find the standard deviation correct to 3 significant figures, and hence show that about 2.7% of the screws have diameters greater than 1.06 mm. Find, correct to 2 significant figures, (i) the number d for which 99% of the screws have diameters that exceed d mm

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
Question

The diameters D of screws made in a factory are normally distributed with mean 1 mm. Given that 10% of the screws have diameters greater than 1.04 mm, find the standard deviation correct to 3 significant figures, and hence show that about 2.7% of the screws have diameters greater than 1.06 mm. Find, correct to 2 significant figures,
(i) the number d for which 99% of the screws have diameters that exceed d mm (ii) the number e for which 99% of the screws have diameters that do not differ from the mean by more than e mm.

The diameters D of screws made in a factory are normally distributed with
mean 1 mm. Given that 10% of the screws have diameters greater than
1.04 mm, find the standard deviation correct to 3 significant figures, and hence
show that about 2.7% of the screws have diameters greater than 1.06 mm.
Find, correct to 2 significant figures,
(i) the number d for which 99% of the screws have diameters that exceed d mm
(ii) the number e for which 99% of the screws have diameters that do not
differ from the mean by more than e mm.
[MEI)
Transcribed Image Text:The diameters D of screws made in a factory are normally distributed with mean 1 mm. Given that 10% of the screws have diameters greater than 1.04 mm, find the standard deviation correct to 3 significant figures, and hence show that about 2.7% of the screws have diameters greater than 1.06 mm. Find, correct to 2 significant figures, (i) the number d for which 99% of the screws have diameters that exceed d mm (ii) the number e for which 99% of the screws have diameters that do not differ from the mean by more than e mm. [MEI)
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