1) Random sample is attained from the normal population with the mean of µ = 80 and a standard deviation of σ = 8. Which of the following outcomes is more probable Describe your answer?
A. A sample mean greater than 86 for a sample of n = 4 scores.
B. A sample mean greater than 84 for a sample of n = 16 scores.
2) Population has the mean of µ = 45 and a standard deviation of σ = 20. Determine the z-score corresponding to each of the following sample means attained from this population (hint: use the standard error).
A. mean = 47 for a sample of n = 4 scores
B. mean = 47 for a sample of n = 100 scores
C. mean = 40 for a sample of n = 16 scores
3) Distribution of scores on the SAT is approximately normal with the mean of 500 and a standard deviation of σ = 100. For the population of students who have taken the SAT.
A. Determine the percentage which has SAT scores greater than 550?
B. What is the minimum SAT score required to be in the highest 10% of the population?
C. If a state college only accepts students from top 60% of the SAT distribution, determine the minimum SAT score required to be accepted?