QMB 2100 Project 4 DATA Set: Indicate one: Automobiles Homes Apartments 1. Directions: Fill in the answer to the questions posed below. Attach the specified printouts where indicated and upload the project in Canvas on or before midnight on April 21st. Please give specific interpretations as generic answers will not receive full credit. Use Statistix to compare the mean sizes/mileages for levels 1 and 2 of your qualitative variable. In Statistix, you will need to omit all level 3 observations in your data set to create this printout. Conduct the printout for a two-tailed test in Statistix. Attach the printout here and answer the following questions. Two-Sample T Tests for Size by Location Location N Mean SD SE 1 25 1649.1 948.09 189.62 2 26 1540.0 474.08 92.974 Difference 109.08 744.94 208.66 T-Tests for Mean Difference Null Hypothesis: difference = 0 Alternative Hyp: difference #0 Lower Upper Method Pooled Variances Equal DF T 49. 0.52 Satterthwaite Unequal P 95% C.I. 0.6035 -310.25 35.0 0.52 0.6087 -319.65 95% C.I. 528.41 537.82 DF F P Homogeneity of Variances Folded F Test (two-sided) 24,25 4.00 0.0010 Cases Included 51 Missing Cases 0 a. Which row on the printout, equal or unequal variances, would be the correct row to use to compare the two population means? (2 points) b. State the rejection region you would use if you wanted to conduct a two-tailed test. You choose alpha. (2 points) (Assume for this problem that you are working with 50 degrees of freedom - I know you are not, but that is the row I want you to use in the table). C. Use the confidence interval on the printout to make an inference about which of the two populations means is larger (in the words of the problem). Make sure to state your measure of reliability. (2 points) 2. Use Statistix to compare the variance of the prices for levels 1 and 2 of your qualitative variable. In Statistix, you will need to omit all level 3 observations in your data set to create this printout. Conduct the printout for a two-tailed test in Statistix. Attach the printout here and answer the following questions. Two-Sample T Tests for Price by Location Location N Mean SD SE 1 25 453116 304279 60856 2 26 331068 111431 21853 Difference 122047 227340 63680 T-Tests for Mean Difference Null Hypothesis: difference = 0 Alternative Hyp: difference #0 Lower Upper Method Pooled Variances Equal DF 49 T P 95% C.I. 1.92 0.0611 -5922.4 95% C.I. 250017 Satterthwaite Unequal. 30.1 1.89 0.0688 -9987.4 254082 Homogeneity of Variances DF F P 0.0000 Folded F Test (two-sided) 24,25 7.46 Cases Included 51 Missing Cases 0 a. b. C. State the appropriate hypotheses that you wish to test to conduct a two-tailed test to compare the population variances. (2 points) Ho: Ha: Identify the test statistic and p-value that you would use to conduct this test (2 points) Test Statistic: P-Value: State the conclusion in the words of the problem you would make for this test when testing at alpha = .10. (2 points)