statistics and probability, central limit theorem.

Ii: % let's Apply Direction: Fill in the boxes with the correct valuel's. Show your complete solution, if necessary. Problem: The mean score on Statistics and Probability test of STEM students is 30. The standard deviation is 5. If the teacher administers the test to a class of 40 students. nd the probability that the mean of the sample will be between 27 and 31. Assume the variable is normally distributed. Solution: Step 1: Draw the properly labelled normal curve. Step 2: Compute the value of the standard deviation of the sample mean. Step 3: Compute the :1 value when :2 = 27 and 22 value when i = 31. Step 4: Find the probability that the mean of the sample will be between 27 and 31