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Precise offers People often use round prices as first offers in a negotiation. But would a more precise number suggest that the offer was more reasoned and informed? In an experiment, 238adults played the role of a person selling a used car. Each adult received one of three initial offers: \(2000, \)1865(a precise under-offer), and \(2135(a precise over-offer). After hearing the initial offer, each subject made a counter-offer. The difference in the initial offer and counter-offer was the largest in the group that received the \)2000 offer. Describe how the researchers could have randomly assigned the subjects to the treatments

a. using slips of paper.

b. using technology.

c. using Table D.

Short Answer

Expert verified

Part(a) Researchers could have randomly assigned to the treatments writing all the numbers seperately using slips of paper.

Part(b) Researchers can assign three treatments to different volunteers at random using technology.

Part(c) Researchers can assign this method to each participant separately.

Step by step solution

01

Part(a) Step 1 : Given information

We need to find how researchers can randomly assign the subjects to the treatments using slips of paper.

02

Part(a) Step 2 : Simplify

Write the digits 1, 2, and 3 on separate pieces of paper.

Treatment 1 : $2000

Treatment 2 : $1865

Treatment 3 : $2135
Arrange the sheets on a table, numbers facing down.
Mix the sheets together until you can't tell which number belongs where on the table.
Choose one of the slips of paper and apply the treatment that corresponds to the number to the subject.
Continue until all of the subjects have been given a therapy.
03

Part(b) Step 1 : Given information

We need to find how researchers can randomly assign the subjects to the treatments using technology.

04

Part(b) Step 2 : Simplify

The researchers aim to know if people commonly utilise round prices as the first offer in a negotiation or not in this study.
As a result, the researchers might have used technology to randomly assign the participants to the therapies by;
The random number drawing approach can be used to perform random allocation using technology.
Draw a random number from uniform (0,0.9)and go with first pick if the number is between 0and 0.3.
Assign second choice if the number is within 0.3-0.6, and third choice if the number is not within 0.3-0.6.
Those three treatments can be assigned to different volunteers at random using this method.

05

Part(c) Step 1 : Given information

We need to find how researchers can randomly assign the subjects to the treatments using Table D.

06

Part(c) Step 2 : Simplify

The researchers aim to know if people commonly utilise round prices as the first offer in a negotiation or not in this study.
So, using technology, the researchers may have randomly assigned the participants to the therapies; Table D is unclear, but it could be a random number table.
Each of the three treatments can be assigned at random using a random number table.
Pick a one-digit number between 1and 9 at random.
Find the remaining by multiplying the number by three.
If the residual is 0, select the third option; otherwise, use the reminder number option.
Apply this method to each participant separately.

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Most popular questions from this chapter

You wonder if TV ads are more effective when they are longer or repeated more often

or both. So you design an experiment. You prepare 30-second and 60-second ads for a

camera. Your subjects all watch the same TV program, but you assign them at random

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it three times; the third group sees the 60-second ad once; and the last group sees the

60-second ad three times. You ask all subjects how likely they are to buy the camera.

Which of the following best describes the design of this experiment?

a. This is a randomized block design, but not a matched pairs design.

b. This is a matched pairs design.

c. This is a completely randomized design with one explanatory variable (factor).

d. This is a completely randomized design with two explanatory variables (factors).

e. This is a completely randomized design with four explanatory variables (factors).

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b. comparing several treatments; using chance to assign subjects to treatments.

c. always having a placebo group; using the double-blind method.

d. using a block design; using chance to assign subjects to treatments.

e. using enough subjects; always having a control group.

The administration at a high school with 1800 students wants to gather student opinions about parking for students on campus. It isn’t practical to contact all students.

a. Give an example of a way to choose a voluntary response sample of students. Explain how this method could lead to bias.

b. Give an example of a way to choose a convenience sample of students. Explain how this method could lead to bias.

c. Describe how to select an SRSof50students from the school.

d. Explain how the method you described in part (c) avoids the biases you described in parts (a) and (b).

A louse-y situation A study published in the New England Journal of Medicine compared two medicines to treat head lice: an oral medication called ivermectin and a topical lotion containing malathion. Researchers studied 812 people in 376 households in seven areas around the world. Of the 185 households randomly assigned to ivermectin, 171 were free from head lice after 2 weeks, compared with only 151 of the 191 households randomly assigned to malathion.

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b. There is one dot at 0.09. Explain what this dot means in this context.

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