Suppose you want to evaluate if there is a difference in population mean ages for Titanic passengers in 1s* class versus 3rd class. Since you do not have time to research the ages for all 32 1st passengers and all 706 3rd class passenger, you decide to use simple random sampling to sele 16 1st class passengers and 35 3rd class passengers. You research the ages for the two samples a summarize your data below: Statistics Variable N Mean SE Mean StDev 1stclassAges 16 35.875 4.282 17.126 3rdClassAges 35 25.229 1.478 8.742 a. Estimate the population mean age difference for 1st class versus 3rd class passengers, with a bound on the error of estimation. b. Is there evidence that the mean age of 1st class passengers is significantly different from the mean age of 3rd class passengers? Explain your answer using your results above.

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Suppose you want to evaluate if there is a difference in population mean ages for Titanic
passengers in 1s* class versus 3rd class. Since you do not have time to research the ages for all 32
1st passengers and all 706 3rd class passenger, you decide to use simple random sampling to sele
16 1st class passengers and 35 3rd class passengers. You research the ages for the two samples a
summarize your data below:
Statistics
Variable
N
Mean SE Mean
StDev
1stclassAges
16
35.875
4.282 17.126
3rdClassAges 35 25.229
1.478
8.742
a. Estimate the population mean age difference for 1st class versus 3rd class passengers, with a
bound on the error of estimation.
b. Is there evidence that the mean age of 1st class passengers is significantly different from the
mean age of 3rd class passengers? Explain your answer using your results above.
Transcribed Image Text:Suppose you want to evaluate if there is a difference in population mean ages for Titanic passengers in 1s* class versus 3rd class. Since you do not have time to research the ages for all 32 1st passengers and all 706 3rd class passenger, you decide to use simple random sampling to sele 16 1st class passengers and 35 3rd class passengers. You research the ages for the two samples a summarize your data below: Statistics Variable N Mean SE Mean StDev 1stclassAges 16 35.875 4.282 17.126 3rdClassAges 35 25.229 1.478 8.742 a. Estimate the population mean age difference for 1st class versus 3rd class passengers, with a bound on the error of estimation. b. Is there evidence that the mean age of 1st class passengers is significantly different from the mean age of 3rd class passengers? Explain your answer using your results above.
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