# Statistics home work problems

• Mar 5th 2008, 12:49 PM
Statistics home work problems
1) State the main points of the Central Limit Theorem.
2) Why is the population shape of concern when estimating a mean? What does sample size have to do with it?
3)A random sample of 10 minature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.270 3.353 3.400 3.411 3.437 3.477

a) Construct a 90 percent confidence interval for the true mean weight. b) What sample size would be necessary to estimate the true weight with an error of +0.03 grams with 90 percent confidence? c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.

4) In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. a) construct a 95 percent confidence interval for the population proportion of positive drug tests. b) why is the normality assumption not a problem, despite the very small value of p?
• Mar 6th 2008, 03:40 AM
CaptainBlack
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1) State the main points of the Central Limit Theorem.

This is asking you to paraphrase the staement of the central limit theorem.

RonL
• Mar 7th 2008, 06:16 PM
mr fantastic
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