3) A local bank has three branch offices. The bank has a liberal sick leave policy, and a vice- president was concerned with employees taking advantage of this policy. She thought that the tendency to take advantage depended on the branch at which the employee worked. To see if there were differences in the time employees took for sick leave, she asked each branch manager to sample employees randomly and record the number of days of sick leave taken during 2018. 15 employees were chosen, and the data are listed below. Branch 1 17 21 19 15 18 Branch 2 12 14 11 13 11 Branch 3 15 19 22 17 20 (a) Do this data indicate a difference in branches? Use 0.05 level of significance. (b) Find the p-value for the test in (a) using F table. Comment whether it leads to the same се. conclusion in (a). (c) Write down the type I error in context for this question.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
3) A local bank has three branch offices. The bank has a liberal sick leave policy, and a vice-
president was concerned with employees taking advantage of this policy. She thought that the
tendency to take advantage depended on the branch at which the employee worked. To see if
there were differences in the time employees took for sick leave, she asked each branch manager
to sample employees randomly and record the number of days of sick leave taken during 2018.
15 employees were chosen, and the data are listed below.
Branch 1
17 21 19 15 18
Branch 2
12 14 11 13 11
Branch 3
15 19 22 17 20
(a) Do this data indicate a difference in branches? Use 0.05 level of significance.
(b) Find the p-value for the test in (a) using F table. Comment whether it leads to the same
conclusion in (a).
(c) Write down the type I error in context for this question.
Transcribed Image Text:3) A local bank has three branch offices. The bank has a liberal sick leave policy, and a vice- president was concerned with employees taking advantage of this policy. She thought that the tendency to take advantage depended on the branch at which the employee worked. To see if there were differences in the time employees took for sick leave, she asked each branch manager to sample employees randomly and record the number of days of sick leave taken during 2018. 15 employees were chosen, and the data are listed below. Branch 1 17 21 19 15 18 Branch 2 12 14 11 13 11 Branch 3 15 19 22 17 20 (a) Do this data indicate a difference in branches? Use 0.05 level of significance. (b) Find the p-value for the test in (a) using F table. Comment whether it leads to the same conclusion in (a). (c) Write down the type I error in context for this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman