15. Students in a large statistics class were randomly divided into two groups of 20 each. Thefirst group took the midterm exam with soft music playing in the background while thesecond group took the exam with no music playing. The average scores of the two groups onthe exam were compared.(a) Describe how random assignment could be done using technology. Be specific.(b) Create an outline showing how the researchers could carry out a completely randomizeddesign for this experiment.(c) Suppose the results of the experiment showed that there was a statistically significantdifference in the average scores of the two groups. Explain what statistically significantmeans.

Given Information: Students in a large statistics class were randomly divided into two groups of 20…

Answered: 15. Students in a large statistics…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Questions in red questions 1 and 2 only
Explain the reasons to study randomized controlled experiments?
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Researchers investigate how the presence of cell phones influence the quality of human interaction. Subjects are randomly selected from a population and divided into an experimental group that is asked to leave their phones in the front of the room and a control group that are not asked to leave their cell phones at the front of the room. Subjects are left alone for 10 minutes and then asked to take a survey designed to measure quality of interactions they had with others in the experiment. What statistical test is appropriate?
True or False: Suppose I conducted a study using random assignment. This suggests that I took great effort to ensure that all of my subjects had an equal chance of being in either group.
You are a medical researcher that wants to determine if your new drug can lower people's blood pressure. You recruit 60 participants with high blood pressure to be part of your study. You randomly assign participants to one of three groups to receive either 10 mg of your drug, 5 mg, or 0 mg (given as a placebo control). After 2 weeks, participants' blood pressure is measured and you compare among the 3 groups. Which statistical test would be best to determine if there is a significant difference in blood pressure among the three groups?
An ANOVA test is a way to find out if survey or experiment results are significant. In other words, they help you to figure out if you need to reject the null hypothesis or accept the alternate hypothesis. ANOVA is a test between groups to see if there’s a difference between them. State the four assumptions required for one-way ANOVA. How crucial are these assumptions? One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations? In one-way ANOVA, identify the statistic used a. as a measure of variation among the sample means. b. as a measure of variation within the samples. c. to compare the variation among the sample means to the variation within the samples. 4. What is a two-way ANOVA?
Many people like to play app based games on their mobile devices. Suppose we would like to estimate the average amount of time (in hours) per week students have played an app-based game on their mobile device at CSU Stan. In order to do this, we take a random sample of 20 students and ask them how many hours they have played an app- based game in the last week. The following data were collected: 11 4 5.5 5.5 7 6.2 10 10 7.5 6 7 7.5 2.5 Which of the following is the correct 99% confidence interval for the estimate of the average number of hours (per week) that all CSU Stan students have played an app- based game? [5.28, 7.59] [4.86, 8.01] [5.48,7.39] [5.86, 7.01]
5. Use the data set 1. This is the result of a randomized trial in Uganda where 10 students in the same village were selected and given a solar-powered reading lamp. The second group was not given any lamp. The number of students out of 10 who improved their school grades for both groups were recorded. The experiment was repeated in 50 villages. Test the hypothesis that solar-powered reading lamps are effective in improving school grades in Uganda.
2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.
A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples
When does Two Related Samples occur?

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