The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of 40 and a standard deviation of 5. Assuming these raw scores form a normal distribution: What number represents the 83th percentile?

We have a distribution with a mean of ? = 35 and ? = 3.5. Find the raw score equivalents for the following z-scores: -3.01, -2.56, -1.21, 1.40, 2.77, 3.00

There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scalefrom 1 to 36. The distribution of ACT scores for more than 1 million students in a recent high school graduatingclass was roughly Normal with mean ?? = 20.8 and standard deviation ?? = 4.8. SAT scores are reported on ascale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class were roughlyNormal with mean ?? = 1026 and standard deviation ?? = 209.Sonya scores 1310 on the SAT. Jerome scores 29 on the ACT. Assuming that both tests measure the same thing,who has the higher score? Report the z-score for both student and make sure to mark these on an appropriatenormal curve.

A learner has the following scores  - an ACT composite score of 32  -an SAT mathematics score of 760  what are the z scores for the both data points? around to the nearest hundred