Question

I found a skew of 1.23 (SE = .65). The mean rating was 4.78. What is the z-score for the skew of my data?

A) 1.89

B) -1.89

C) 0.65

D) Cannot be determined with the given information

Answer 1

The z-score for the skewness of the data is 1.89, which is calculated by dividing the skewness value by the standard error. The correct answer from the given options is A) 1.89.

Step-by-step explanation:

The question asks for the z-score corresponding to a given skewness measurement. To find the z-score, we use the formula z = (skewness - mean) / SE, where 'SE' is the standard error. In this case, we have a skewness of 1.23, a mean of 0 (since skewness is measured as a z-score with a mean 0), and an SE of .65.

Therefore, we calculate the z-score as follows: z = (1.23 - 0) / .65 = 1.89. From the options provided, Answer A) 1.89 is correct.