Samples of 100 8-hour shifts were randomly selected from the police records for each of two đistricts in a large city. The number of police emergency calls was recorded for each shift. The sample statistics are listed below. Region 1 Sample Size 100 100 Sample Mean 2.7 3.6 Sample Variance 1.84 2.64 Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. (Use u, - Hg. Round your answers to two decimal places.) calls per shift to calls per shift Interpret the interval. O In repeated sampling, 10% of all intervals constructed in this manner will enclose the difference in the population mean number of police emergency calls per 8-hour shift between region 1 and region 2. Hence, we are fairly certain that this particular interval contains a difference in the population means from region 1 and region 2. O In repeated sampling, 90% of all intervals constructed in this manner will enclose the difference in the population mean number of police emergency calls per 8-hour shift between region 1 and region 2. Hence, we are fairly certain that this particular interval contains a difference in the population means from region 1 and region 2. O There is a 90% chance that for any two samples, one sample from region 1 and one sample from region 1, the difference between sample mean number of police emergency calls per 8-hour shift will fall within the interval. Hence, we are fairly certain that this particular interval contains a difference in the sample means from region 1 and region 2. O 90% of all values from the populations in region 1 and region 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains a difference in the sample means from region 1 and region 2. You may need to use the appropriate appendix table or technology to answer 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
Question

Samples of 100 8-hour shifts were randomly selected from the police records for each of two districts in a large city. The number of police emergency calls was recorded for each shift. The sample statistics are listed below.
Region
2.
Sample Size
100
100
Sample Mean
2.7
3.6
Sample Variance
1.84 2.64
Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. (Use u, - µ,. Round your answers to two decimal places.)
calls per shift to
calls per shift
Interpret the interval.
O In repeated sampling, 10% of all intervals constructed in this manner will enclose the difference in the population mean number of police emergency calls per 8-hour shift between region 1 and region 2. Hence, we are fairly certain that this particular interval
contains a difference in the population means from region 1 and region 2.
O In repeated sampling, 90% of all intervals constructed in this manner will enclose the difference in the population mean number of police emergency calls per 8-hour shift between region 1 and region 2. Hence, we are fairly certain that this particular interval
contains a difference in the population means from region 1 and region 2.
O There is a 90% chance that for any two samples, one sample from region 1 and one sample from region 1, the difference between sample mean number of police emergency calls per 8-hour shift will fall within the interval. Hence, we are fairly certain that this
particular interval contains a difference in the sample means from region 1 and region 2.
O 90% of all values from the populations in region 1 and region 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains a difference in the sample means from region 1 and region 2.
You may need to use the appropriate appendix table or technology to answer this question.
Transcribed Image Text:Samples of 100 8-hour shifts were randomly selected from the police records for each of two districts in a large city. The number of police emergency calls was recorded for each shift. The sample statistics are listed below. Region 2. Sample Size 100 100 Sample Mean 2.7 3.6 Sample Variance 1.84 2.64 Find a 90% confidence interval for the difference in the mean numbers of police emergency calls per shift between the two districts of the city. (Use u, - µ,. Round your answers to two decimal places.) calls per shift to calls per shift Interpret the interval. O In repeated sampling, 10% of all intervals constructed in this manner will enclose the difference in the population mean number of police emergency calls per 8-hour shift between region 1 and region 2. Hence, we are fairly certain that this particular interval contains a difference in the population means from region 1 and region 2. O In repeated sampling, 90% of all intervals constructed in this manner will enclose the difference in the population mean number of police emergency calls per 8-hour shift between region 1 and region 2. Hence, we are fairly certain that this particular interval contains a difference in the population means from region 1 and region 2. O There is a 90% chance that for any two samples, one sample from region 1 and one sample from region 1, the difference between sample mean number of police emergency calls per 8-hour shift will fall within the interval. Hence, we are fairly certain that this particular interval contains a difference in the sample means from region 1 and region 2. O 90% of all values from the populations in region 1 and region 2 will fall within the interval. Hence, we are fairly certain that this particular interval contains a difference in the sample means from region 1 and region 2. You may need to use the appropriate appendix table or technology to answer this question.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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