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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 2 - 3 - - 5 - 6 - 7 - - 10 12 528 M₂: Mai Moso 574 480 499 572 390 374 593 612 610 6:5 430 335 613 (a) 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) formulate the hypotheses. -M₂² MO M₂: MUSO Calculate the test statistic (Round your answer to three decimal places) Calculate the p-value. (Round your answer to four decimal places) What is your conclusion? Reject H. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. Do not reject M₂. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. Reject M. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. Do not reject H. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test (b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score-writing score.) What are the estimates of the population mean scores for the two tests? Which test reports the higher mean score? The math test reports -Select- mean score than the writing test

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 2 - 3 - - 5 - 6 - 7 - - 10 12 528 M₂: Mai Moso 574 480 499 572 390 374 593 612 610 6:5 430 335 613 (a) 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) formulate the hypotheses. -M₂² MO M₂: MUSO Calculate the test statistic (Round your answer to three decimal places) Calculate the p-value. (Round your answer to four decimal places) What is your conclusion? Reject H. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test. Do not reject M₂. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. Reject M. We can conclude that there is a significant difference between the population mean scores for the math test and the writing test. Do not reject H. We cannot conclude that there is a significant difference between the population mean scores for the math test and the writing test (b) What is the point estimate of the difference between the mean scores for the two tests? (Use math score-writing score.) What are the estimates of the population mean scores for the two tests? Which test reports the higher mean score? The math test reports -Select- mean score than the writing test

MATLAB: An Introduction with Applications
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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## Statistical Analysis of Exam Scores: Math vs. Writing 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 are presented below: | Student | Math | Writing | |---------|------|---------| | 1 | 450 | 474 | | 2 | 520 | 513 | | 3 | 426 | 517 | | 4 | 574 | 612 | | 5 | 428 | 404 | | 6 | 510 | 520 | | 7 | 480 | 475 | | 8 | 409 | 453 | | 9 | 613 | 615 | | 10 | 572 | 550 | | 11 | 539 | 531 | | 12 | 393 | 613 | ### Statistical Analysis Instructions a) 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.) **Formulate the hypotheses:** - \( H_0: \mu_d \leq 0 \) - \( H_a: \mu_d > 0 \) OR - \( H_0: \mu_d = 0 \) - \( H_a: \mu_d \neq 0 \) Please mark the appropriate hypotheses: 1. ⬜ \( H_0: \mu_d = 0 \) ⬜ \( H_a: \mu_d \neq 0 \) 2. ⬜ \( H_0: \mu_d \geq 0 \) ⬜ \( H_a: \mu_d < 0 \) 3. ⬜ \( H_0: \mu_d \leq 0 \) ⬜ \( H_a: \mu_d > 0 \) 4. ⬜ \( H_0: \mu_d = 0 \) ⬜ \( H_a: \mu_d > 0 \) **Calculate the test statistic:** (Round your answer to three decimal places.) \[ \text{
Transcribed Image Text:## Statistical Analysis of Exam Scores: Math vs. Writing 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 are presented below: | Student | Math | Writing | |---------|------|---------| | 1 | 450 | 474 | | 2 | 520 | 513 | | 3 | 426 | 517 | | 4 | 574 | 612 | | 5 | 428 | 404 | | 6 | 510 | 520 | | 7 | 480 | 475 | | 8 | 409 | 453 | | 9 | 613 | 615 | | 10 | 572 | 550 | | 11 | 539 | 531 | | 12 | 393 | 613 | ### Statistical Analysis Instructions a) 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.) **Formulate the hypotheses:** - \( H_0: \mu_d \leq 0 \) - \( H_a: \mu_d > 0 \) OR - \( H_0: \mu_d = 0 \) - \( H_a: \mu_d \neq 0 \) Please mark the appropriate hypotheses: 1. ⬜ \( H_0: \mu_d = 0 \) ⬜ \( H_a: \mu_d \neq 0 \) 2. ⬜ \( H_0: \mu_d \geq 0 \) ⬜ \( H_a: \mu_d < 0 \) 3. ⬜ \( H_0: \mu_d \leq 0 \) ⬜ \( H_a: \mu_d > 0 \) 4. ⬜ \( H_0: \mu_d = 0 \) ⬜ \( H_a: \mu_d > 0 \) **Calculate the test statistic:** (Round your answer to three decimal places.) \[ \text{
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