Can you confirm if I answered the questions correctly:

#1 Case #6 has a Ztotal score of 1.40. What does a z value of 1.40 represent?

In terms of the Z score of 1.40 we are now able to interpret the percentage of students that scored higher than Case #6 and what percentage scored lower. Referring to the table in the text the probability that a score is greater than our z-score of 1.40 is .0808. The probability of the other 105 students’ scores being higher scores than 1.40 is 8%. We can also see how well Case #6  performed relative to the mean score by subtracting Case #6 score from the mean (0.5 - 0.0808 = 0.76). Hence, 76% of the scores (0.76 x 100 = .76) were lower than Case #6 but above the mean score.

 

#2 Identify the case with the highest z score. Refer to Appendix A in the Warner (2013) text. Interpret the percentile rank of this z score rounded to whole numbers.

The case #’s with the highest z scores are 10 and 44 with the same score of 1.53 rounded to the whole number of 2. Referring to the table in the text the probability that a score is greater than the z-score of 2.00 is .0228. The probability of the other 105 students’ scores being higher scores than 2.00 is 2%. We can also see how well Case #10 and 44  performed relative to the mean score by subtracting the case score from the mean (0.5 - .0228 = 0.03). Hence, 3% of the scores (0.03 x 100 = 3%) were higher than Case 10 and 44.

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