nonstandard normal distribution

Statistics
Tutor: None Selected Time limit: 1 Day

The distribution of certain test scores is a nonstandard normal distribution with a mean of 60 and a standard deviation of 4. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z scores using z = (x - μ)/σ?     

Jul 3rd, 2015

Thank you for the opportunity to help you with your question!

After converting them to z , the mean score of z is 0

The standard deviation of z is 1.

This is because E(z) = E((x-mu)/sigma)= (E(x)-mu)/sigma = (60-60)/4=0

sigma( z ) = sigma ( (x-mu)/sigma)= sigma (x-mu) /sigma = 4/4 =1

Answer: mean of z =0

Standard deviation of z = 1 

Please let me know if you need any clarification. I'm always happy to answer your questions. If you need any further clarification, I will provide
Jul 3rd, 2015

If you have any query, I will provide. I want your complete satisfaction. I  want the best rating.

Wish you all the best.

Jul 3rd, 2015

I am in India. if you have any query, I will provide the answer. I will wait for some time. Then I will go to sleep

Jul 3rd, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Jul 3rd, 2015
...
Jul 3rd, 2015
Dec 3rd, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer