A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places 50 participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand. To select the groups, the researcher labels each participant with a number and selects slips of paper labeled 1–50 from a bowl at random. The first 25 participants whose numbers are selected will be the treatment group, while the other 25 will be the control group.
A teacher wants to know if burning a scented candle affects students’ performance on pop quizzes. In the experiment, there will be a treatment group and a control group each taking their quizzes in a room that either does or does not have a scented candle burning.
A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand.
A researcher is interested in whether using mental imagery can help people remember specific details when given information. To conduct the experiment, the researcher selects the treatment group by placing numbered slips of paper in a hat and randomly selecting half of the numbers, making sure to mix the slips between each selection.
A researcher is interested in whether using mental imagery can help people remember specific details when given information. To conduct the experiment, the researcher asks 100 volunteers to participate. The researcher places everyone’s name in a hat and randomly selects 50 names, making sure to sure to mix the names between each selection.
A research group is comparing the learning outcomes of students who are taught a lesson using four different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researchers will randomly place the students into five equally sized treatment groups suitable for comparison, four of which will receive a different teaching technique and one of which will remain a control group.
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 5,100 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the items, labeled 0001–5100, into three equally sized treatment groups suitable for comparison. Carry out the random assignment using the given selection from a table of random digits, starting with the first row and first column.

A researcher is comparing three new formulas for grass killer. To conduct the experiment, the researcher purchases 30 pieces of sod from a local vendor and selects the treatment groups by placing slips of paper numbered 1–30 in a hat. To make three groups for the three formulas, the researcher randomly selects 10 numbers, making sure to mix the slips between each selection, to get the formula 1 group. Then the researcher selects 10 more numbers to get the formula 2 group. The remaining 10 numbers make up the formula 3 group.
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