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Unformatted text preview: STAT 350 L ECTURE 10 Chapter 5 (5.6) Describing Sample Distributions Central Limit Theorem E XAMPLE An electronics company manufactures resistors that have a mean resistance of 100 ohms and a standard deviation of 10 ohms. The distribution of resistance is normal. Find the probability that a random sample of n=25 resistors will have an average resistance less than 95 ohms. E XAMPLE An electronics company manufactures resistors that have a mean resistance of 100 ohms and a standard deviation of 10 ohms. The distribution of resistance is normal. Find the probability that a random sample of n=25 resistors will have an average resistance less than 95 ohms. Sketch of Solution: The sampling distribution of is normal, with mean 100 ohms and standard error 10/√25 = 2 ohms. Zvalue for 95 is 2.5 P ( X 95) P ( Z 2.5) 0.0062 X E XAMPLE 5.10 Suppose the lifetime of a laptop battery follows exponential distribution with a mean of 10,000 hr. What is the probability of the battery that fail before 20,000 hour of service? E...
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This note was uploaded on 04/23/2011 for the course STAT 350 taught by Professor Staff during the Spring '08 term at Purdue.
 Spring '08
 Staff
 Central Limit Theorem, Standard Deviation

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