A manufacturer of paper used for making grocery bags is interested in improving

Question

A manufacturer of paper used for making grocery bags is interested in improving the tensile strength of the product. Tensile strength is a function of the hardwood concentration in the pulp and the range of practical interest is between 5 and 20%. A team of engineers decides to set up a test to investigate four levels of hardwood concentration: 5, 10, 15, and 20% and test six specimens at each concentration level, all tests were run in random order. An uncompleted ANOVA table is seen below. 2. P-value 0.000 SOURCE Recipe Error Total DF MS 130.17 512.96 2 Complete the ANOVA table by filling the"?" with the appropriate values. Assuming the assumptions for ANOVA are satisfied, perform a 0.05 Hypothesis test. Be sure to state your conclusion in terms of the hardwood concentration. a. b.

Explanation / Answer

a)

b)

as p value is less then 0.05 level we reject null hypothesis.

We have sufficient evidecen to conclude that mean tensile strength for at least 2 of hardwood concentration is different from each other,

source df SS MS F P recipe 3 382.79 127.597 19.605 0.002 error 20 130.17 6.509 total 23 512.96

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