The Average Score in the entrance examination in MSHS is 80 with a standard deviation of 40 students was taken from this year’s examinees and it was found to have a mean score of 84. Is there a significant difference between the known mean and the sample mean? Test at a= 0.05. Does this indicate that this year’s batch is better than the previous batches?

Question

The Average Score in the entrance examination in MSHS is 80 with a standard deviation of 40 students was taken from this year’s examinees and it was found to have a mean score of 84. Is there a significant difference between the known mean and the sample mean? Test at a= 0.05. Does this indicate that this year’s batch is better than the previous batches?

Answer 1

Z = (score-mean)/SEm

SEm = SD/√n

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score. Is it greater or smaller than .05?