# Thread: Statistics home work problems

1. ## 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?

1) State the main points of the Central Limit Theorem.
This is asking you to paraphrase the staement of the central limit theorem.

RonL