Question 10. A photooonduetor hn is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the lm and believes that this can be achieved by reducing the thickness of the lm to 20 mils. Eight samples of each lm thickness are manufactured in a pilot production process, and the lm speed (in microjoules per square inch) is measured. For the 25mil lm, the sample data result is fl = 1.15 and .91 = 0.11I and for the 2Dmil lm the data yield i2 = 1.26 and 52 = 0.09. Note that an increase in lm speed would lower the value of the observation in mierojoulee per square inch. Assume that both population are normal. (3} Do the data support the claim that the two methods would yield the same population standard deviation? Find the Pvalue. Use or = 0.10. (hint: test. H0 : o1 = 02 worms H1 : {:1 75 org) ('0) Based on the conclusion from part (a), do the data support the claim that reducing the lm thickness increases the mean speed of the lm? Find the Pvalue. Use o = 0.10; {hint you need to choose pooled=\"yes" or \"no\" based on the result from part [a))