Answered: Four samples are taken and averaged…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter7: Applying Fractions

Section7.2: Proportions

Problem 47WE

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Question

Four samples are taken and averaged every hour from a production line and the hourly measurement of a particular impurity is recorded. Approximately one out of six of these averages exceeds 1.5% when the mean value is approximately 1.4%. State assumptions that would enable you to determine the proportion of the individual readings exceeding 1.6%. Make the assumptions and do the calculations.

Expert Solution

Step 1

We know that according to empirical rule,

99% data falls within three standard deviation
95% of data falls within two standard deviation.
about 68% of data falls within 1st standard deviation

Using these rules we will solve the above problem.

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