Steel rods are manufactured with a mean length of 27 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Complete parts (a) to (d). (a) What proportion of rods has a length less than 26.9 cm? 0.0766 (Round to four decimal places as needed.) (b) Any rods that are shorter than 26.85 cm or longer than 27.15 cm are discarded. What proportion of rods will be discarded? (Round to four decimal places as heeded.)

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Answered: Steel rods are manufactured with a mean length of 27 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Steel rods are manufactured with a mean length of 27 centimeter (cm). Because of variability in the
manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of
0.07 cm. Complete parts (a) to (d).
(a) What proportion of rods has a length less than 26.9 cm?
0.0766 (Round to four decimal places as needed.)
(b) Any rods that are shorter than 26.85 cm or longer than 27.15 cm are discarded. What proportion of rods will
be discarded?
(Round to four decimal places as heeded.)
nter your answer in the answor

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