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Exam2_Solutions

# Exam2_Solutions - I Problem 1(Normal Distribution A...

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I ; Problem 1: (Normal Distribution) A fiber-spinning process currently produces a fiber whose strength is normally distributed with a mean of 75 ~ / m l . The minimum acceptable strength is 65 ~/rn'. (a) Ten percent of the fiber produced by the current method fails to meet the minimuin specification. What is the standard deviation of fiber strengths in the current process? (b) If the standard deviation is 5 ~ / m ~ , to what value must the mean be set so that only 1 % of the fiber will fail to meet the specification?

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then, E (W) = 35 andV(W)= 40 - (c) Twenty-five samples of size n = 45 each are drawn from an exponential population with /- [email protected] mean 5. Then the distribution ofmple means will be approximately :NO ~ Y K J - (d) 45 equal samples are drawn from a population, with p = 40, o2 = 9. The standard error of I sample means, 0% =l. Then the sample size is q 6, (e) If X, with Y are independent, COV (X, Y) = 0 0 3 (f) The MMITAB command to check the normality of a give data set isG-hi-7-b P,b+ (g) If log X has a normal distribution, then X is ~ 0 9 ~ 0 ~cmd- 0 ( (h) If T -
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Exam2_Solutions - I Problem 1(Normal Distribution A...

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