The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=28, mean of x= 49.94 mm and std. of S = 0.15 mm. Expected diameter of metal cylinder is µ = 50.00 mm. Can we be 95% confident that machine calibrated properly? Solution: v=n-1=27 ; ta/2=? S P[x - 52 √x + X Vn S x= x + 10/2² √√1. -1-a =0.95
The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=28, mean of x= 49.94 mm and std. of S = 0.15 mm. Expected diameter of metal cylinder is µ = 50.00 mm. Can we be 95% confident that machine calibrated properly? Solution: v=n-1=27 ; ta/2=? S P[x - 52 √x + X Vn S x= x + 10/2² √√1. -1-a =0.95
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The data set of the diameters of the metal cylinders manufactured an automatic machine has sample size of n=28, mean of x= 49.94 mm and std. of
S = 0.15 mm. Expected diameter of metal cylinder is µ = 50.00 mm. Can we be 95% confident that machine calibrated properly? Solution:
v=n-1=27
; ta/2=?
P[X
for 2
S
VR
μ+ (a
Sl
Vi
-1-a
=0.95
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