21.32 Coaching and SAT Scores. Coaching companies claim thattheir courses can raise the SAT scores of high school students. Ofcourse, students who retake the SAT without paying for coachinggenerally raise their scores, too. A random sample of studentswho took the SAT twice found 427 who were coached and 2733who were uncoached.20 Looking at their Math scores on the firstand second tries, we have these summary statistics:CoachedUncoachedn427x521Try 1S100T561Try 22733 505 101 527S10010140Gain58The summary statistics for Gain are based on the changes in thescores of the individual students. Let's first ask if students whoare coached increased their scores significantly.a. You could use the information on the Coached line tocarry out either a two-sample t test comparing Try 1 withTry 2 for coached students or a matched pairs t test usingGain. Which is the correct test? Why?b. Carry out the proper test. What do you conclude?c. Give a 99% confidence interval for the mean gain of allstudents who are coached.

Given,the data on coached and uncoached students.To,tell the test type,carry the hypothesis, and99%…

Answered: sign a. You could use the information…

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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The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
Caden then performs a significance test. First, he performs 100 simulations. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A plays the role of the treatment group and group B plays the role of the control group. After each simulation, he subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram. 30 28 26 24 22 12 10 6. 2 Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 0.8 higher than the average for the control group. Based on the 100 simulations, are the results of the experiment significant at the 5% level? yes no Number of simulations [-2.7, -2.2) [-2.2, -1.7) [-1.7, -1.2) [-1.2, -0.7) [-0.7, -0.2) [-0.2, 0.3) [0.3, 0.8) [0.8, 1.3) [1.3, 1.8) [1.8, 2.3) [2.3, 2.8)
Q3.3 Normal, but why? A meal package for use at the space station is to be prepared by combining three separate components: protein, fruit/vegetable, and grains. Each of the components is to be randomly selected. Summary values for the caloric content for each of the components are given in the table. Component Protein (P) Fruit/vegetable (F) Grain (G) Mean (calories) 120 55 84 Stdv (calories) 6.4 Save Answer 1.0 3.6 Assume that the distributions of caloric content for each of the components are approximately normally distributed. Since the meal package consists of protein, fruit/vegetable, and grains, the total caloric content of a meal package is the random variable T, where T = P + F + G. Briefly explain why it is appropriate to say that T is approximately normally distributed. Q3.4 Probability Less than 275 Calories On your own piece of paper find the approximate probability that a randomly selected meal package will have less than 269 calories? (Draw an appropriate diagram, find a…
The floor exercise is a commonly shared event between the Women’s and Men’s Artistic Gymnastics programs. Let’s compare the floor exercise scores of the female gymnasts and male gymnasts. To do this, we will consider the 2007, 2011, and 2015 results as sample data. Part B: Apparatus Finals Let’s now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. Female Apparatus Finals Score Male Apparatus Finals Score 15.25 14.35 14.85 14.05 14.2 14.05 13.95 13.95 13.65 13.85 13.3 13.4 12.7 12.8 0 11.55 14.6 13.6 14.45 13.4 14.2 13.35 13.55 13.1 13.25 13.1 12.85 13.05 11.8 12.7 11.25 12.4 15 13 14.9 12.7 14.45 12.65 14.3 12.65 13.7 12.6 13.55 12.25 13.45 12.15 13.15 12.05 i. Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. ii. Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus…
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