Cell phones have become an essential part of our everyday lives. We use them for communication, photography, browsing, and banking, among other things. Choosing the right cell phone is important, and is based on several factors, including weight. Suppose the weight of a cell phone is distributed normally with a known population standard deviation of 18 g. A random sample of 15 cell phones was conducted to calculate a sample mean weight of 155.7 g. Construct a 95% confidence interval for the population mean weight, mu. Choose the correct answer below based on constructing this interval (it may be a good idea to write your final interval down, as the next question may relate to this one). Hint: although the sample size is small, you may use the standard normal distribution, as the population standard deviation is known. Hint: we cover this in the video "CI 2020 2" a. the interval is [146.59, 164.81); the critical value used is 1.96 O a) O b) 18 b. the interval is (146.59, 164.81] ; the margin of error is (1.96 * ViS c) c. the interval is (146.59, 164.81]; the margin of error is (1.645 ) 18 d) d. the interval is [137.70, 173.70] ; the margin of error is (1.96 ) O e) e. both a and b are correct

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Cell phones have become an essential part of our everyday lives. We use them for communication,
photography, browsing, and banking, among other things. Choosing the right cell phone is important, and is
based on several factors, including weight. Suppose the weight of a cell phone is distributed normally with
a known population standard deviation of 18 g. A random sample of 15 cell phones was conducted to
calculate a sample mean weight of 155.7 g. Construct a 95% confidence interval for the population mean
weight, mu. Choose the correct answer below based on constructing this interval (it may be a good idea to
write your final interval down, as the next question may relate to this one).
Hint: although the sample size is small, you may use the standard normal distribution, as the population
standard deviation is known.
Hint: we cover this in the video "CI 2020 2"
a. the interval is [146.59, 164.81); the critical value used is 1.96
O a)
O b)
b. the interval is (146.59, 164.81] ; the margin of error is (1.96 *)
ViS
c)
c. the interval is [146.59, 164.81]; the margin of error is (1.645 )
18
d)
d. the interval is [137.70, 173.70] ; the margin of error is (1.96 )
e) e. both a and b are correct
Transcribed Image Text:Cell phones have become an essential part of our everyday lives. We use them for communication, photography, browsing, and banking, among other things. Choosing the right cell phone is important, and is based on several factors, including weight. Suppose the weight of a cell phone is distributed normally with a known population standard deviation of 18 g. A random sample of 15 cell phones was conducted to calculate a sample mean weight of 155.7 g. Construct a 95% confidence interval for the population mean weight, mu. Choose the correct answer below based on constructing this interval (it may be a good idea to write your final interval down, as the next question may relate to this one). Hint: although the sample size is small, you may use the standard normal distribution, as the population standard deviation is known. Hint: we cover this in the video "CI 2020 2" a. the interval is [146.59, 164.81); the critical value used is 1.96 O a) O b) b. the interval is (146.59, 164.81] ; the margin of error is (1.96 *) ViS c) c. the interval is [146.59, 164.81]; the margin of error is (1.645 ) 18 d) d. the interval is [137.70, 173.70] ; the margin of error is (1.96 ) e) e. both a and b are correct
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Standard Deviation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education