Section 1
Preview this deck
Lamont designs a survey of town residents in an attempt to predict who will be elected mayor. He chooses his sample of 500 people from the town's 40,000 residents by asking his question to every person leaving the public library on a Saturday. Which suggestion would most improve Lamont's random sample?
Front
| 5 | 0 | ||
| 4 | 0 | ||
| 3 | 0 | ||
| 2 | 0 | ||
| 1 | 0 |
Active users
0
All-time users
0
Favorites
0
Last updated
6 years ago
Date created
Mar 1, 2020
Cards (72)
Section 1
(50 cards)
Lamont designs a survey of town residents in an attempt to predict who will be elected mayor. He chooses his sample of 500 people from the town's 40,000 residents by asking his question to every person leaving the public library on a Saturday. Which suggestion would most improve Lamont's random sample?
Lamont should sample only registered voters.
Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. Number of Hours Playing Sports 5 5 3 0 6 2 2 4 5 2 3 4 3 0 1 4 0 4 3 6 What is the mean of the sample in the third row?
2.2
Lorenzo's test scores are shown below. Lorenzo's Test Scores
The data is more widely spread for Lorenzo's scores than for Anika's.
The city of Hamden received money for improvements of the town's park. The park committee polled a random sample of 75 residents from the town. Of the 75 residents, 27 would like to see more trees planted in the park. From this information, what can be inferred?
About a third of the residents prefer a park improvement of more trees.
The heights of a group of boys and girls at a local middle school are shown on the dot plots below.
The girls are generally taller than the boys.
At Brighton Middle School, Mr. Yule asked 50 randomly selected students from each grade level about their favorite subject, and 12 chose science. He used this data to draw the inference that about 25% of middle school students will indicate science is their favorite subject. If there are 200 students altogether, did he make a reasonable inference?
Yes, Mr. Yule's sample is random and representative of the population
Lorrie wants to determine the average amount of time that students at her school spend on the computer each day. There are 350 students in 15 classes. The number of boys and girls is approximately equal. Which is the most random sample?
2 students from each of the 15 classes
Ardem collected data from a class survey. He then randomly selected samples of five responses to generate four samples. Survey Data Sample 1 4 5 2 4 3 Sample 2 2 2 6 5 7 Sample 3 4 6 3 4 1 Sample 4 5 2 4 3 6 Using his four samples, between what two numbers will Ardem's actual population mean lie?
3.6 and 4.4
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The counts are shown in the table below. Which proportion would predict the number of jazz songs he has stored on his MP3 player? Country 5 Country 3 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 5
A seventh grade teacher asks her students a survey question. Which questions are appropriate for the teacher to ask her population? Choose all that apply.
How many hours of sleep do you get per night? On average, how long does it take you to complete your homework? What time do you leave for school in the morning?
Kelvin and Lewie each design surveys in order to determine the number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall's main entrance. Which best explains which student's survey is likely to produce less valid results?
Kelvin's because he surveyed people leaving an area where food is sold
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained more girls than boys.
Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has about 5,000 members. She selected a sample of the first 25 parents dropping off actors during theater rehearsal. Which best explains Mikayla's sample?
nonrandom and biased
The manager of a popular restaurant wants to know what types of vegetarian dishes people prefer to eat. Which sample would provide the most accurate data?
a random group of 40 people on the street
Which is true of a population in a statistical survey? Check all that apply.
A population can be a group of objects or events.A population must be the target of the survey question.
Traverion wants to find the answer to the question "How much money does the average college professor make?" He surveys 50 professors from the university in his hometown. Which best describes whether or not the results of his survey would represent the responses from the entire population of college professors?
The results do not represent the population because the sample does not represent professors from different areas.
Chin researched the amount of money 150 students earned per month from jobs held during the summer. He created a table of six sample means from his collected data. Sample Number Sample Mean ($) 1 208 2 235 3 245 4 207 5 205 6 210 Using his results, what is a valid prediction about the mean of the population?
The predicted mean of the population will be less than 245.
Lucilla wondered what the average weight of each orange was in a five-pound bag of oranges. She purchased six bags and calculated the average weight for a single orange in each bag. Bag of Oranges Average Orange Weight (oz) 1 7.1 2 6.9 3 7.3 4 7.6 5 8.1 6 7.5 Using her results, an orange from a five-pound bag of oranges should weigh between
6.9 oz and 8.1 oz.
The dot plots below show rainfall totals in the Highlands and Lowlands areas of a certain region.
The Highlands data points are evenly distributed around the center, while the Lowlands data points are clustered toward the left of the plot.
Amalie wants to know if students in her class prefer hot dogs or hamburgers. Why should Amalie survey the entire population rather than a sample of the population?
The population is small enough to survey the entire group.
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player? Listening Samples from Mr. McElroy's MP3 Player Sample 1 Sample 2 Country 5 Country 3 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 5
550
When Henry surveyed 45 seventh-grade students at random in the school cafeteria, he found that 3 out of 15 liked reggae music. Using proportional reasoning, about how many of the 180 seventh-grade students in his school like reggae?
About 36 seventh-grade students like reggae music.
