Discuss the below:
Q: A process is supposed to produce aluminum castings with a mean weight of 1.223 kg. The weights follow a normal distribution with known standard deviation 0.084 kg.
(a) Set up hypotheses and a two-tailed decision rule to detect quality control violations using the .05 level of significance.
(b) From the following sample of 12 castings, what conclusion can you draw?
Aluminum
1.067 1.204 1.047 1.167 1.368 1.251
1.274 1.185 1.261 1.345 1.077 1.335.