Statistics Unit Example Questions

A researcher wants to determine the percentage of American teenagers who send or receive text messages while doing homework. Which of the following techniques would likely be the MOST efficient way of obtaining an accurate estimate for this percentage?

• Randomly select teenagers outside of a local library and ask them if they send or receive text messages while doing homework.

• Randomly select teenagers from to the list of all teenage students in every state in America and mail surveys to those teens, asking them if they send or receive text messages while doing homework.

• Send a survey to every teenager in America and ask them if they send or receive text messages while doing homework.

• Randomly select teenagers from the list of all teenage students in one state and mail surveys to those teens, asking them if they send or receive text messages while doing homework.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

Ms. Clayborne is remodeling her restaurant. She plans to buy tables in different sizes to accommodate different group sizes. What type of data should she collect before buying the tables?

• Collect data on the most popular menu items for each meal

• Collect data on the days of the week when the restaurant is the busiest

• Collect data on the size of different groups that come to dine at the restaurant

• Collect data on the times when the greatest number of customers arrive

Tags

CCSS.6.SP.B.5B

Zoey wants to determine if drinking juice before exercising increases students' endurance. Which type of study would be best?

• Observation

• Experiment

• Survey

• Simulation

Tags

CCSS.HSS.IC.B.3

Which of these is the best example of an observational study?

• Data gathered by listing differences in students' play during morning recess compared with afternoon recess.

• Data gathered by having people born in January and people born in August record their favorite season.

• Data gathered from exposing one group of bacteria to sunlight while another group of bacteria is not exposed.

• Data gathered by researching on the internet whether a product is favored by a certain age group.

Tags

CCSS.HSS.IC.B.3

The table below contains data from an experiment involving plant growth in inches. All conditions were identical except the daily amount of water in milliliters. Based on the data in the table, which conclusion is valid?

• There is a significant difference between the parameters for Plants B and C.

• There is a significant difference between the parameters for Plants B and D

• There is no significant difference between the parameters for Plants A and B.

• There is no significant difference between the parameters for Plants D and E.

Tags

CCSS.7.SP.A.2

A scientist conducted an experiment with 60 volunteers decided in to two equal groups. Each person in Group 1 drank a glass of warm milk before bed, and each person in Group 2 drank a glass of water before bed. The time each person took to fall asleep was recorded. The table summarizes the results. The scientist's hypothesis was the warm milk before bed decreases the time needed to fall asleep. Do the results of the experiment support this hypothesis?

• No, because 18+2.5 is less than 24-2.8

• Yes, because 18*2.5 is much less than 24*2.8

• No, because the difference between the means is less than either standard deviation.

• Yes, because the difference between the means is more than twice either standard deviation.

Tags

CCSS.7.SP.B.4

A medical researcher surveys all shoulder surgery patients in each of 9 randomly selected counties in North Carolina. Which type of sample does this represent?

• Stratified

• convenience

• cluster

• simple random

Tags

CCSS.HSS.IC.B.3

An earphone manufacturer evaluates product quality by testing every 17th set of earphones produced per day. Which type of sampling methods does this describe?

• Cluster

• Stratified

• simple random

• systematic

Tags

CCSS.HSS.IC.B.3

The owner of a nationwide chain of shopping malls is interested in the buying habits, on any given day, of the people who shop at the malls. Which sentence BEST describes the sample the owner could use to make inferences about the population?

• Choose one shopping mall from the chain and survey all the people who shop there every day of the week.

• Randomly select a sample of shopping malls from the chain throughout the nation and survey a random sample of the people who shop at the mall each day of the week.

• Choose one shopping mall from the chain and survey the managers of the three largest stores about the habits of the people who shop in their stores.

• Randomly select a sample of shopping malls from the chain throughout the nation and survey a random sample of the people who shop at the mall each day of the week.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

Loraine surveyed 25 randomly-chosen students at their school who sleep eight hours each night. The mean grade point average of these students was 3.15, and the standard deviation was 0.85 grade points. Which statement is true?

• If Loraine increases the sample size to 100, the margin of error decreases from 0.34 to 0.17 grade points.

• The margin of error was 1.26 grade points.

• If Loraine increases the sample size to 10, the margin of error decreases from 0.34 to 0.17 grade points.

• The margin of error was 0.6 grade points.

Tags

CCSS.HSS.IC.B.4