# Important information about Statistics - Multiple Choice Questions

1. On an exam with s = 6, Tom's score of X = 54 corresponds to z = +1.00. The mean for the exam must be m = 60. (Points: 1)
True
False

2. A population with m = 45 and s = 8 is standardized to create a new distribution with m = 100 and s = 20. In this transformation, a score of X = 41 from the original distribution will be transformed into a score of X = 110. (Points: 1)
True
False

3. For a sample with a mean of M = 50 and a standard deviation of s = 10, a z-score of
z = +2.00 corresponds to X = 70. (Points: 1)
True
False

4. A population with m = 85 and s = 12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the population of z-scores? (Points: 1)
m = 85 and s = 12
m = 0 and s = 12
m = 85 and s = 1
m = 0 and s = 1

5. For a population with a mean of m = 100, what is the z-score corresponding to a score that is located 10 points below the mean? (Points: 1)
+1
- 1
- 10
cannot answer without knowing the standard deviation

6. The value for a probability can never be less than zero, unless you have made a computational error. (Points: 1)
True
False

7. What proportion of a normal distribution is located in the tail beyond a z-score of z = - 1.00? (Points: 1)
0.8413
0.1587
-0.3413
-0.1587

8. A vertical like is drawn through a normal distribution at z = +0.25. The line separates the distribution into two sections. What proportion of the distribution is in the smaller section? (Points: 1)
25%
40.13%
59.87%
75%

9. What proportion of a normal distribution corresponds to z-scores greater than +1.04? (Points: 1)
0.3508
0.1492
0.6492
0.8508

10. In any normal distribution, what are the z-score boundaries for the middle 50% of the distribution? (Points: 1)
z = 0.67
z = 0.25
z = 0.50
z = 0.75

#### Solution Summary

This solution is comprised of detailed step-by-step calculations and analysis of the given problems related to Statistics and provides students with a clear perspective of the underlying concepts.