Question

You are allowed to use MINITAB to do the calculations. Conclusions and interpretations must be hand written. I) A product developer is investigating the tensile strength of a new synthetic fiber that will be used to make cloth for men's shirts. Strength is usually affected by the percentage of cotton used in the blend of materials for the fiber. The engineer conducts a completely randomized experiment with five levels of cotton content and replicated the experiment five times. The data are shown in the following table Cotton Weight Observations 25 30 35 a With a regression model verify if there is evidence to support the claim that cotton content affects the mean tensile strength? Use α 0.05 i)State the hypotheses, i) What is the value of the test statistic? )What is the p-value? i) What is the decision? v) Make conclusions. b) Test the hypothesis for the quadratic coefficient individually i) State the hypotheses, ii) What is the value of the test statistic? ii) What is the p-value? iWhat is the decision? v) Make conclusions. e) Fit the best regression model for the tensile strength as a d What kind of relationship are there between the tensile e) Check and comment on the adequacy of the model fitted function of the cotton percentage strength and the cotton percentage? in part c

Answer 1

The output of the regression analysis for the given data:

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(a)

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