A sample was taken of dogs at a local dog park on two random days. The counts are displayed in the table below. If there are estimated to be 50 dogs at the park at any given time, which proportion could be used to find the average number of shepherd mixes at the park at any given time? Dog Park Sample Sample 1 Sample 2 Labrador Retriever 4 Labrador Retriever 5 Shepherd Mix 7 Shepherd Mix 9 Chihuahua 3 Chihuahua 5 Poodle 1 Poodle 2 Australian Cattle Dog 2 Australian Cattle Dog 4
n what situations is it helpful to use a sample of a population? Mark all that apply.
if the population is very largeif it would take a lot of time to survey the entire population if it would require a lot of money to survey the entire population
A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
The representative sample contained more adults than children
Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were taken? Sample Number Sample Mean 1 11.8 2 12.5 3 15.1 4 14.3 5 13.0 6 12.9
12.9
Principal Phillipi used a random sample of 20 student records to determine how far, in miles, students live from the school. The results are shown below. 3, 4, 5, 3, 4, 5, 6, 5, 4, 3, 2, 3, 4, 5, 6, 4, 8, 4, 3, 2
4.2 miles
Julia surveyed her friends to find the number of hours they spend on homework during the week. The data from her survey is displayed in the first table. She then took a random sample of five responses from the population as shown in the second table. Compare the mean of the population with the mean of the given sample. Population Data 4 5 3 1 3 2 2 3 5 7 3 6 3 0 1 5 0 4 3 6 Sample Data 5 4 6 2 1 What is the difference between the mean of the sample and the mean of the population?
0.3
A dance student wants to know the favorite type of dance class for students at The Dance Academy. She surveys each student in her ballet class. In which way could the results of her survey be most improved?
She could sample a proportional number of students in each type of dance class.
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Which compares the modes of the data?
The mode for the students is 2 and the mode for the teachers is 4.
Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20. The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12. Which statements are true? Check all that apply.
The second sample is random. The second sample is likely to be more representative of the population.The second sample will give a better representation because is it larger.
The table shows the mean number of basketball goals made by four random samples of players from the school team during this year's season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples?
Yes, the variation of the sample means is small.
The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.
2
Two samples were taken of fish caught on Small Lake and are shown in the table below. It is estimated that the Small Lake fish population is roughly 1,000 fish. What is the average number of brown trout in the lake? Small Lake Fish Sample Sample 1 Sample 2 Rainbow Trout 15 Rainbow Trout 11 Brown Trout 3 Brown Trout 1 Largemouth Bass 9 Largemouth Bass 11
80
While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses. 3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1 If there are 48 campers altogether, use Mike's data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?
2 siblings
Hamden city's police department needs to choose whether to build a new addition to the police station or to buy new squad cars. Which sampling option might they choose to survey the community?
a random sample of 10% of all taxpayers
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of hours ten boys watched television over the same period of time. Television Viewing Hours for a One-Week Period
Both the mean and median are greater for Plot A than for Plot B
Kari plans to sample 20 people of a population that contains 100 students. She wants to determine how many people wake up before 6 a.m. Which sample is the most random?
5 students out of each of the 4 homeroom classes
A researcher wants to develop a product for families who have small children. He needs to determine if there is a nationwide interest in a toy that will help children describe their emotions. He asks only a sample of the population to complete his survey. What should be true of the sample so that the results of the survey can be used to predict the results of surveying the population?
The families included in the sample should represent the families in the population.
A middle school contains sixth, seventh, and eighth graders. Each grade level contains approximately the same number of students. The principal wants to find the answer to a survey question affecting each student in the school. He asks a sample group "What time do you get up in the morning?" Which of these characteristics define the best sample?
an equal number of students chosen at random from each grade level
A random sample of people is chosen to participate in a survey. For the survey results to be considered valid, which must be true of the random sample?
The sample must represent the target population.
Which best describes a random sample?
a sample in which the elements are chosen by chance
A survey is targeted at 12-year-old children. Which questions are appropriate for the population? Choose all that apply.
Where is your favorite vacation spot? What is the last book you read?
A camp counselor is trying to determine, of the places they have previously camped, where his campers' favorite camping spots are. What is the population of the survey?
campers who have gone camping before
The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp
Most of the data in each plot is greater than 48.
The dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-week period. Time Spent Playing Outdoors for Fifth Graders and Seventh Graders
The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
Myra polled twenty-five students in her class to determine the number of movies the students attended at the theater this year. The results are in the table. She decided to find the mean of a sample using Row 1 and Row 5. Number of Movies Attended Row 1 6 5 2 8 6 Row 2 2 0 4 5 2 Row 3 3 4 3 0 1 Row 4 5 2 6 3 3 Row 5 2 3 2 2 4 What is the mean of her sample?
4
The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond? Duck Pond Samples Sample 1 Sample 2 Mallard 13 Mallard 12 Wood Duck 4 Wood Duck 2 Green Wing Teal 6 Green Wing Teal 6 American Widgeon 2 American Widgeon 5
Mallard population
Zander wants to find out what the most popular sporting event is in the district's high schools. He surveys a sample of the population. Under which condition is surveying a sample valid?
The population contains a large diverse group of people.
The sample must represent the target population.
Yes, it is representative because each type of book was represented in the approximate proportion that exists in the library.
Section 2
(22 cards)