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A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. 635 701 439 447 464 502 405 453 471 476 447 590 337 387 514

A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. 635 701 439 447 464 502 405 453 471 476 447 590 337 387 514

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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A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. The data is organized in a table with three rows and five columns, as follows: | 635 | 701 | 439 | 447 | 464 | |---|---|---|---|---| | 502 | 405 | 453 | 471 | 476 | | 447 | 590 | 337 | 387 | 514 | This table provides the scores of 15 students in the writing portion of the test. Each cell represents an individual student's score out of a possible 800 points.
Transcribed Image Text:A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. The data is organized in a table with three rows and five columns, as follows: | 635 | 701 | 439 | 447 | 464 | |---|---|---|---|---| | 502 | 405 | 453 | 471 | 476 | | 447 | 590 | 337 | 387 | 514 | This table provides the scores of 15 students in the writing portion of the test. Each cell represents an individual student's score out of a possible 800 points.
Find the value of the test statistic. \( T^+ = \) [ _________ ] Find the \( p \)-value. (Round your answer to four decimal places.) \( p \)-value = [ _________ ]
Transcribed Image Text:Find the value of the test statistic. \( T^+ = \) [ _________ ] Find the \( p \)-value. (Round your answer to four decimal places.) \( p \)-value = [ _________ ]
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test statistic and p value are still incorrect, please help me and show me steps, answer rounded

Find the value of the test statistic. \[ T^+ = \boxed{4} \] Find the p-value. (Round your answer to four decimal places.) \[ p\text{-value} = \boxed{0.1212} \] Using \(\alpha = 0.05\), what is your conclusion? - Do not reject \( H_0 \). There is sufficient evidence to conclude that the population median writing test score is not 510. - ○ Do not reject \( H_0 \). There is not sufficient evidence to conclude that the population median writing test score is not 510. - Reject \( H_0 \). There is sufficient evidence to conclude that the population median writing test score is not 510. - Reject \( H_0 \). There is not sufficient evidence to conclude that the population median writing test score is not 510. The second option is selected, indicating the correct conclusion: "Do not reject \( H_0 \). There is not sufficient evidence to conclude that the population median writing test score is not 510."
Transcribed Image Text:Find the value of the test statistic. \[ T^+ = \boxed{4} \] Find the p-value. (Round your answer to four decimal places.) \[ p\text{-value} = \boxed{0.1212} \] Using \(\alpha = 0.05\), what is your conclusion? - Do not reject \( H_0 \). There is sufficient evidence to conclude that the population median writing test score is not 510. - ○ Do not reject \( H_0 \). There is not sufficient evidence to conclude that the population median writing test score is not 510. - Reject \( H_0 \). There is sufficient evidence to conclude that the population median writing test score is not 510. - Reject \( H_0 \). There is not sufficient evidence to conclude that the population median writing test score is not 510. The second option is selected, indicating the correct conclusion: "Do not reject \( H_0 \). There is not sufficient evidence to conclude that the population median writing test score is not 510."
A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. Scores: - 635, 701, 439, 447, 464 - 502, 405, 453, 471, 476 - 447, 590, 337, 387, 514 **Hypotheses:** State the null and alternative hypotheses. - \( H_0 \): Median \( \neq \) 510 \( H_a \): Median = 510 - \( H_0 \): Median < 510 \( H_a \): Median = 510 - \( H_0 \): Median = 510 \( H_a \): Median \( \neq \) 510 (Correct choice, indicated with a checkmark) - \( H_0 \): Median ≥ 510 \( H_a \): Median < 510 - \( H_0 \): Median ≤ 510 \( H_a \): Median > 510 **Test Statistic:** Find the value of the test statistic. - \( T^+ = 4 \) (Incorrect, marked with a cross) **P-Value:** Find the p-value (round your answer to four decimal places). - p-value = 0.1212 (Incorrect, marked with a cross)
Transcribed Image Text:A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. Scores: - 635, 701, 439, 447, 464 - 502, 405, 453, 471, 476 - 447, 590, 337, 387, 514 **Hypotheses:** State the null and alternative hypotheses. - \( H_0 \): Median \( \neq \) 510 \( H_a \): Median = 510 - \( H_0 \): Median < 510 \( H_a \): Median = 510 - \( H_0 \): Median = 510 \( H_a \): Median \( \neq \) 510 (Correct choice, indicated with a checkmark) - \( H_0 \): Median ≥ 510 \( H_a \): Median < 510 - \( H_0 \): Median ≤ 510 \( H_a \): Median > 510 **Test Statistic:** Find the value of the test statistic. - \( T^+ = 4 \) (Incorrect, marked with a cross) **P-Value:** Find the p-value (round your answer to four decimal places). - p-value = 0.1212 (Incorrect, marked with a cross)
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