Extracted text: Five strains of bacteria were observed for 24 hours. The table given to the right reports bacteria counts, in millions, for different cases from each of the five strains. Some summary statistics for these data are given below. ABC DED 31 39 19 46 24 16 29 21 33 14 20 28 15 33 10 16 20 16 33 52 47 69 27 49 At the 10% significance level, do the data provide sufficient evidence to conclude that a difference exists in mean bacteria counts among the five strains? T, = 104, T2 = 130, T3 = 185, T4 = 98, T5 = 194, and x2 = 25,777 Click the icon to view a table of values of F Let u1, H2, Ha: H4, and s be the population means for strains A, B, C, D, and E, respectively. What are the correct hypotheses for a one-way ANOVA test? O A. Ho: H, # Hz # H3 # H4 # H5 O B. Hg: H, = H2 = H3 = H4 = H5 H: Not all the means are equal. H3: All the means are equal. OC. Ho: H1 + µ2 # H3 # H4 H5 SH = *rl = Erl = ?d= 'd:H O D. Hg: H1 = 2 = H3 = H4 = H5 Determine the F-statistic. F=(Round to two decimal places as needed.) Determine the critical value F F,= (Round to two decimal places as needed.) Since the F-statistic falls in the rejection region, do not reject Ha. The data do not provide sufficient evidence to conclude that the population means are not all the same.
Extracted text: Values of F. dfn dfd 3 4 5 6 7 8 0.10 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 0.05 17 0.025 4.45 3.59 3.20 2.96 2.81 2.70 2.61 2.55 2.49 6.04 4.62 4.01 3.66 3.44 3.28 3.16 3.06 2.98 0.01 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 0.005 10.38 7.35 6.16 5.50 5.07 4.78 4.56 4.39 4.25 0.10 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 0.05 4.41 3.55 3.16 2.93 2.77 2.66 2.58 2.51 2.46 18 0.025 5.98 4.56 3.95 3.61 3.38 3.22 3.10 3.01 2.93 0.01 8.29 6.01 5.09 4.58 4.25 4.01 3.84 3.71 3.60 0.005 10.22 7.21 6.03 5.37 4.96 4.66 4.44 4.28 4.14 0.10 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 0.05 4.38 3.52 3.13 2.90 2.74 2.63 2.54 2.48 2.42 19 0.025 5.92 4.51 3.90 3.56 3.33 3.17 3.05 2.96 2.88 4.50 5.27 0.01 8.18 5.93 5.01 5.92 4.17 3.94 3.77 3.63 3.52 0.005 10.07 7,09 4.85 4.56 4.34 4.18 4.04 2.16 0.10 0.05 2.97 2.59 2.38 2.25 2.09 2.04 2.00 1.96 4.35 3.49 3.10 2.87 2.71 2.60 2.51 2.45 2.39 20 0.025 5.87 4,46 3.86 3.51 3.29 3.13 3.01 2.91 2.84 0.01 8. 10 5.85 4.94 4.43 4.10 3.87 3.70 3.56 3.46 0.005 9.94 6.99 5.82 5.17 4.76 4.47 4.26 4.09 3.96 0.10 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 0.05 0.025 0.01 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 21 5.83 4.42 3.82 3.48 3.25 3.09 2.97 2.87 2.80 5.78 6.89 8.02 4.87 4.37 4.04 3.81 3.64 3.51 3.40 0.005 9.83 5.73 5.09 4.68 4.39 4.18 4.01 3.88 0.10 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 0.05 4.30 3.44 3.05 2.82 2.66 2.55 2.46 2.40 2.34 22 0.025 5.79 4.38 3.78 3.44 3.22 3.05 2.93 2.84 2.76 0.01 7.95 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 0.005 9.73 6.81 5.65 5.02 4.61 4.32 4.11 3.94 3.81 0.10 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 0.05 0.025 4.28 3.42 3.03 2.80 2.64 2.53 2.44 2.37 2.32 23 5.75 4.35 3.75 3.41 3.18 3.02 2.90 2.81 2.73 0.01 7.88 5.66 4.76 4.26 3.94 3.71 3.54 3.41 3,30 0.005 9.63 6.73 5.58 4.95 4.54 4.26 4.05 3.88 3.75 0.10 2.93 2.33 2.19 2.10 2.04 1.98 2.42 2.54 1.94 1.91 0.05 4.26 3.40 3.01 2.78 2.62 2.51 2.36 2.30 24 0.025 5.72 4.32 3.72 3.38 3.15 2.99 2.87 2.78 2.70 0.01 7.82 5.61 4.72 4.22 3.90 3.67 3.50 3.36 3.26 0.005 9.55 6.66 5.52 4.89 4.49 4.20 3.99 3.83 3.69