Consider the foam thickness data from Exercise 10-39. Is there any indication that the variances of foam

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Consider the foam thickness data from Exercise 10-39. Is there any indication that the variances of foam thickness are different at the two different levels of temperature?


Exercise 10-39

An article in Polymer Degradation and Stability (2006, Vol. 91) presented data from a nine-year aging study on S537 foam. Foam samples were compressed to 50% of their original thickness and stored at different temperatures for nine years. At the start of the experiment as well as during each year, sample thickness was measured, and the thicknesses of the eight samples at each storage condition were recorded. The data for two storage conditions follow.

50°C 0.047, 0.060, 0.061, 0.064, 0.080, 0.090, 0.118, 0.165, 0.183 60°C 0.062, 0.105, 0.118, 0.137, 0.153, 0.197, 0.21

(a) Is there evidence to support the claim that mean compression increases with the temperature at the storage condition?

(b) Find a 95% confidence interval for the difference in the mean compression for the two temperatures.

(c) Is the value zero contained in the 95% confidence interval? Explain the connection with the conclusion you reached in part (a).

(d) Do normal probability plots of compression indicate any violations of the assumptions for the tests and confidence interval that you performed?

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Applied Statistics And Probability For Engineers

ISBN: 9781118539712

6th Edition

Authors: Douglas C. Montgomery, George C. Runger

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