This is the problem; I got 180 as the new score. Is that right, or did I solve it wrong? If I did it wrongly, it would be helpful if it was shown how to do it the right way. Thanks

You have developed an exam to measure knowledge of sociology and administered it to a large number of people. On this exam, = 55 and = 6. You standardize the distribution so that the new mean and standard deviation are = 200 and = 10 If someone takes the exam and receives a score of 67 (before the score is transformed), what will this score be once it is transformed for the new (standardized) distribution