WorksheetsRandom Sampling and Making Inferences
Total questions: 20
Worksheet time: 20mins
A recent survey of 800 seventh graders from across the state shows 4 out of 10 like to play paper football. How many students said they like to play paper football?
40 students
200 students
320 students
8,000 students
Assign each car in a dealership a number and then use a random-number table to select the cars to be inspected.
systematic
random sample
convenience
biased sampling
Zoie completes a report by asking 70 students across campus. She found that 48% of CIAA students do not wash their hands after using the bathroom. What is the population of her survey?
the bathroom
CIAA students
48% of students
What inference can you draw from this survey?
I can infer that most students in this school like pizza.
I can infer that very few students like hamburgers.
I can infer that their favorite is corn dogs.
I can infer that most students in this school like hamburgers.
The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing tournament. Select the inference that can be made based on the data collected.
On average, most participants caught and released 5 or more fish.
More participants caught 6 fish than any other number.
The same participants who caught and released 1 fish the first day caught and released 1 fish on the second day.
On average, participants caught and released more fish on Day 2.
A travel club has 3,000 members. A random sample of 50 of the club members found that 12 people like mountain vacations best. Which statement is NOT supported by the sample data?
Twenty-four percent of those sampled say they like mountain vacations best.
An estimated 720 club members would likely say they enjoy mountain vacations best.
Almost one-quarter of club members would likely say they enjoy mountain vacations best.
More than 2,500 club members would likely say they prefer other vacations over mountain vacations.
The dot plots show the number of calls that two radio stations receive each day for a ten-day period. The two shows are shown at the same time. Which of the following inferences based on the median values is valid?
The radio shows receive similar amounts of calls.
Radio Show 1 generally receives more calls.
Radio Show 2 generally receives more calls.
Margo wants to convince her father to change her curfew from 9 P.M. to 10 P.M. She gathers data on curfew times from a random sample of students at her middle school. Can Margo use these data to present a valid inference that will convince her father? Explain.
Yes; Most students have a curfew of 10 P.M. or later.
Yes; More students have a curfew of 9 P.M. than any other time.
No; Most students have a curfew of 9 P.M. or earlier.
No; More students have a curfew of 10 P.M. or 11 P.M. than 8 P.M.
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
Thirty randomly selected students from her school
Thirty students who are rarely tardy
thirty of her friends
There are 400 students at Polly's school. She surveyed a random sample of 80 students to find their favorite hobby. 19 said they like to read. 30 said they like to be with friends. 8 said they like to do crafts. 23 said they like to play sports. Polly infers that doing crafts is the least popular hobby at her school. Refer to the data table. Polly surveys two more samples. Do the results from these samples support the inference made from the first sample?
Yes, the survey results support the inference that doing crafts is the least popular hobby at Polly's school.
No, the survey results does not support the inference that doing crafts is the least popular hobby at Polly's school.
Q1. How many red shirts are there?
A) 5 red shirts
B) 17 red shirts
C) 40 red shirts
D) 83 red shirts
The dot plots show how long it took students in Mr. Chauncey's two science classes to finish their science homework last night. Find the means to make an inference about the data.
The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.
The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 1st period class slightly longer to finish their homework than it did the students in the 2nd period class.
The 1st period mean is 35. The 2nd period mean is 38.75. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.
The 1st period mean is 38.75. The 2nd period mean is 35. On average, it took students in the 2nd period class slightly longer to finish their homework than it did the students in the 1st period class.
Litzy collects data from a random sample of 7th graders. Out of 40 respondents, 7 attend afterschool programs. Of the 200 7th graders attending Litzy's school, how many would be expected to attend afterschool programs?
14 7th graders
28 7th graders
35 7th graders
42 7th graders
Brazil asks 7 classmates how many erasers and pens they carry in their bags. The mean number of erasers is 10. The mean number of pens is 4. What inference could Brazil make using this data?
Most of Brazil's classmates carry more pens than erasers in their bags.
All of Brazil's classmates carry more erasers than pens in their bags.
Most of Brazil's classmates carry more erasers than pens in their bags.
Most of Brazil's classmates carry similar amounts of erasers and pens in their bags.
A random sample of 50 was taken from a shipment of 12,000 light bulbs. There were 2 broken bulbs in the sample. How many broken bulbs would you expect in the entire shipment?
240
480
2,400
4,800
Mykel surveyed 15 7th graders and 15 8th graders at his school to see how many hours they spend per day listening to music. He made two box plots to compare the data sets. What inference can he draw from the data sets?
The range is greater for the 8th graders, so there is greater variability for the 8th graders than the 7th graders.
The person who listens to music the least is a 7th grader.
The median is greater for the 7th graders, so they generally spend more time listening to music than 8th graders.
No inferences can be made from the box plots.
What inference is probably true based on the mean and median of the scores below? Blue Team Averages per quarter: 91%, 88%, 87%, 90% Green Team Averages per quarter: 88%, 85%, 82%, 89%
The Blue team had slightly higher grades, on average.
The Green team had slightly higher grades, on average.
The Blue and Green teams had the exact same scores, on average.
The Blue team’s scores were twice as great as the Green team’s scores.
If you compare the medians of each data set, who spends more time online?
Seventh graders
Eight graders
Both grades spend an equal amount of time online.
Impossible to determine form the data sets.
Andre wants to survey a random sample of the student body in his school to find out which day after school would work best for students to do volunteer work for a local charity. Which sample would best represent the student body?
asking twenty students waiting in line for lunch
asking twenty students on their way to the bus after school
asking one person from the seventh grade daily for twenty days
asking one person each from twenty different classrooms during the first class period
Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart above shows the number of students from the random sample who chose each candidate. A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?
Rasheed will win with 192 votes.
Rasheed will win with 189 more votes than he had in the survey
Janelle will win with 8 more votes than the second-place finisher, Rasheed.
Janelle will win with 128 more votes than the second-place finisher, Rasheed
