An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment...

Extracted text: An article describes an experiment in which several types of boxes were compared with respect to compression strength (Ib). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes. Туре of Box Compression Strength (Ib) Sample Mean Sample SD 1 655.5 788.3 734.3 721.4 679.1 699.4 713.00 46.55 2 789.2 772.5 786.9 686.1 732.1 774.8 756.93 40.34 3 737.1 639.0 696.3 671.7 717.2 727.1 698.07 37.20 535.1 628.7 542.4 559.0 586.9 520.0 562.02 39.87 Suppose that the compression strength observations on the fourth type of box had been 657.1, 750.7, 664.4, 681.0, 708.9, and 642.0 (obtained by adding 122 to each previous x). Assuming no change in the remaining observations, carry out an F test with a = 0.0 State the appropriate hypotheses. O Ho: H1 * M2 # Hz# H4 H: at least two u's are equal Ho: Hq = Hz = Mz =H4 H: at least two µ's are unequal O Ho: H1 = H2 = !3= H4 H: all four u,'s are unequal O Ho: H1 # 42 # Hz# H4 H: all four u's are equal Calculate the test statistic. (Round your answer to two decimal places.) f = 3.34