Math Problem Statement

A Providence Hospital experiment involves two different waiting line configurations for patients arriving for admission. The waiting times​ (in seconds) are recorded with a single line configuration that feeds four stations and another configuration with individual lines at the four stations. Find the coefficient of variation for each of the two​ samples, and then compare the variation. LOADING... Click the icon to view the waiting time data. Question content area bottom Part 1 Find the coefficient of variation of the single line data set. enter your response here​% ​(Type an integer or a decimal rounded to one decimal place as​ needed.) Part 2 Find the coefficient of variation of the individual lines data set. enter your response here​% ​(Type an integer or a decimal rounded to one decimal place as​ needed.) Part 3 Compare the variation. Choose the correct answer below. A. The variation of the individual lines is much larger than the variation of the single line because its CV is larger than the CV for the single line data set. B. The variation of the single line is much larger than the variation of the individual lines because its CV is larger than the CV for the single line data set. C. The variation is roughly about the same because the two values of CV are approximately equal. D. It is impossible to compare the variation with the information given. Single Line 388 394 400 408 426 438 443 462 462 462

Individual Lines 250 322 348 373 400 463 463 509 556 599

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Coefficient of Variation
Mean
Standard Deviation

Formulas

Coefficient of Variation (CV) = (Standard Deviation / Mean) * 100

Theorems

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Suitable Grade Level

Grades 11-12