Chapter 2, Problem 11PT

(a)

To determine

To compare:J’s and M’s performance using percentiles.

Answer to Problem 11PT

J performs well as compared to M.

Explanation of Solution

Given:

Summarize the given information in the following table:

	Presidential Award	National Award
	Jane	Matt	Jane	Matt
Qualifying Percentile	85%	85%	50%	50%
Qualifying Scores	39	50	30	40
Capabilities	40	40	40	40

Calculation:

From the above table, it is observed that J did more curl-ups than 85% of girls at her age group but M did more curl-ups than 50% of boys at his age group and less curl-up than 85% of boys at his age group. So J qualifies for both Presidential and National awards whereas Mqualifies for National Award only. Therefore Jane performs well as compared to Matt.

Conclusion:

Therefore, J qualifies for both Presidential and National awards whereas M qualifies for National Award only. J performs well as compared to M.

(b)

To determine

To find: which person has the higher standardized value ( z -score)

Answer to Problem 11PT

Therefore, the standardized score of J is larger than M.

Explanation of Solution

Calculation:

As the J's score have a higher percentile than M's scores, therefore, the standardized score of Jane is larger than Matt.

Conclusion:

Therefore, the standardized score of J is larger than M.