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The article "Compression of Single-Wall Corrugated Shipping Containers Using Fixed and Floating Text Platens" (Journal of Testing and Evaluation [1992]: 318-320) described an experiment in which several different types of boxes were compared with respect to compression strength (in pounds). The data at the top of page 746 resulted from a single-factor experiment involving k = 4 types of boxes (the sample means and the 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 .01.
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Estimate the population mean
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