two standardized tests, a and b, use very different scales of scores. the formula a = 40 * b+150…

two standardized tests, a and b, use very different scales of scores. the formula a = 40 * b+150 approximates the relationship between scores on the two tests. use the summary statistics for a sample of students who took test b to determine the summary statistics for equivalent scores on test a. lowest score = 20, mean = 25, median = 29, q3 = 32, standard deviation = 2, iqr = 6. find the summary statistics for equivalent scores on test a. lowest score =
Answer
Explanation:
Step1: Recall the formula for linear - transformation
We are given the formula $A = 40\times B+ 150$ to convert scores from test B to test A.
Step2: Find the lowest score on test A
The lowest score on test B is 20. Substitute $B = 20$ into the formula $A=40\times B + 150$. $A=40\times20+150$ $A = 800 + 150$ $A=950$
Answer:
950