Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 122 whites surveyed, the mean life span was 48.8 years with a standard deviation of 11.8 years and of the 92 nonwhites, the mean life span was 40.5 years with a standard deviation of 15.8 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:Is it safe to assume thatnw≤5%nw≤5% of all white people born in 1900 andnnw≤5%nnw≤5% of all nonwhite people born in 1900?NoYesIs nw≥30nw≥30 and nnw≥30nnw≥30 ?YesNo Test the claim:Determine the null and alternative hypotheses. H0H0: μw ? μnwHaHa: μw ? μnwDetermine the test statistic. Round to four decimal places.t=Find the pp-value. Round to 4 decimals.pp-value = Make a decision.Reject the null hypothesis.Fail to reject the null hypothesis.Write the conclusion.There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans.There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans.

For Sample 1 x̄1 = 48.8 s1 = 11.8 n1 = 122 For Sample 2 x̄2 = 40.5…

Answered: Suppose a survey of randomly selected…

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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Question

Suppose a survey of randomly selected death records for white and nonwhite people born in 1900 from a certain county is conducted. Of the 122 whites surveyed, the mean life span was 48.8 years with a standard deviation of 11.8 years and of the 92 nonwhites, the mean life span was 40.5 years with a standard deviation of 15.8 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:

Is it safe to assume that

nw≤5%nw≤5% of all white people born in 1900 and
nnw≤5%nnw≤5% of all nonwhite people born in 1900?
- No
- Yes
Is nw≥30nw≥30 and nnw≥30nnw≥30 ?
- Yes
- No

Test the claim:

Determine the null and alternative hypotheses.

H0H0: μw ? μnw
HaHa: μw ? μnw
Determine the test statistic. Round to four decimal places.
t=
Find the pp-value. Round to 4 decimals.
pp-value =
Make a decision.
- Reject the null hypothesis.
- Fail to reject the null hypothesis.
Write the conclusion.
- There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans.
- There is sufficient evidence to support the claim that whites and nonwhites have different mean life spans.