An article describes an experiment in which several types of boxes were compared with respect to compression strength (lb). The table below presents the results of a single-factor ANOVA experiment involving I = 4 types of boxes. Type of Box Compression Strength (lb) 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 4 535.1 628.7 542.4 559.0 586.9 520.0 562.02 39.87 l0 use SALT Suppose that the compression strength observations on the fourth type of box had been 651.1, 744.7, 658.4, 675.0, 702.9, and 636.0 (obtained by adding 116 to each previous x4j). Assuming no change in the remaining observations, carry out an F test with at = 0.05. State the appropriate hypotheses. OHo=#1=#2=#3=#4 Ha: all four ,u,'s are unequal OHo=M1*#2*#3*4 Ha: all four ,uj's are equal 0H0: #1*#2*M3*#4 Ha: at least two 111,35 are equal Ho=l=nz=s=4 Ha: at least two 31,35 are unequal I Calculate the test statistic. (Round your answer to two decimal places.) f=_x