly choose one group of individuals who smoke. Then, randomly choose one group of individuals who do not smoke. Find the body mass index of the individuals in each group.

What can you conclude about the accuracy of the claim that the population proportion is 0.17 when 32 teachers in your survey have a second job?
The claim is probably

not accurate.

accurate.

What can you conclude about the accuracy of the claim that the population proportion is 0.17 when 14 teachers in your survey have a second job?
The claim is probably

not accurate.

accurate.

The data are collected from a

sample

population

because the data is about

an entire group.

a subset of a group.

Determine whether the data are collected from a population or a sample:
The color of every third car in a parking lot.
The data are collected from a

sample.

population.

In the United States, a survey of 1152 adults ages 18 and over found that 403 of them occasionally pretend to use their smartphones to avoid talking to someone. Identify the population and sample.

Extra Answer2

Every adult age 18 and over in the United States

Extra Answer1

The 1152 adults age 18 and over who were surveyed.

Population

403 of them occasionally pretend to use their smartphones.

Sample

A survey of people who avoid talking to someone.

Find the mean of the treatment group.

_______ 

Find the mean of the control group.

_______ 

Select the double dot plot that matches the given data.

You can conclude that the hypothesis is

most likely true.

most likely false.

impossible to test.

So, the treatment does improve satisfaction.

true

false

maybe

The study is a randomized comparative experiment.

True

False

If the study was a randomized comparative experiment, describe the treatment, the treatment group, and the control group.

Draggable item		Corresponding Item
Extra Answer1		the milk
control group		the 75 students who chose milk
Extra Answer2		the 75 students who chose other beverages
treatment group		the other beverages
treatment		the middle school students

What is wrong with this survey?

Do you think the Mayor will overestimate or underestimate the true mean age of people in Springfield? Why?

This topic is best investigated through an

observational study.

experiment.

Describe the design of the experiment or observational study.

Carefully select a group of individuals who have never smoked. Assign the individuals with the lowest body mass indexes to smoke and see if their body mass indexes increase during the course of the study.

Randomly choose one group of people with high body mass indexes and one with low body mass indexes. Then find the percentage of each group who do and do not smoke.

Carefully select a group of individuals who have never smoked. Randomly assign one part of the group to smoke and one part to be the control group. Then find if the smoking group has a higher body mass index after smoking.

Randomly choose one group of individuals who smoke. Then, randomly choose one group of individuals who do not smoke. Find the body mass index of the individuals in each group.

What can you conclude about the accuracy of the claim that the population proportion is 0.17​  when 32​ teachers in your survey have a second job?
The claim is probably

not accurate.

accurate.

What can you conclude about the accuracy of the claim that the population proportion is 0.17​ when 14​ teachers in your survey have a second job?
The claim is probably

not accurate.

accurate.

The data are collected from a

sample

population

because the data is about

an entire group.

a subset of a group.

Select the double dot plot that matches the given data. 

You can conclude that the hypothesis is

most likely true.

most likely false.

impossible to test.

So, the treatment does improve satisfaction.

true

false

maybe

The study is a randomized comparative experiment.

True

False

If the study was a randomized comparative experiment, describe the treatment, the treatment group, and the control group.

Extra Answer1

the milk

control group

the 75 students who chose milk

Extra Answer2

the 75 students who chose other beverages

treatment group

the other beverages

treatment

the middle school students

Unit 1: Statistics Make Up Test

Unit 1: Statistics Make Up Test

Identify the type of sample described.You want to find out whether booth holders at a convention are pleased with their booth locations. You divide the convention center into six sections and survey every booth holder in the fifth section.The type of sample described is a

Identify the method of data collection the situation describes.A researcher places bacteria samples in two different climates. The researcher then measures the bacteria growth in each sample after 3 days.

Determine whether the data are collected from a population or a sample:The color of every third car in a parking lot.The data are collected from a

In the United States, a survey of 1152 adults ages 18 and over found that 403 of them occasionally pretend to use their smartphones to avoid talking to someone. Identify the population and sample.

What is wrong with this survey?

Do you think the Mayor will overestimate or underestimate the true mean age of people in Springfield? Why?

This topic is best investigated through an

Describe the design of the experiment or observational study.

What can you conclude about the accuracy of the claim that the population proportion is 0.17​ when 32​ teachers in your survey have a second job?The claim is probably

What can you conclude about the accuracy of the claim that the population proportion is 0.17​ when 14​ teachers in your survey have a second job?The claim is probably

The data are collected from a

because the data is about

Select the double dot plot that matches the given data.

You can conclude that the hypothesis is

So, the treatment does improve satisfaction.

The study is a randomized comparative experiment.

If the study was a randomized comparative experiment, describe the treatment, the treatment group, and the control group.

What is wrong with this survey?

Do you think the Mayor will overestimate or underestimate the true mean age of people in Springfield? Why?

Identify the type of sample described.
You want to find out whether booth holders at a convention are pleased with their booth locations. You divide the convention center into six sections and survey every booth holder in the fifth section.
The type of sample described is a

Identify the method of data collection the situation describes.
A researcher places bacteria samples in two different climates. The researcher then measures the bacteria growth in each sample after 3 days.

Determine whether the data are collected from a population or a sample:
The color of every third car in a parking lot.
The data are collected from a

What can you conclude about the accuracy of the claim that the population proportion is 0.17 when 32 teachers in your survey have a second job?
The claim is probably

What can you conclude about the accuracy of the claim that the population proportion is 0.17 when 14 teachers in your survey have a second job?
The claim is probably