Good day, Educators. Short answers with no explanation is ok. ??

A. Convert the following raw scores (x) to a z-score. Show your computation/solution. Given: x= 30; s = 5; Find z corresponding to the raw scores below. 1) x = 37 2) x = 44 3) x =19 B. Convert the following z-scores to raw score. Given: *= 60; s = 8; Find x corresponding to the z-scores below. 1) z= 2 2) z = -1.5 3) z = 2.5 C. Find the area under the normal curve as indicated below. Draw the normal curve and shade the area indicated. 1. Between z = -2 and z = 2.5 2. Below z = -1.5 3. Above z = -2.5 D. Applications of Normal Distribution *To determine the percentage of cases, proportion or probability in a normal distribution within given limits. * To find limits in any normal distribution which include a given percentage of cases. Problem: 1. In a reading ability test, with a sample of 100 cases, the mean score is 40 and the standard deviation is 4. 2. Assuming normality, a) What is the percentage of the cases that fall between the mean and a score of 46? b) What is the probability that a score picked at random will be above a score 46? c) What is the probability that a score will be below 46? d) How many cases fall between scores of 42 and 48? To answer problem letter D number 1(a-d), first convert the raw scores 42, 46, and 48 to a z-score. Use the formula in conversion