An article described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). The data in the table below resulted from a single-factor experiment involving k-4 types of boxes (the sample means and standard deviations are in close agreement with values given in the paper). Do these data provide evidence to support the claim that the mean compression strength is not the same for all four box types? Test the relevant hypothesis using a significance level of 0.01 ir 3-682.5042 Sample Mean Sample SO 1 645.5 778.3 744.3 731.4 669.1 689.4 709.6667 50.1121 2 779.2 7825 776.9 676.1 722.1 794.8 753.6000 44.7334 3 727.1629.0 606.3 661.7 727.2 737.1 698.0667 40.9678 4 5451 638.7 5524 549.0 596.9 530.0 568.6833 40.9968 (Round your answer to two decimal places) Type of Box Calculate the test statistic. Compression Strength (lb) Use technology to find the value. (Round your answer to four decim

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