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(b) A company produces cylindrical metal rods. The diameters of rods have a normal distribution with mean ucm 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 E = 27.303. Calculate the mean and variance of the population of the diameters of the rods (i) (ii) Determine a 95% confidence interval for the mean diameter of the rods. (iv) Investigate, at the 1% significance level, whether the mean diameter of the rods is 0.512 cm.

(b) A company produces cylindrical metal rods. The diameters of rods have a normal distribution with mean ucm 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 E = 27.303. Calculate the mean and variance of the population of the diameters of the rods (i) (ii) Determine a 95% confidence interval for the mean diameter of the rods. (iv) Investigate, at the 1% significance level, whether the mean diameter of the rods is 0.512 cm.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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(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 Σx 21 and Σ= 27.303. as (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. (iv) Investigate, at the 1% significance level, whether the mean diameter of the rods is 0.512 cm.
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 Σx 21 and Σ= 27.303. as (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. (iv) Investigate, at the 1% significance level, whether the mean diameter of the rods is 0.512 cm.
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