Professor Hardtack gave an exam with a mean score of 25 and a standard deviation of 6. After looking at the distribution, he felt the scores were too low and asked two colleagues for advice on how to...

Professor Hardtack gave an exam with a mean score of 25 and a standard deviation of 6. After looking at the distribution, he felt the scores were too low and asked two colleagues for advice on how to raise the mean to 75. Professor Senex suggested adding 50 to everyone’s score, while Professor Juven suggested tripling everyone’s score. Explain carefully the effects of these alternatives on the distribution of scores.