USE THE INFORMATION BELOW TO ANSWER QUESTIONS 4 THRU 6 A large world-wide internet company was interested in equal rights for its employees with respect to the number of hours of paid leave, or time off. The argument from employees without children designated as Group A is that they are not given the same allowances and paid leave as employees with children designated as Group B. In 2020, this company allowed up to 40 extra hours of paid leave to Group B employees and the company wondered if it should also offer more hours of paid leave to the employees in Group A. After accumulating the leave reports from 2020, detailing the annual amount of paid leave taken by a random sample of size 25 from Group A and a random sample of size 20 from Group B, a confidence interval was computed for the mean difference in the annual amount of paid leave by Group A minus the annual amount of paid leave by Group B. Assume that independent random samples were taken from populations that were normally distributed and that the populations have equal variances. 4. Choose the best answer below concerning the confidence interval for the difference between the annual amount of paid leave by Group A minus the annual amount of paid leave by Group B. b) (A-P): a) (x₁-x₂)±₁ n₂ n₂ c) (X, – X,₂) ± ¹, ($ (-- + -) d) (x₂-x₂) ±t a) 1.88 b) 1.77 c) 1.68 d) 1.96 A(1- A) P:(1-P) n₂ n₁ SS + M M₂ 5. Assuming that the confidence coefficient is 90%, then choose from the following concerning the z- value or t-value that would be used in the interval. 6. Suppose a 94% confidence interval was computed for the mean difference in the annual amount of paid leave by Group A minus the annual amount of paid leave by Group B turned out to be: (-32 hours, -5 hours). Based on this interval, choose the most appropriate conclusion for the confidence interval. a) We are 94% confident that the true mean annual amount of paid leave by Group A is greater than the true mean annual amount of paid leave by Group B. b) We are 94% confident that the true mean annual amount of paid leave by Group A is less than the true mean annual amount of paid leave by Group B. c) We are 94% confident that there is no statistically significant difference between the true mean annual amount of paid leave by Group A and the true mean annual amount of paid leave by Group B.
USE THE INFORMATION BELOW TO ANSWER QUESTIONS 4 THRU 6 A large world-wide internet company was interested in equal rights for its employees with respect to the number of hours of paid leave, or time off. The argument from employees without children designated as Group A is that they are not given the same allowances and paid leave as employees with children designated as Group B. In 2020, this company allowed up to 40 extra hours of paid leave to Group B employees and the company wondered if it should also offer more hours of paid leave to the employees in Group A. After accumulating the leave reports from 2020, detailing the annual amount of paid leave taken by a random sample of size 25 from Group A and a random sample of size 20 from Group B, a confidence interval was computed for the mean difference in the annual amount of paid leave by Group A minus the annual amount of paid leave by Group B. Assume that independent random samples were taken from populations that were normally distributed and that the populations have equal variances. 4. Choose the best answer below concerning the confidence interval for the difference between the annual amount of paid leave by Group A minus the annual amount of paid leave by Group B. b) (A-P): a) (x₁-x₂)±₁ n₂ n₂ c) (X, – X,₂) ± ¹, ($ (-- + -) d) (x₂-x₂) ±t a) 1.88 b) 1.77 c) 1.68 d) 1.96 A(1- A) P:(1-P) n₂ n₁ SS + M M₂ 5. Assuming that the confidence coefficient is 90%, then choose from the following concerning the z- value or t-value that would be used in the interval. 6. Suppose a 94% confidence interval was computed for the mean difference in the annual amount of paid leave by Group A minus the annual amount of paid leave by Group B turned out to be: (-32 hours, -5 hours). Based on this interval, choose the most appropriate conclusion for the confidence interval. a) We are 94% confident that the true mean annual amount of paid leave by Group A is greater than the true mean annual amount of paid leave by Group B. b) We are 94% confident that the true mean annual amount of paid leave by Group A is less than the true mean annual amount of paid leave by Group B. c) We are 94% confident that there is no statistically significant difference between the true mean annual amount of paid leave by Group A and the true mean annual amount of paid leave by Group B.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:USE THE INFORMATION BELOW TO ANSWER QUESTIONS 4 THRU 6
A large world-wide internet company was interested in equal rights for its employees with respect to
the number of hours of paid leave, or time off. The argument from employees without children
designated as Group A is that they are not given the same allowances and paid leave as employees
with children designated as Group B. In 2020, this company allowed up to 40 extra hours of paid
leave to Group B employees and the company wondered if it should also offer more hours of paid
leave to the employees in Group A. After accumulating the leave reports from 2020, detailing the
annual amount of paid leave taken by a random sample of size 25 from Group A and a random
sample of size 20 from Group B, a confidence interval was computed for the mean difference in the
annual amount of paid leave by Group A minus the annual amount of paid leave by Group B.
Assume that independent random samples were taken from populations that were normally
distributed and that the populations have equal variances.
4. Choose the best answer below concerning the confidence interval for the difference between the
annual amount of paid leave by Group A minus the annual amount of paid leave by Group B.
a) (x₁ - x₂)±²₁
n₂ n₂
1
C) (x₁ - 5₂ ) ± ¹ √ S² - 1 + 1 )
(
b) (P₁-P₂) ==
a) 1.88
b) 1.77
c) 1.68
d) 1.96
d) (x₂-x₂) ±¹₁
P.(1-P) P₂(1-P₂)
n₂
n₂
S² S
n₂ 1₂
+
5. Assuming that the confidence coefficient is 90%, then choose from the following concerning the z-
value or t-value that would be used in the interval.
6. Suppose a 94% confidence interval was computed for the mean difference in the annual amount of
paid leave by Group A minus the annual amount of paid leave by Group B turned out to be: (-32
hours, -5 hours).
Based on this interval, choose the most appropriate conclusion for the confidence interval.
a) We are 94% confident that the true mean annual amount of paid leave by Group A is
greater than the true mean annual amount of paid leave by Group B.
b) We are 94% confident that the true mean annual amount of paid leave by Group A is less
than the true mean annual amount of paid leave by Group B.
c) We are 94% confident that there is no statistically significant difference between
the true mean annual amount of paid leave by Group A and the true mean annual amount of
paid leave by Group B.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 8 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman