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QUESTION 6 1 points Save Answer A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film, and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data has a mean of 1.13 and a standard deviation of 0.11 and while for the 20-mil film, the data yield a sample mean of 1.08 and a standard deviation of 0.09. Note that an increase in film speed would lower the value of the observation in microjoules per square inch. (a) Do the data support the claim that reducing the film thickness increases the mean speed of the film? Assume that the underlying population of film speed is normally distributed The the P-value for this test is (Round your answer to three decimal places (e.g. 98.765)) and the claim that reducing the film thickness increases the mean speed of the film is (supported / not supported) QUESTION 7 1 points Save Answer Consider the hypothesis test Ho: P1 = P2 against H1: P1 = P2 . Suppose that sample sizes are n1=15 and n2=15 and X, =4.5 and X2 = 8.0 and that s? =4 and s? =6.18. Assume that the data are drawn from normal distributions Compute the p-value of the test statistics. Round your answer to 4 decimal places. QUESTION 8 1 points Save Answer Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 83 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 89 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation. (a) There is evidence to support the claim that catalyst 2 produces higher mean yield than catalyst (a=0.01) o True o False