Maggie attends Happy Days preschool. The preschool assessed the children’s motor skills (i.e. the ability to tie their shoes), social skills (i.e. sharing and saying please) and school readiness (i.e. knowledge of ABC’s & basic counting ability). The motor skills test has a class mean of 9.50 with a standard deviation of 1.25. The social skills test has a class mean of 10.25 with a standard deviation of 1.10. The school readiness test has a class mean of 11.43 with a standard deviation of 1.30. For each test higher score means better performance of that skill. Maggie’s parents are given a report card that indicate Maggie’s Z scores on each test which are motor skills = -0.72, social skills = 1.21 & school readiness = 0.00.   19. What percentage of her class scored lower than Maggie on the motor skills test? 20. What percentage of her class scored higher than Maggie on the school readiness test? 21. For which skill was the class average highest

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Maggie attends Happy Days preschool. The preschool assessed the children’s motor skills (i.e. the ability to tie their shoes), social skills (i.e. sharing and saying please) and school readiness (i.e. knowledge of ABC’s & basic counting ability). The motor skills test has a class mean of 9.50 with a standard deviation of 1.25. The social skills test has a class mean of 10.25 with a standard deviation of 1.10. The school readiness test has a class mean of 11.43 with a standard deviation of 1.30. For each test higher score means better performance of that skill. Maggie’s parents are given a report card that indicate Maggie’s Z scores on each test which are motor skills = -0.72, social skills = 1.21 & school readiness = 0.00.

 

19. What percentage of her class scored lower than Maggie on the motor skills test?

20. What percentage of her class scored higher than Maggie on the school readiness test?

21. For which skill was the class average highest?

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