A random sample of 1,500 Chinese Americans drawn from the population of a particular state has finished an average of 13.1 years of formal education, with a standard deviation of 2.1. We wonder if this is significantly different from the statewide average of 12.5 years. a) Evaluate assumptions if we can use a t-test and summarize parameters and statistics. b) State the null hypothesis (i.e., H0) and the working hypothesis (i.e., H1). c) Establish the critical region for t-distributions at α=0.05 with a two-tailed test. d) Compute the test statistics (i.e., tobtained) and the corresponding probability (i.e., pvalue). e) Make a decision and interpret test results
A random sample of 1,500 Chinese Americans drawn from the population of a particular state has finished an average of 13.1 years of formal education, with a standard deviation of 2.1. We wonder if this is significantly different from the statewide average of 12.5 years. a) Evaluate assumptions if we can use a t-test and summarize parameters and statistics. b) State the null hypothesis (i.e., H0) and the working hypothesis (i.e., H1). c) Establish the critical region for t-distributions at α=0.05 with a two-tailed test. d) Compute the test statistics (i.e., tobtained) and the corresponding probability (i.e., pvalue). e) Make a decision and interpret test results
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
Topic Video
Question
A random sample of 1,500 Chinese Americans drawn from the population of a particular state has finished an average of 13.1 years of formal education, with a standard deviation of 2.1. We wonder if this is significantly different from the statewide average of 12.5 years.
a) Evaluate assumptions if we can use a t-test and summarize parameters and statistics.
b) State the null hypothesis (i.e., H0) and the working hypothesis (i.e., H1). c) Establish the critical region for t-distributions at α=0.05 with a two-tailed test.
d) Compute the test statistics (i.e., tobtained) and the corresponding probability (i.e., pvalue).
e) Make a decision and interpret test results.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman