SOLVE THE GIVEN PROBLEMS. SHOW THE STEP-BY-STEP SOLUTION. 1. Ruben's score in the National Achievement Test (NAT) in Math was 38. He wants to find out his relative standing on the said test so he...

SOLVE THE GIVEN PROBLEMS.
SHOW THE STEP-BY-STEP SOLUTION.

1. Ruben's score in the National Achievement Test (NAT) in Math was 38. He wants to find out his relative standing on the said test so he researched the average performance of the NAT-takers. He found out that the population mean score was 25 and the standard deviation was 3. What was Ruben's score in z-score?

What is the conclusion?

2. Javin has a towing  business. His son Michael would like to know the status of his father's business so he researched the ratings of towing businesses in the city. Given the mean, x̄ = 3, and the standard deviation, s = 0.5, help Michael find the z-value that corresponds to Javin's rating score of X = 4.5.

What is the conclusion?