A group of psychology students in Research Methods are studying sleep quality and cell phone usage amongst their peers. They’ve been using the Pittsburgh Sleep Index Questionnaires to measure quality...

A group of psychology students in Research Methods are studying sleep quality and cell phone usage amongst their peers. They’ve been using the Pittsburgh Sleep Index Questionnaires to measure quality of sleep. They want to find out what raw Index score sits 2 standard deviations above the mean. (They want to count the number in their sample who sleep an abnormally long time. In psychology, values more than approximately 2 SD from the mean have conventionally been considered abnormal.) In the population of interest, the mean and standard deviation of the raw index scores is 62 and 9, respectively.

Find the X value that corresponds to z = 2.0.

Please round your answer to the nearest one, e.g., 44.