Answer:
The correct option is;
2.81
Step-by-step explanation:
The critical value , is found from the z score table as follows, where the the confidence level is 99.5
Therefore, we have α = 1 - 99.5/100 = 1 - 0.995 = 0.005
α/2 = 0.0025
The critical value is thus found from the z-score table value of 1 - 0.0025 = 0.9975
From the z-table, we can find the 0.9975 score on the row with z = 2.8 where 0.9975 can be located under the 0.1 column giving the critical value as 2.81