The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data ) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 124 whites surveyed, the mean life span was 46.9 years with a standard deviation of 12.4 years and of the 89 nonwhites, the mean life span was 36.2 years with a standard deviation of 15.3 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: a. Is it safe to assume that nw < 5 % of all white people born in 1900 and nnw < 5 % of all nonwhite people born in 1900? O No O Yes b. Is nw > 30 and nnw 2 30 ? No O Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: µw ? v Hnw Ha: Hw ? v lnw b. Determine the test statistic. Round to four decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for
whites and 33 years for nonwhites. (Click here for reference data ) Suppose a survey of randomly selected
death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 124
whites surveyed, the mean life span was 46.9 years with a standard deviation of 12.4 years and of the 89
nonwhites, the mean life span was 36.2 years with a standard deviation of 15.3 years. Conduct a hypothesis
test at the 0.05 level of significance to determine whether there was no difference in mean life spans in
the county for whites and nonwhites in year 1900.
Preliminary:
a. Is it safe to assume that
nw < 5 % of all white people born in 1900 and
nnw < 5 % of all nonwhite people born in 1900?
No
O Yes
b. Is nw 2 30 and nnw > 30 ?
No
O Yes
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Hw ? Mnw
Ha: Hw ? v Hnw
b. Determine the test statistic. Round to four decimal places.
t
Transcribed Image Text:The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 47.6 years for whites and 33 years for nonwhites. (Click here for reference data ) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 124 whites surveyed, the mean life span was 46.9 years with a standard deviation of 12.4 years and of the 89 nonwhites, the mean life span was 36.2 years with a standard deviation of 15.3 years. Conduct a hypothesis test at the 0.05 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: a. Is it safe to assume that nw < 5 % of all white people born in 1900 and nnw < 5 % of all nonwhite people born in 1900? No O Yes b. Is nw 2 30 and nnw > 30 ? No O Yes Test the claim: a. Determine the null and alternative hypotheses. Ho: Hw ? Mnw Ha: Hw ? v Hnw b. Determine the test statistic. Round to four decimal places. t
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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
  • SEE MORE QUESTIONS
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