"Underline the correct word (in the parenthesis) to complete the sentence. 4) When normal scores are transformed into z-scores, the resulting z-scores will have a mean of (0, 1 ). 5) For a normal random variable, the probability of observing a value less than or equal to its mean is (0,0.5, 1)."

Luciano Webster

Luciano Webster

Answered question

2022-07-19

Underline the correct word (in the parenthesis) to complete the sentence.
4) When normal scores are transformed into z-scores, the resulting z-scores will have a mean of (0, 1 ).
5) For a normal random variable, the probability of observing a value less than or equal to its mean is (0,0.5, 1).

Answer & Explanation

Anaya Gregory

Anaya Gregory

Beginner2022-07-20Added 14 answers

Our aim is to find the correct sentence
4. We have ,
Z = X μ σ N ( μ = 0 , σ = 1 )
When normal scores are transformed into Z-scores , the resulting Z-scores will have a mean is 0
5. Let, X N ( μ , σ )
Now,
P ( X μ ) = P ( X μ σ μ μ σ ) = P ( Z 0.00 ) = Φ ( 0.00 ) = 0.5
For a normal random variable , the probability of observing a value less than or equal to its mean is 0.5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?