Caleb earned a score of 38 on Exam A that had a mean of 76 and a standard deviation of 20. He is about to take Exam B that has a mean of 150 and a standard deviation of 40. How well must Caleb score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.
The formula to be used: z-score = ( score - mean ) / (standard deviation)
Exam A: you know the score, the mean, and the standard deviation; use these values to find
Exam B: you know the mean, the standard deviation, and the z-score (this is what you calculated for
Exam A. Use these numbers to find the score that is needed.