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# \$6.00RES/341 Version 7 Research and Evaluation

• From Mathematics: Statistics
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• Due on Dec. 23, 2011
• Asked on Dec 20, 2011 at 11:55:56PM

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Q:

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? (Data are from Flying 120,no. 11 [November 1993], p. 31.)

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A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed ona  very accurate scale. The results in grams were

3.087 3.131 3.241 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. (Data are from a project by MBA student Henry Scussel.)

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