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204 Exm3 sp10 - Math 2040 Exam 3 spring 2010 Name SHOW YOUR...

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Math 2040 Exam 3 spring 2010 Name______________________________ SHOW YOUR WORK TO RECEIVE CREDIT 1) As given in the exam three review sheet, list two characteristics of the normal distribution (other than the empirical rule) _________________________________________________________________ _________________________________________________________________ 2) Assume that infants after a typical gestation period of 37 to 43 weeks have a normal distribution of birth weights with μ = 3432 grams and σ = 482 grams. a) Find the probability that a randomly selected full term (37-43 week) infant will have a weight above 4000 grams. __________ c) Find the probability that 11 randomly selected full term infants will have an average weight above 4000 grams. _________ d) Find the 5th percentile of the birth weights _________
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3) A sub population of full term infants is thought to have birth weights below the average of the whole population. a) A sample of this sub population was taken with the following results: n = 14, x = 3127 grams , s = 423 grams. Find a 99% confidence interval for the average of this sub population. __________ b) What sample size should be taken to estimate the average of the sub population? (use maximum error = 200 grams with 95% confidence
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