The Bunting Brass & Bronze Company has a computer controlled machine that is programmed to do precision cutting of a circular brass disc with a mean diameter of 6.125 inches. The shop foreman takes a random sample of 8 discs from the production line. The diameters are as follows: 6.115, 6.127, 6.129, 6.113, 6.124, 6.121, 6.131, and 6.124. The foreman suspects that the machine is out of adjustment. What are the null and alternate hypotheses?
H0 : mu = 6.125
Ha: mu not equals to 6.125
test statsitics:
from the given data,
xbar = 6.123
sigma = 0.0064
t = (xbar -mu)/(sigma/sqrt(n))
= ( 6.123 - 6.125)/(0.0064/sqrt(8))
= -0.884
p value = 0.4061
The Bunting Brass & Bronze Company has a computer controlled machine that is programmed to do...