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 D) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 117 whites surveyed, the mean life span was 46.7 years with a standard deviation of 11.4 years and of the 86 nonwhites, the mean life span was 38.4 years with a standard deviation of 15.4 years. Conduct a hypothesis test at the 0.1 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 N, <5% of all white people born in 1900 and nu < 5% of all nonwhite people born in 1900? O Yes O No b. Is ny 2 30 and nny 2 30? O No OYes Test the claim: a. Determine the null and alternative hypotheses. Ho: Hu ? V Hnw H.: Hw ? V How b. Determine the test statistic. Round to four decimal places. t = c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans. O There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans.
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 D) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 117 whites surveyed, the mean life span was 46.7 years with a standard deviation of 11.4 years and of the 86 nonwhites, the mean life span was 38.4 years with a standard deviation of 15.4 years. Conduct a hypothesis test at the 0.1 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 N, <5% of all white people born in 1900 and nu < 5% of all nonwhite people born in 1900? O Yes O No b. Is ny 2 30 and nny 2 30? O No OYes Test the claim: a. Determine the null and alternative hypotheses. Ho: Hu ? V Hnw H.: Hw ? V How b. Determine the test statistic. Round to four decimal places. t = c. Find the p-value. Round to 4 decimals. p-value = d. Make a decision. O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans. O There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 D) Suppose a survey of randomly selected
death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 117
whites surveyed, the mean life span was 46.7 years with a standard deviation of 11.4 years and of the 86
nonwhites, the mean life span was 38.4 years with a standard deviation of 15.4 years. Conduct a hypothesis
test at the 0.1 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
N, < 5% of all white people born in 1900 and
Nnw 5% of all nonwhite people born in 1900?
O Yes
O No
b. Is n, 2 30 and nnw 30?
O No
O Yes
Test the claim:
a. Determine the null and alternative hypotheses.
Ho: Hu ? V
Ha: Hu? V Hnw
b. Determine the test statistic. Round to four decimal places.
t =
c. Find the p-value. Round to 4 decimals.
p-value =
d. Make a decision.
O Fail to reject the null hypothesis.
O Reject the null hypothesis.
e. Write the conclusion.
O There is not sufficient evidence to support the claim that whites and nonwhites have different
mean life spans.
O There is sufficient evidence to support the claim that whites and nonwhites have different
mean life spans.
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