Using Data from a Random Sample to Draw Inferences About a Population with an Unknown Characteristic

Population or Sample? A quality control engineer is curious about the thickness of paint on a car at her factory. She randomly selects 30 points on the car and measures the paint thickness at each of those points.

• Population

• Sample

What is a single value that is used to estimate an unknown parameter of a population based on sample data?

• Point estimate

• Parameter

• Confidence level

• Standard error

There are 30 people. 11 are picked to take a survey. What is the sample?

• All 30 people

• The 11 people who take the survey

• The 19 people who do not take the survey

Tags

CCSS.7.SP.A.1

CCSS.7.SP.A.2

The table shows the results of a survey of 200 people attending a hockey game. The attendance for the hockey game is about 25,000 visitors each game. Based on the table, how many people out of 25,000 could be expected to buy a pennant?

• 11 people

• 2,750 people

• 22 people

• 6,050 people

Tags

CCSS.7.EE.B.3

CCSS.7.RP.A.2

CCSS.7.RP.A.3

CCSS.7.SP.A.1

CCSS.7.SP.A.2

Suppose that 25 percent of women and 22 percent of men would answer yes to a particular question. In a simulation, a random sample of 100 women and a random sample of 100 men were selected, and the difference in sample proportions of those who answered yes, was calculated. The process was repeated 1,000 times. Which of the following is most likely to be a representation of the simulated sampling distribution of the difference between the two sample proportions?

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Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.IC.B.5

CCSS.HSS.ID.A.2

A class of 20 students includes 14 seniors and 6 juniors. Each day, the teacher randomly selects an SRS of 4 students to present the answer to a homework question. Which of the following correctly describes one trial of a simulation to estimate the probability that all four chosen are juniors?

• Let 1 - 70 = senior and 71 - 100 = junior. Generate 4 random integers with replacement from 1 to 100 and count how many integers are between 71 and 100.

• Let 1 - 70 = senior and 71 - 100 = junior. Generate 4 random integers without replacement from 1 to 100 and count how many integers are between 71 and 100.

• Let 1 - 14 = senior and 15 - 20 = junior. Generate 4 random integers with replacement from 1 to 20 and count how many integers are between 15 and 20.

• Let 1 - 14 = senior and 15 - 20 = junior. Generate 4 random integers without replacement from 1 to 20 and count how many integers are between 15 and 20.

• Let 1 - 14 = senior and 15 - 20 = junior. Generate 6 random integers with replacement from 1 to 20 and count how many integers are between 15 and 20.

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

A sample of students is taken from the school's A honor roll. The school estimates that there are actually 360 students on the A honor roll. Using this sample from the table, how many students on the A honor roll are 8th graders?

• 126 8th graders

• 280 8th graders

• 172 8th graders

• 114 8th graders

Which of the following is a characteristic that should be considered when identifying a sample?

• The sample's ability to provide biased results

• The sample's representativeness of the target population

• The sample's convenience for the researcher

• The sample's size being as small as possible

The mean number of catfish in all 6 samples is approximately 5.7.  If 200 fish are in the pond, which proportion can be used to predict the number of catfish in the population?

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Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

This table represents a sample of students at Brian's middle school. What would be the POPULATION in this situation? HINT: you are NOT looking for a number!

• 8th graders

• 7th graders

• all the students in the school

• all the grades you could earn on a test