A manufacturing company wants to see if there is a significant difference in three types of plastic for a new product. They randomly sample prices for each of the three types of plastic and run an ANOVA. Use α = 0.05 to see if there is a statistically significant difference in the mean prices. Part of the computer output is shown below, fill in the missing information. Use � = 0.01. a. State the correct null and alternative hypotheses. b. Compute the test statistic. Fill out the entire ANOVA table. Round answers to at least 4 decimal places.   Sample Mean Sample Size High-Density Polythene 38.5673 11 Low-Density Polythene 38.0473 15 Polyethylene Terephthalate 35.8375 8   Source S.S. df M.S. F Treatment         Error     6.69797   Total 245.471038       c. What is the critical value?

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