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...


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 if
 = 685.0042.























































Type of BoxCompression Strength (lb)Sample
Mean
Sample
SD
1645.5798.3744.3711.4689.1709.4716.333351.6374
2779.2782.5776.9696.1742.1784.8760.266735.1532
3727.1649.0706.3661.7727.2737.1701.400037.2733
4525.1638.7552.4569.0576.9510.0562.016745.4129


Calculate the test statistic and find the P-value. (Round your answer to two decimal places.)


F =



P-value =


Jun 09, 2022
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