Question

Listed below are brain volumes (cm3) of unrelated subjects used in a study. Assume the data is from a simple random sample. Use a 0.01 significance level and the critical values method to test the claim that the population of brain volumes has a mean equal to 1100.0cm3. Be sure to include all steps of a hypothesis test.
963
1027
1272
1079
1070
1173
1067
1347
1100
1204

Answer 1

The critical values of z= -2.575 and z= 2.575
the formula z= x bar- u/sigma / square root of n

but in general, we state a hypothesis. 
then compare the results to determine which hypothesis is most likely
you seem to have the right idea that its a 2 tailed test of equality.
 


± 2.575 = x− μ σ / √n

CI : x ± 2.575 (σ/√n) = μ