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Score A normal distribut μ = 10 and σ = 2. (a) Find the z score corresponding to x = 12. (b) Find the z score corresponding to x = 4. (c) Find the raw score corresponding to z = 1.5. (d) Find the raw score corresponding to z = -1.2.

Score A normal distribut μ = 10 and σ = 2. (a) Find the z score corresponding to x = 12. (b) Find the z score corresponding to x = 4. (c) Find the raw score corresponding to z = 1.5. (d) Find the raw score corresponding to z = -1.2.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer number 6. All parts!! Make sure to show work!!
### Lesson Contents #### 6. Basic Computation: z Score and Raw Score A normal distribution has \(\mu = 10\) and \(\sigma = 2\). (a) Find the \( z \) score corresponding to \( x = 12 \). (b) Find the \( z \) score corresponding to \( x = 4 \). (c) Find the raw score corresponding to \( z = 1.5 \). (d) Find the raw score corresponding to \( z = -1.2 \). #### 7. Critical Thinking Consider the following scores: (i) Score of 40 from a distribution with mean 50 and standard deviation 10 (ii) Score of 45 from a distribution with mean 50 and standard deviation 5 How do the two scores compare relative to their respective distributions? #### 8. Critical Thinking Raul received a score of 80 on a history test for which the class mean was 70 with standard deviation 10. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 2.5. On which test did he do better relative to the rest of the class? #### 9. \( z \) Scores: First Aid Course The college physical education department offered an advanced first aid course last semester. The scores on the comprehensive final exam were normally distributed, and the \( z \) scores for some of the students are shown below: - Robert, \( 1.10 \) - Juan, \( 1.70 \) - Haley, \( -2.00 \) - Joel, \( 0.00 \) - Jan, \( -0.80 \) - Linda, \( 1.60 \) (a) Which of these students scored above the mean? (b) Which of these students scored on the mean? (c) Which of these students scored below the mean? (d) If the mean score was \( \mu = 150 \) with standard deviation \( \sigma = 20 \), what was the final exam score for each student?
Transcribed Image Text:### Lesson Contents #### 6. Basic Computation: z Score and Raw Score A normal distribution has \(\mu = 10\) and \(\sigma = 2\). (a) Find the \( z \) score corresponding to \( x = 12 \). (b) Find the \( z \) score corresponding to \( x = 4 \). (c) Find the raw score corresponding to \( z = 1.5 \). (d) Find the raw score corresponding to \( z = -1.2 \). #### 7. Critical Thinking Consider the following scores: (i) Score of 40 from a distribution with mean 50 and standard deviation 10 (ii) Score of 45 from a distribution with mean 50 and standard deviation 5 How do the two scores compare relative to their respective distributions? #### 8. Critical Thinking Raul received a score of 80 on a history test for which the class mean was 70 with standard deviation 10. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 2.5. On which test did he do better relative to the rest of the class? #### 9. \( z \) Scores: First Aid Course The college physical education department offered an advanced first aid course last semester. The scores on the comprehensive final exam were normally distributed, and the \( z \) scores for some of the students are shown below: - Robert, \( 1.10 \) - Juan, \( 1.70 \) - Haley, \( -2.00 \) - Joel, \( 0.00 \) - Jan, \( -0.80 \) - Linda, \( 1.60 \) (a) Which of these students scored above the mean? (b) Which of these students scored on the mean? (c) Which of these students scored below the mean? (d) If the mean score was \( \mu = 150 \) with standard deviation \( \sigma = 20 \), what was the final exam score for each student?
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