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 113 whites surveyed, the mean life span was 46.3 years with a standard deviation of 11 years and of the 82 nonwhites, the mean life span was 38.7 years with a standard deviation of 15.7 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 nw 5% of all white people born in 1900 and nnw 5% of all nonwhite people born in 1900? Yes No b. Is nw 30 and nnw ≥ 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. Η: μω ? 3 μην Ηα: μω ? 3 μην 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. Fail to reject the null hypothesis. Reject the null hypothesis. e. Write the conclusion. There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans. There is not 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 ) Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 113 whites surveyed, the mean life span was 46.3 years with a standard deviation of 11 years and of the 82 nonwhites, the mean life span was 38.7 years with a standard deviation of 15.7 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 nw 5% of all white people born in 1900 and nnw 5% of all nonwhite people born in 1900? Yes No b. Is nw 30 and nnw ≥ 30? No Yes Test the claim: a. Determine the null and alternative hypotheses. Η: μω ? 3 μην Ηα: μω ? 3 μην 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. Fail to reject the null hypothesis. Reject the null hypothesis. e. Write the conclusion. There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans. There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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
) Suppose a survey of randomly selected death records for
white and nonwhite people born in 1900 from a certain
county is conducted. Of the 113 whites surveyed, the mean
life span was 46.3 years with a standard deviation of 11
years and of the 82 nonwhites, the mean life span was 38.7
years with a standard deviation of 15.7 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
nw
5% of all white people born in 1900 and
nnw 5% of all nonwhite people born in 1900?
Yes
No
b. Is nw 30 and nnw ≥ 30?
No
Yes
Test the claim:
a. Determine the null and alternative hypotheses.
Η: μω ? 3 μην
Ηα: μω ? 3 μην
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.
Fail to reject the null hypothesis.
Reject the null hypothesis.
e. Write the conclusion.
There is sufficient evidence to support the
claim that whites and nonwhites have different
mean life spans.
There is not sufficient evidence to support the
claim that whites and nonwhites have different
mean life spans.
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