Thirty-four small communities in Connecticut (population near 10,000 each) gave an average of x = 138.3 reported cases of larceny per year. Assume that o is known to be 43.3 cases per year. (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit 126.1 upper limit 150.5 margin of error 12.2 (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit 82.8 upper limit 193.7 margin of error 55.4 (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit 119.2 upper limit 157.4 margin of error 19.1 (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase? O As the confidence level increases, the margin of error increases. O As the confidence level increases, the margin of error decreases. O As the confidence level increases, the margin of error remains the same. (e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length? O As the confidence level increases, the confidence interval remains the same length. O As the confidence level increases, the confidence interval decreases in length. O As the confidence level increases, the confidence interval increases in length.
Thirty-four small communities in Connecticut (population near 10,000 each) gave an average of x = 138.3 reported cases of larceny per year. Assume that o is known to be 43.3 cases per year. (a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit 126.1 upper limit 150.5 margin of error 12.2 (b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit 82.8 upper limit 193.7 margin of error 55.4 (c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.) lower limit 119.2 upper limit 157.4 margin of error 19.1 (d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase? O As the confidence level increases, the margin of error increases. O As the confidence level increases, the margin of error decreases. O As the confidence level increases, the margin of error remains the same. (e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length? O As the confidence level increases, the confidence interval remains the same length. O As the confidence level increases, the confidence interval decreases in length. O As the confidence level increases, the confidence interval increases in length.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Concept explainers
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Topic Video
Question
I just need answers for part b) but if you can answer them all step by step will be appreciated. :)
Transcribed Image Text:Thirty-four small communities in Connecticut (population near 10,000 each) gave an average of x = 138.3 reported cases of larceny per year. Assume that o is known to be 43.3 cases per year.
(a) Find a 90% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
lower limit
126.1
upper limit
150.5
margin of error
12.2
(b) Find a 95% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
lower limit
82.8
upper limit
193.7
margin of error
55.4
(c) Find a 99% confidence interval for the population mean annual number of reported larceny cases in such communities. What is the margin of error? (Round your answers to one decimal place.)
lower limit
119.2
upper limit
157.4
margin of error
19.1
(d) Compare the margins of error for parts (a) through (c). As the confidence levels increase, do the margins of error increase?
O As the confidence level increases, the margin of error increases.
O As the confidence level increases, the margin of error decreases.
As the confidence level increases, the margin of error remains the same.
(e) Compare the lengths of the confidence intervals for parts (a) through (c). As the confidence levels increase, do the confidence intervals increase in length?
O As the confidence level increases, the confidence interval remains the same length.
As the confidence level increases, the confidence interval decreases in length.
O As the confidence level increases, the confidence interval increases in length.
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 3 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
