Quiz: Quiz 1( 1, 2, 3, 5, 6, 7): Timed and Due Feb 4 Tine Remaining This Questio
ID: 3039968 • Letter: Q
Question
Quiz: Quiz 1( 1, 2, 3, 5, 6, 7): Timed and Due Feb 4 Tine Remaining This Question: 4 pts 11 of 25 (0 complete) This Quiz: 100 pts possible Question Help * Walting times (n minutes) of customers at a bank where all customers enter a single waiting ine and a bank where customers wait in individual lines at three different teller windows are listed below Find the coefficient of variation for each of the two sets of data, then compare the variation Bank A (single line) 64 67 67 68 71 7.3 7.4 76 76 77 Bank B (ndividual lines) 42 54 59 63 67 76 76 84 93 96 The coeficient of variation for the waiting times at Bank A is % Round to one decimal place as needed.) Atten The coefficient of variation for the waiting times at the Bank B is Round to one decimal place as needed) ls there a difference in variation between the two data sets? O A. There is no significant difference in the variations O B. The waiting times at Bank A have considerably less variation than the waiting times at Bank B O C. The waiting times at Bank B have considerably less variation than the waiting times at Bank A 20min Click to select your answer(s) O Type hete to search 0Explanation / Answer
Solution:
From the given Bank A data
6.4, 6.7, 6.7, 6.8, 7.1, 7.3, 7.4, 7.6, 7.6, 7.7
Mean = 7.13
Standard Deviation = 0.4571
Coefficient of Variance = /µ
= 0.4571 / 7.13
= 0.0641
The coefficient of variation for the waiting times at Bank A is 6.41%
now, From the given Bank B data
4.2, 5.4, 5.9, 6.3, 6.7, 7.6, 7.6, 8.4, 9.3, 9.6
Mean = 7.1
Standard Deviation = 1.7262
Coefficient of Variance = /µ
= 1.7262 / 7.1
= 0.2431
The coefficient of variation for the waiting times at Bank B is 24.31%
difference in variation between the two data sets is
B. The waiting times at Bank A have considerably less variation than the waiting times at Bank B
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.