For #22 - #27: The following are measurements of the heat-producing capacity (in millions of calories per ton) of random samples of five specimens each of coal from two mines: Mine 1: 8380 8210 8360 7840 7910 Mine 2: 7540 7720 7750 8100 7690 Below are the EXCEL outputs of the data at 95% confidence level: t-Test: Paired Two Sample for Means t-Test: Two-Sample Assuming Equal Vari MINE 1 MINE 2 MINE 1 MINE 2 Mean 8140 7760 Mean 8140 7760 Variance 63450 42650 Variance 63450 42650 Observations Observations 5 5 Pearson Correlation -0 69059 Pooled Variance 53050 Hypothesized Mean Hypothesized Me 0 Stat 2.014279 t Stat 2.608621 PIT > O B. Hoill -12 = 0 vs HA: /1 -12 = 0 C. Holli - H2 = 0 vs HA: HI - H2= 0 D. Holly 12 2 0 vs HA: /1 - 12 2 0 24. From the given results above, which test is appropriate to test the significant difference between the heat-producing capacities of the coal from the mines? A. t-Test: Paired Two Sample for Means/ Dependent B. t- Test: Two-Sample Assuming Equal Variances/ Independent C. ANOVA D. Z- test 25. What is the t- critical value? A. 2.131647 B. 2.7 76445 C. 1,359548038 D. 2.306004 26. What is the p-value? A. 0.05712 B. 0.1 1484 C. 10.015 598 D. 0.03119727. At a = 0.05, what is the correct decision? A. Do not reject the null hypothesis. B. Reject the alternative hypothesis. C. Reject the null hypothesis. D. Do not reject the alternative hypothesis. For #28 - #3 0 ANOVA Source of Variation SS Between Groups 419 5627 Within Groups 769 8667 Total 28. What is the appropriate null hypothesis for this test? A. HO: H1 = #2 - 13 - #4 B. Ho: = #2 - #3 C. Ho:1 = #2 D. Ho: 1 = HE 29. What is the sample size for this daral A. three B. Fourteen C. seventeenSource of Variation MS P-value Between Groups 419.6627 209.8314 3.815777 0.047564 Within Groups 769.8667 14 54.99048 Total 1189.529 16 28. What is the appropriate null hypothesis for this test? A. Ho: H1 = H2 = H3 = H4 B. Ho: H1 = #2 = #3 C. Ho: H1 = H2 D. HO: H1 # #2 29. What is the sample size for this data? A. three B. Fourteen C. seventeen D. sixteen 30. Given the Excel output, what can you conclude about the null hypothesis at 99% confidence level? A. Do not reject the null hypothesis. B. Reject the alternative hypothesis. C. Reject the null hypothesis. D. Do not reject the alternative hypothesis