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An editorial company wants to determine whether the lighting in its office affects the average productivity (in number of edited pages per week) of its editors. Since productivity may vary across editors, the firm measures the productivity of five editors experiencing four lighting levels: 800, 1,000, 1,200, and 1,400 lux. The results of the experiment are presented in the data table that follows. Use the Friedman test to decide whether to reject the null hypothesis that there are no differences between conditions, meaning the ranks of the productivity levels are the same across the four lighting levels. Assign ranks such that the smallest of the productivity levels gets a rank of 1. Notice for employee A, the rank of the data value is in parentheses next to the data value. Complete the table by selecting the rank of the data value for employees B through E. Employee A 800 lux Productivity Rate of Editors Experiencing the Lighting Levels 1,000 lux 513 (2) 510 (1) B 479 ( ▼ ) 528 ( ▼ ) 1,200 lux 525 (4) 468 ( ▼ ) 1,400 lux 522 (3) 570 ( ▼ ) с 525 ( ▼ ) 555 ( ▼ ) 425 ( ▼ ) 500 ( ▼ ) D 563 ( ▼ ) 618 ( ▼ ) E 585 ( ▼ ) 624 ( 399 ( ▼ ) 435 ( 539 ( ▼ ) ) ) 606 ( • The sum of the ranks for 800 lux is • The sum of the ranks for 1,000 lux is • The sum of the ranks for 1,200 lux is • The sum of the ranks for 1,400 lux is The test statistic for the Friedman test is Fr Use the Distributions tool to answer the questions that follow. F Distribution Numerator Degrees of Freedom 20 Denominator Degrees of Freedom = 20 о ^ ^ ^ 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 x With a = 0.01, the critical value is Therefore, you the null hypothesis and conclude that lighting affects productivity.

An editorial company wants to determine whether the lighting in its office affects the average productivity (in number of edited pages per week) of its editors. Since productivity may vary across editors, the firm measures the productivity of five editors experiencing four lighting levels: 800, 1,000, 1,200, and 1,400 lux. The results of the experiment are presented in the data table that follows. Use the Friedman test to decide whether to reject the null hypothesis that there are no differences between conditions, meaning the ranks of the productivity levels are the same across the four lighting levels. Assign ranks such that the smallest of the productivity levels gets a rank of 1. Notice for employee A, the rank of the data value is in parentheses next to the data value. Complete the table by selecting the rank of the data value for employees B through E. Employee A 800 lux Productivity Rate of Editors Experiencing the Lighting Levels 1,000 lux 513 (2) 510 (1) B 479 ( ▼ ) 528 ( ▼ ) 1,200 lux 525 (4) 468 ( ▼ ) 1,400 lux 522 (3) 570 ( ▼ ) с 525 ( ▼ ) 555 ( ▼ ) 425 ( ▼ ) 500 ( ▼ ) D 563 ( ▼ ) 618 ( ▼ ) E 585 ( ▼ ) 624 ( 399 ( ▼ ) 435 ( 539 ( ▼ ) ) ) 606 ( • The sum of the ranks for 800 lux is • The sum of the ranks for 1,000 lux is • The sum of the ranks for 1,200 lux is • The sum of the ranks for 1,400 lux is The test statistic for the Friedman test is Fr Use the Distributions tool to answer the questions that follow. F Distribution Numerator Degrees of Freedom 20 Denominator Degrees of Freedom = 20 о ^ ^ ^ 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 x With a = 0.01, the critical value is Therefore, you the null hypothesis and conclude that lighting affects productivity.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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An editorial company wants to determine whether the lighting in its office affects the average productivity (in number of edited pages per week) of its editors. Since productivity may vary across editors, the firm measures the productivity of five editors experiencing four lighting levels: 800, 1,000, 1,200, and 1,400 lux. The results of the experiment are presented in the data table that follows. Use the Friedman test to decide whether to reject the null hypothesis that there are no differences between conditions, meaning the ranks of the productivity levels are the same across the four lighting levels. Assign ranks such that the smallest of the productivity levels gets a rank of 1. Notice for employee A, the rank of the data value is in parentheses next to the data value. Complete the table by selecting the rank of the data value for employees B through E. Employee A 800 lux Productivity Rate of Editors Experiencing the Lighting Levels 1,000 lux 513 (2) 510 (1) B 479 ( ▼ ) 528 ( ▼ ) 1,200 lux 525 (4) 468 ( ▼ ) 1,400 lux 522 (3) 570 ( ▼ ) с 525 ( ▼ ) 555 ( ▼ ) 425 ( ▼ ) 500 ( ▼ ) D 563 ( ▼ ) 618 ( ▼ ) E 585 ( ▼ ) 624 ( 399 ( ▼ ) 435 ( 539 ( ▼ ) ) ) 606 ( • The sum of the ranks for 800 lux is • The sum of the ranks for 1,000 lux is • The sum of the ranks for 1,200 lux is • The sum of the ranks for 1,400 lux is The test statistic for the Friedman test is Fr Use the Distributions tool to answer the questions that follow. F Distribution Numerator Degrees of Freedom 20 Denominator Degrees of Freedom = 20 о ^ ^ ^ 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 x With a = 0.01, the critical value is Therefore, you the null hypothesis and conclude that lighting affects productivity.
Transcribed Image Text:An editorial company wants to determine whether the lighting in its office affects the average productivity (in number of edited pages per week) of its editors. Since productivity may vary across editors, the firm measures the productivity of five editors experiencing four lighting levels: 800, 1,000, 1,200, and 1,400 lux. The results of the experiment are presented in the data table that follows. Use the Friedman test to decide whether to reject the null hypothesis that there are no differences between conditions, meaning the ranks of the productivity levels are the same across the four lighting levels. Assign ranks such that the smallest of the productivity levels gets a rank of 1. Notice for employee A, the rank of the data value is in parentheses next to the data value. Complete the table by selecting the rank of the data value for employees B through E. Employee A 800 lux Productivity Rate of Editors Experiencing the Lighting Levels 1,000 lux 513 (2) 510 (1) B 479 ( ▼ ) 528 ( ▼ ) 1,200 lux 525 (4) 468 ( ▼ ) 1,400 lux 522 (3) 570 ( ▼ ) с 525 ( ▼ ) 555 ( ▼ ) 425 ( ▼ ) 500 ( ▼ ) D 563 ( ▼ ) 618 ( ▼ ) E 585 ( ▼ ) 624 ( 399 ( ▼ ) 435 ( 539 ( ▼ ) ) ) 606 ( • The sum of the ranks for 800 lux is • The sum of the ranks for 1,000 lux is • The sum of the ranks for 1,200 lux is • The sum of the ranks for 1,400 lux is The test statistic for the Friedman test is Fr Use the Distributions tool to answer the questions that follow. F Distribution Numerator Degrees of Freedom 20 Denominator Degrees of Freedom = 20 о ^ ^ ^ 0.00 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 x With a = 0.01, the critical value is Therefore, you the null hypothesis and conclude that lighting affects productivity.
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