Question

Consider a sample with six observations of 19, 6, 19, 16, 18, and 24. Compute the z-score for each observation.

a. 0.68, -1.02, 0.68, -0.34, 0.34, 1.36
b. 1.02, -1.36, 1.02, -0.68, 0.68, 1.36
c. 0.68, -1.36, 0.68, -0.68, 1.02, 1.36
d. 1.36, -1.36, 0.68, -0.68, 0.34, 1.02

Answer 1

To calculate the z-scores for each observation, use the formula z = (x - mean) / standard deviation.

Step-by-step explanation:

The z-scores for the given observations can be calculated using the formula:

z = (x - mean) / standard deviation

Let's calculate the z-scores for each observation:

1. For the observation 19: z = (19 - mean) / standard deviation
2. For the observation 6: z = (6 - mean) / standard deviation
3. For the observation 19: z = (19 - mean) / standard deviation
4. For the observation 16: z = (16 - mean) / standard deviation
5. For the observation 18: z = (18 - mean) / standard deviation
6. For the observation 24: z = (24 - mean) / standard deviation

Simplify the equations and calculate the z-scores using the given mean and standard deviation.