You may need to use the appropriate technology to answer this question. To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 20 28 19 125 25 20 25 30 24 2 2 33 17 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. State the null and alternative hypotheses. Ho: At least two of the population means are equal. H : At least two of the population means are different. OHO: H1 = H2 - H3 H. : Not all the population means are equal. O Ho: H1 = H2 = H3 Hai H1 + H2 + 13 O Ho: Not all the population means are equal. Hai H1 = H2 = H3 OHo: H1 + H2 + H3 Ha: H1 = H2 - H3 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 = State your conclusion. Do not reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Do not reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Reject Ho. There is not sufficient evidence to conclude that the mean time needed to mix a batch of material is not the same for each manufacturer. Reject Ho. There is sufficient evidence to conclude that the mean time needed to mix a batch of material is not the came for each manufacturer