Directions: Complete the solution in each of the following problem. The average score in the entrance examination in Mathematics at Sto Rosario National High School is 80 with a standard deviation of 10. A random of 40 students was taken from this year's examinees and it was found to have a mean score of 84. Solution : a: Is there a significant difference between the known mean and the sample mean? Test at a 0.05: Step 1. Hatu =80 ; There is no significant difference between the hypothesized and the sample mean. Ha: p # 80: Step 2. Level of significance, a =0.05. Step 3. two tailed test, find the critical value, 2t- Step 4. Compute the test-statistic value: Step 5. Decision Rule : Step 6. Conclusion: b. Does this indicate that this year's batch is better in mathematics than the previous batches? Solution Step 1. Ho: p This year's batch is as good as the previous batches in mathematics. Ha : 1 "Step 2. Level of significance, a Step 3. Find the critical value, Zt= Step 4. Compute the test statistic: Zo- Step 5. Decision Rule Step 6. Conclusion