image 1.109 Are the NAEP mathematics scores approximately Normal? Refer to the previous exercise. For the NAEP mathematics scores for 12th-graders, the mean is 153 and the standard deviation is 34. Here are the reported percentiles:

Percentile Score
10% 110
25% 130
50% 154
75% 177
90% 197

Is the N(153,34) distribution a good approximation for the NAEP mathematics scores? Write a short report describing your methods and conclusions.