Statistics help? (Z-Score and Normal Distribution)?

Posted on 2017-02-27 18:28:00 in Statistics by AMY

Hello, my teacher didn't explain some things well and I really need help. I'm having a hard time understanding. Please provide the answers and how you got them step by step. Thank you! 

1. A population of scores with μ = 73 and σ=6 is standardized to create a new population with μ = 50 and σ=10. The new value for a score of x = 67 is x = 

2. A population of scores has μ=44. In this population, a score of x = 40 corresponds to z = -1.00. What is the population standard deviation? 

3. A population with μ = 85 and σ=12 is transformed into z-scores. After the transformation, what are the values for the mean and standard deviation for the population of z-scores? 

4. The proportion of a normal distribution located between z = -.25 and z = -.75 is ____. (Make sure that you take your answer to four decimal places.) 

5. A population of scores with μ = 73 and σ=6 is standardized to create a new population with μ = 50 and σ=10. The new value for a score of x = 82 is x = ____

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