Question

11. A distribution of exam scores has a mean of μ = 78.

a.If your score is X = 70, which standard deviation would give you a better grade: σ = 4 or σ = 8?

Answer: ________________

b.If your score is X = 80, which standard deviation would give you a better grade: σ = 4 or σ = 8?

Answer: ___________________

12. For each of the following, identify the exam score that should lead to the better grade.

a.A score of X = 74 on an exam with M = 82 and σ = 8; or a score of X = 40 on an exam with μ = 50 and σ = 20.

Answer: _______________

b.A score of X = 51 on an exam with μ = 45 and σ = 2; or a score of X = 90 on an exam with μ = 70 and σ = 20.

Answer: _____________

c.A score of X = 62 on an exam with μ = 50 and σ = 8; or a score of X = 23 on an exam with μ = 20 and σ = 2 Answer: ________________

15. A population consists of the following N = 5 scores: 0, 6, 4, 3, and 12.

a. Compute μ and σ for the population

Mean =____________ Standard deviation=______________

b. Find the z-score for each score in the population

X=0, z =______X=6, z=______X=4, z=_____X=3, z=_____X=12, z=_____

13. A sample consists of the following n = 7 scores: 5, 0, 4, 5, 1, 2, and 4.

a.Compute the mean and standard deviation for the sample.

Mean =_________ Standard deviation =___________

b.Find the z-score for each score in the sample.

X=5, z=_____ X=0, z=_____ X=4, z=______ X=5, z=______ X=1, z=____

X=2, z=____X=4, z=_____

Answer 1