/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 Computer gaming Do experienced c... [FREE SOLUTION] | 91影视

91影视

Computer gaming Do experienced computer game players earn higher scores when they play with someone present to cheer them on or when they play alone? Fifty teenagers who are experienced at playing a particular computer game have volunteered for a study. We randomly assign 25 of them to play the game alone and the other 25 to play the game with a supporter present. Each player鈥檚 score is recorded. (a) Is this a problem about comparing means or comparing proportions? Explain. (b) What type of study design is being used to produce data?

Short Answer

Expert verified
(a) Comparing means; (b) Controlled experimental study.

Step by step solution

01

Identify the Type of Comparison

This problem is about comparing the scores of two different groups of game players: those who play alone and those who play with a supporter. We are comparing numerical values (scores), which implies a comparison of means. Thus, this is a problem about comparing means of two groups.
02

Identify the Study Design

The study involves randomly assigning participants to two different groups and recording their scores to compare the effects of playing alone versus playing with a supporter. This indicates it's a controlled experimental study where the independent variable (presence of a supporter) is manipulated.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Experimental Design
Experimental design is a crucial process in scientific research that helps researchers set up a study systematically to answer specific questions. In the context of our computer gaming example, the experiment is set to determine whether encouragement affects gaming performance. To carry out this study, researchers design a setup where the conditions, such as having or not having a supporter present, are carefully controlled.
To ensure the reliability of the results, participants are randomly assigned to two different groups: one that plays the game alone and another with a supporter present. Random assignment is a fundamental aspect of experimental design because it eliminates biases and helps evenly distribute characteristics that could influence the game's scores across both groups. By controlling variables and utilizing randomization, the study effectively isolates the independent variable, enabling clear observation of its impact.
Mean Comparison
In any study involving numerical data, comparing means is a statistical method used to evaluate the differences between two or more groups. In our exercise, the main focus is on comparing the scores (numerical values) from two groups: players with supporters and those without.
By calculating the mean score, which is found by totaling all the scores in a group and then dividing by the number of participants, researchers can easily compare which group performed better on average. This process helps identify significant differences and draw conclusions about the impact of the independent variable on the dependent variable, which in this case, are the scores.
Control Group
A control group is an essential component of many experimental designs. It is used as a benchmark to measure the effects and significance of changes in the experimental condition. In our computer game study, the participants playing alone act as the control group.
The role of this group is to serve as a comparison for the experimental group, which is playing with a supporter present. This setup allows researchers to observe what the usual performance looks like without the experiment's manipulated variable鈥攊n this case, the presence of a supporter鈥攊mpacting it. By comparing the control group to the experimental group, researchers aim to isolate and understand the effect supporters may have on gaming performance.
Independent Variable
The independent variable is a crucial element of experimental research, representing the factor that is intentionally changed or controlled by researchers to study its effect on the dependent variable. In the computer gaming study, the presence of a supporter is the independent variable.
Researchers manipulate this variable to see if it affects the dependent variable, which is the player's game score. By systematically changing the conditions for the two groups (with versus without supporter), researchers can observe how these variations impact performance. This isolation of variables helps provide clearer insights into the relationship between encouragement and gaming performance.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Multiple choice: Select the best answer for Exercises 67 to 70. Exercises 69 and 70 refer to the following setting. A study of road rage asked samples of 596 men and 523 women about their behavior while driving. Based on their answers, each person was assigned a road rage score on a scale of 0 to 20. The participants were chosen by random digit dialing of telephone numbers. We suspect that men are more prone to road rage than women. To see if this is true, test these hypotheses for the mean road rage scores of all male and female drivers: (a) \(H_{0} : \mu_{M}=\mu_{F}\) versus \(H_{a} : \mu_{M}>\mu_{F}\) (b) \(H_{0} : \mu_{M}=\mu_{F}\) versus \(H_{a} : \mu_{M} \neq \mu_{F}\) (c) \(H_{0}=\mu_{M}=\mu_{F}\) versus \(H_{a} : \mu_{M}<\mu_{F}\) (d) \(H_{0} : \overline{x}_{M}=\overline{x}_{F}\) versus \(H_{a} : \overline{x}_{M}>\overline{x}_{F}\) (e) \(H_{0} : \overline{x}_{M}=\overline{x}_{F}\) versus \(H_{a} \cdot \overline{x}_{M}<\overline{x}_{F}\)

Credit cards and incentives A bank wants to know which of two incentive plans will most increase the use of its credit cards. It offers each incentive to a group of current credit card customers, determined at random, and compares the amount charged during the following six months. (a) Is this a problem about comparing means or comparing proportions? Explain. (b) What type of study design is being used to produce data?

Multiple choice: Select the best answer for Exercises 67 to 70. There are two common methods for measuring the concentration of a pollutant in fish tissue. Do the two methods differ on the average? You apply both methods to a random sample of 18 carp and use (a) the paired \(t\) test for \(\mu_{d}\) (b) the one-sample \(z\) test for \(p\) . (c) the two-sample \(t\) test for \(\mu_{1}-\mu_{2}\) (d) the two-sample \(z\) test for \(p_{1}-p_{2}\) (e) none of these.

Exercises 48 to 50 refer to the following setting. Do birds learn to time their breeding? Blue titmice eat caterpillars. The birds would like lots of caterpillars around when they have young to feed, but they must breed much earlier. Do the birds learn from one year鈥檚 experience when to time their breeding next year? Researchers randomly assigned 7 pairs of birds to have the natural caterpillar supply supplemented while feeding their young and another 6 pairs to serve as a control group relying on natural food supply. The next year, they measured how many days after the caterpillar peak the birds produced their nestlings.\(^{35}\) Did the randomization produce similar groups? First, compare the two groups of birds in the first year. The only difference should be the chance effect of the random assignment. The study report says: 鈥淚n the experimental year, the degree of synchronization did not differ between food-supplemented and control females.鈥 For this comparison, the report gives \(t=-1.05\). (a) What type of t statistic (one-sample, paired, or two-sample) is this? Justify your answer. (b) Explain how this value of t leads to the quoted conclusion.

Fear of crime The elderly fear crime more than younger people, even though they are less likely to be victims of crime. One study recruited separate random samples of 56 black women and 63 black men over the age of 65 from Atlantic City, New Jersey. Of the women, 27 said they 鈥渇elt vulnerable鈥 to crime; 46 of the men said this.\(^{12}\) (a) Construct and interpret a 90% confidence interval for the difference in population proportions (men minus women). (b) Does your interval from part (a) give convincing evidence of a difference between the population proportions? Explain.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.