1. The sum of all Z1 values is D. 157.469 2. The mean value of Z1 for all indivi
ID: 3217787 • Letter: 1
Question
1. The sum of all Z1 values is
D. 157.469
2. The mean value of Z1 for all individuals designated as employees in the sample is _____.
D. 2365.950
3. Median value of Z2 for all individuals in the sample is
D. 158.990
4. The Pearson coefficient of correlation between Z1 and Z2 for the group of managers in the sample is
D. 0.575
5. If we subtract the mean value of Y for managers from the mean value of Y for supervisors, then the answer is _____.
D. -2.200
6. Construct a new variable U by multiplying each individual value of X by 10. Thus, U = 10*X. If the standard deviation of X is denoted by s, then the standard deviation of U equals
D. s/10
7. Construct a new variable V by multiplying each individual value of X by 100. Thus, V = 100*X. If the arithmetic mean of X is denoted by M, then the arithmetic mean of V equals
D. M
8. Construct a new variable W by adding 50 to each individual value of X. Thus, W = X + 50. If the standard deviation of X is denoted by s, then the standard deviation of W equals
D. s
9. Construct a new variable H by adding 12 to each individual value of X. Thus, H = X + 12. If the arithmetic mean of X is denoted by M, then the arithmetic mean of H equals
D. M – 12
10. Construct a new variable J such that J = 1 + 2*X. Mean and standard deviation of J are _____ and _____ respectively.
D. 2.784, 7.200
11. Evaluate the following expression:
D. None of the above
12. Assume that a new (26th) value of X becomes available. As a result the arithmetic mean of all 26 X values decreases to 5. The new X value must be _____.
D. 5.2
13. Transform X into a new variable X' by adding 5 to each vaue of X, and transform Y into a new variable Y' by multiplying each value of Y with 2. The correlation between X' and Y' equals the correlation between _____ and _____.
E. None of the above
14. The coefficient of variation of Y is _____ times _____ than the the coefficient of variation of X.
A. 3396.730 B. 3923.730 C. 3936.730D. 157.469
2. The mean value of Z1 for all individuals designated as employees in the sample is _____.
A. 157.730 B. 13.096 C. 157.469D. 2365.950
3. Median value of Z2 for all individuals in the sample is
A. 156.949 B. 158.909 C. 156.640D. 158.990
4. The Pearson coefficient of correlation between Z1 and Z2 for the group of managers in the sample is
A. 0.910 B. 9.010 C. 0.557D. 0.575
5. If we subtract the mean value of Y for managers from the mean value of Y for supervisors, then the answer is _____.
A. 2.200 B. 0.220 C. 1.000D. -2.200
6. Construct a new variable U by multiplying each individual value of X by 10. Thus, U = 10*X. If the standard deviation of X is denoted by s, then the standard deviation of U equals
A. 10/s B. s C. 10*sD. s/10
7. Construct a new variable V by multiplying each individual value of X by 100. Thus, V = 100*X. If the arithmetic mean of X is denoted by M, then the arithmetic mean of V equals
A. M/100 B. 100/M C. 100*MD. M
8. Construct a new variable W by adding 50 to each individual value of X. Thus, W = X + 50. If the standard deviation of X is denoted by s, then the standard deviation of W equals
A. s – 50 B. 50*s C. s + 50D. s
9. Construct a new variable H by adding 12 to each individual value of X. Thus, H = X + 12. If the arithmetic mean of X is denoted by M, then the arithmetic mean of H equals
A. M + 12 B. M C. 12*MD. M – 12
10. Construct a new variable J such that J = 1 + 2*X. Mean and standard deviation of J are _____ and _____ respectively.
A. 11.400, 5.568 B. 7.200, 2.784 C. 5.568, 11.400D. 2.784, 7.200
11. Evaluate the following expression:
A. 115.204 B. 3731.015 C. 151.204D. None of the above
12. Assume that a new (26th) value of X becomes available. As a result the arithmetic mean of all 26 X values decreases to 5. The new X value must be _____.
A. 0 B. 5 C. 10D. 5.2
13. Transform X into a new variable X' by adding 5 to each vaue of X, and transform Y into a new variable Y' by multiplying each value of Y with 2. The correlation between X' and Y' equals the correlation between _____ and _____.
A. X, Y B. X', Y C. X, Y' D. All of the aboveE. None of the above
14. The coefficient of variation of Y is _____ times _____ than the the coefficient of variation of X.
A. 1.019, larger B. 0.982, larger C. 1.019, smaller D. 101.879, larger Person ID 10 11 12 13 14 16 17 18 19 20 21 22 23 24 Arithmetic mean Standard deviation Group 157.90 100 163.90 Manager 156.64 148.64 Manager 160.45 155.45 Manager 153.13 160.13 Manager 170.14 168.14 Manager 150.09 149.09 Supervisor 163.74 161.74 Supervisor 10 134.47 142.47 Supervisor 174.17 177.17 Supervisor 150.05 151.05 Supervisor 10 141.47 148.47 Employee 156.59 148.59 Employee 161.88 162.88 Employee 150.99 158.99 Employee 174.95 174.95 Employee 166.90 165.90 Employee 128.43 124.43 Employee 100 169.11 168.11 Employee 153.73 150.73 Employee 151.45 146.45 Employee 172.85 164.85 Employee 146.05 137.05 Employee 171.48 178.48 Employee 153.55 151.55 Employee 166.52 164.52 Employee 5.200 5.280 157.469 156.949 2.784 2.880 12.159 12.776Explanation / Answer
1 ans ) ) by summing up all the values = 3923.730
2 ans) The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. C. 157.469'
3 ans) The "median" is the "middle" value in the list of numbers.
. 158.990
4ans) C. 0.557
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