Suppose that a middle school is using two different teaching formats for their 6th grade mathclasses: In-Person and Online. At the end of the school year the 6th grade students are given a testwhere their math skills are scored as Excellent, Proficient, Needs Improvement, or At-Risk. Themiddle school collects the following data:ExcellentProficientNeeds ImprovementAt-Risk(a) What was the sample size in this study?In Person39755918Online1151615(b) What percentage of the sample were students that took an In-Person class AND scoredExcellent on their test?(c) What percentage of the sample were students that took an Online class OR scored NeedsImprovement on their test?(d) Construct the conditional distribution based on teaching format.Which teaching format had the HIGHEST rate of At Risk scores? What was that rate?(f) Use the conditional distribution to give a one or two sentence argument for why In-Personclasses seem to be the more successful teaching format.(g) Use the conditional distribution to give a one or two sentence argument for why Online classesseem to be the more successful teaching format.

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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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A social psychologist wanted to determine whether attitudes of men toward abortion were different in rural and urban areas. He prepared a questionnaire and administered it to a group of city dwellers and a group of country dwellers. Each city man was matched with a country man on age, income, and education. High scores indicate positive attitudes toward abortion. Here are the questionnaire scores. Rural Men Urban Men 22 25 19 23 18 20 17 18 15 12 10 9 6 4 4 3 a. What statistical method should be used and why? b. Calculate a 95% confidence interval about the difference in the two populations. c. Use the CI to test the null hypothesis that rural and urban men have identical attitudes toward abortion.
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A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow. Student Math Writing 1 540 474 2 432 380 3 528 457 4 574 612 5 448 420 6 502 520 7 480 430 8 499 459 9 610 615 10 572 535 11 390 329 12 593 613 Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score − writing score.) 1. Calculate the test statistic. (Round your answer to three decimal places.) 2. Calculate the p-value. (Round your answer to four decimal places.) p-value =
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The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree. College Grads 485 487 518 517 650 542 570 426 566 499 588 562 497 448 592 453 High School Grads 442 492 580 478 479 425 486 485 528 390 524 535 (b) What is the point estimate of the difference between the means for the two populations? (c) Find the value of the test statistic. (Round your answer…
The College Board SAT college entrance exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the SAT follow. Two samples are dependent with matched data. Student Math Writing Student Math Writing 540 474 480 430 432 380 499 459 528 463 615 541 610 574 612 10 572 390 593 448 420 11 335 502 526 12 613 Use a 0.05 level of significance and test for a difference between the population mean for the math a. scores and the population mean for the writing scores. What is the p-value and what is your conclusion? b. What are the estimates of the population mean scores for the two tests? Which test reports the higher mean score? 1234 n6
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