10. [0.5/1 Points] DETAILS PREVIOUS ANSWERS ASWESBE9 13.E.037. MY NOTES ASK YOUR TEACHER You may need to use the appropriate technology to answer this question. Suppose the following data show the percentage of 17- to 24-year-olds who are attending college in several metropolitan statistical areas in four geographic regions of the United States. Northeast Midwest South West 28.0 36.8 60.2 16.4 40.7 33.8 36.7 32.8 31.2 22.5 27.5 21.8 47.1 44.5 41.9 12.3 32.1 31.5 33.7 14.1 15.1 58.9 18.9 27.2 37.1 31.2 30.0 58.1 36.7 64.7 66.7 14.1 37.6 27.4 31.9 36.4 58 .8 55.5 30.0 28.5 59.8 79.2 38.6 17.5 42.0 29.0 33.1 74.0 29.3 52.8 36.0 23.8 51.5 29.0 34.1 25.5 61.1 25.1 29.6 58.7 53. 28.1 20.3 31.5 32.0 28.3 41.5 23.4 25.5 69.5 34.1 73.3 3.3 33.473.3 23.3 33. 36.1 30.4 36.2 27.9 30.6 34.5 27.5 20.8 28.5 32.6 31.9 22.5 56,7 38.6 27.8 40.7 33.5 35.7 39.0 21.8 39.2 35.0 25.7 33.2 Use a = 0.05 to test whether the mean percentage of 17- to 24-year-olds who are attending college is the same for the four geographic regions. State the null and alternative hypotheses. OHO: HN = HM = Us = HW Ha: Not all the population means are equal. OHO: HN = HM = US = HW Ha : HN = HM * HS = HW O Ho: Not all the population means are equal. Hai HN = HM = HS = HW O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. OHO : HN * HM * HS * HW Ha: HN = HM = HS = HW Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value =O HO: Not all the population means are equal. Ha: \"A = \"B = \"c \"0: \"A=\"B=\"c Ha: Not all the population means are equal. J Find the value of the test statistic. (Round your answer to two decimal places.) E Find the p-value. (Round your answer to three decimal places.) State your conclusion. YOU may need to use the approprlate technology to answer tl'llS questlon. Three different assembly methods have been proposed for a new product. A completely Iandomized experimental design was chosen to determine whlch assembly method results in the greatest number of parts produced per hour, and 30 workers were randomlyI selected and assigned to use one of the proposed methods. The number of units produced by each worker follows. nemd A B C 96 92 IOU 73 99 93 93 94 SB 99 54 66 74 76 59 90 90 75 99 85 83 85 74 7]. 91 90 87 110 96 9| Use these data and test to see whether the mean number of parts produced is the same with each method. Use a: = 0.05. State the null and alternative hypotheses. O HO: \"Aiai \"c Ha: \"A = l\"B = \"c O HO: At least two of the population means are equal. Ha: At least two of the population means are different. 0 H0: \"A=FB=F'C Ha: \"A i \"a ' \"c O HO: Not all the population means are equal. Ha: \"A = l\"B = \"c \"oi-\"A=FB=F'C Ha: Not all the population means are equal