Compute a one-way ANDVA on the following data. 1 2 27 22 31 27 31 2 5 29 23 30 26 27 27 28 23 Determine the observed F value. Compare it with the critical table F value and decide whether to reject the null hypothesis. Perform a ttest for independent measures on the data. [Round the quantitative answers to 2 decimal places, e.g. 1.75.} Observed F: | $1 the null hypothesis. Compare the t and F values.Are the results different? Use a: 0.05 Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking, and public transportation. Twenty randomly selected families in four major cities are asked to use their record to estimate a monthly figure for transportation cost. Use the data obtained and ANOVA to test whether there is a significant difference in monthly transportation costs for families living in these cities. Assume that a = 0.05. Edmonton Toronto Vancouver Halifax $650 $250 $850 $540 480 525 700 450 550 300 950 675 600 175 780 550 675 500 600 600 (Round the quantitative answers to 2 decimal places, e.g. 1.75.) Observed F = Critical F = the null hypothesis. There v significant difference. is a is no Appendix A Statistical TablBusiness is very good for a chemical company. In fact, it is so good that workers are averaging more than 40 hours per week at each of the chemical company's five plants. However, management is not certain whether there is a difference between the five plants in the average number of hours worked per week per worker. Random samples of data are taken at each of the five plants. The data are analyzed using Excel. The results follow. Determine whether there is an overall significant difference between the means at a = 0.05? What are the values of the means? B C D 1 ANOVA: Single Factor 2 3 SUMMARY 4 Groups Count Sum Average Variance 5 Plant 11 636.5577 57.87 63.5949 6 Plant 2 12 601.7648 50.15 62.4813 7 Plant 3 8 491.7352 61 47 47.4772 Plant 4 5 246.0172 49.20 65.6072 Plant 5 7 398.6368 56.95 140.3540 B 9 10 ANOVA 11 Source of Variation SS df MS F P value F crit 12 Between Groups 900.0863 4 225.0216 3.10 0.026595 2.62 13 Within Groups 2760.136 38 72.63516 14 15 Total 3660.223 42 There significant difference. Plant 1: Plant 2: Plant 3: Plant 4: Plant 5:To understand how the weights of the cereal boxes vary among four different adjustable stabilizer settings of the rotary valve on the filling machine, a manufacturing firm collects sample data for the four different settings of the rotary valve. If the firm wants to analyze the sample data for the four settings to see if there is a significant difference by using a t test for the difference in two sample means, how many individual t tests of two sample means at a time would be required? O2 04 0 8 06