b) A company produces cylindrical metal rods. The diameters of rods have a normal distribution with mean µcm and variance o? cm². A random sample of 100 rods is taken and the diameter x, in cm, of each rod is measured. The results are summarised as Σx- 52.1 and Σ= 27.303. (i) Calculate the mean and variance of the population of the diameters of the rods (iii) Determine a 95% confidence interval for the mean diameter of the rods.
b) A company produces cylindrical metal rods. The diameters of rods have a normal distribution with mean µcm and variance o? cm². A random sample of 100 rods is taken and the diameter x, in cm, of each rod is measured. The results are summarised as Σx- 52.1 and Σ= 27.303. (i) Calculate the mean and variance of the population of the diameters of the rods (iii) Determine a 95% confidence interval for the mean diameter of the rods.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Transcribed Image Text:(b)
A company produces cylindrical metal rods. The diameters of rods have a normal
distribution with mean µcm and variance o? cm?. A random sample of 100 rods is
taken and the diameter x, in cm, of each rod is measured. The results are summarised
as Ex= 52.1 and E² =27.303.
(i)
Calculate the mean and variance of the population of the diameters of the
rods
(iii) Determine a 95% confidence interval for the mean diameter of the rods.
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