Question

Problem 6.77. A camera film is currently manufactured to a thickness of 25 thousandths. The process engineer wants to increase the speed of the film and believes that this can be achieved by decreasing the film thickness to 20 thousandths. Film speed is measured in µJ / in² which is a measure inversely proportional to speed, that is, at higher speed minus µJ / in²

8 sheets of each thickness are taken (25 thousandths and 20 thousandths) and the following results are obtained:

For 25 thousandths: x̅ = 1.15 µJ / in² and s = 0.11 µJ / in²

For 20 thousandths: x̅ = 1.06 µJ / in² and s = 0.09 µJ / in²

a) Is there evidence to support the belief of the process engineer? (Assume that σ1 = σ2)

-Clearly define the hypothesis, the areas of acceptance and rejection, the test statistic and express your conclusion in complete sentence

b) Calculate the Pvalue for this test

c) Is the presumption of equal variances supported?

Answer 1

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