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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

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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 Suppose that the compression strength observations on the fourth type of box had been 651.1, 744.7, 658.4, 575.0, 702.9, and 636.0 (obtained by adding 116 to each previous x41). Assuming no change in the remaining observations, carry out an Ftest with n: = 0.05. State the appropriate hypotheses. 0H0:"1*F'2*"3*-\"4 Ha: all four yj's are equal OHD:y1$p2$p3$p4 Ha: at least two pj's are equal H0:"1=\"2=\"3=\"4 Ha: at least two pl's are unequal OHD:F'1=*'2=F'3=-\"4 Ha: all four ,uj's are unequal Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? 0 Pvalue > 0.100 O 0.050 0.100 O 0.050 0.100 O 0.050 0.100 O 0.050

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