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3. The following table is a cross-tabulation of home ownership and location of residence. Own home Do not own home Urban 31 59 Rural 29

3. The following table is a cross-tabulation of home ownership and location of residence.

Own home Do not own home
Urban 31 59
Rural 29 41

Conduct a hypothesis test to determine if home ownership and location of residence are independent random variables. Use a 5% level of significance.

4. You have the following random sample of the number of daily calls to police stations in the cities of Baltimore, Washington DC, and Pittsburgh.

Baltimore Washington DC Pittsburgh
862 555 755
766 664 763
608 610 802
911 709 712
980 612 765
888 589 679
812 649 789
678 700 714
765 707 599
709 579 671
808 622 683

  1. Test the hypothesis that the mean number of daily calls differs across the three cities. The total sum of squares (SST) is equal to 330,463.64. Use a 5% level of significance.

  1. What is the difference between ANOVA with two categories and a two-sample t-test for differences in means?

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