The results of the statistical and probability tests have an approximately normal distribution with a mean of 8.5 and a standard deviation of 0.8. Calculates the probability that the mean of the exams is less than 9.0, if a sample of 15 exams is taken, considering that no previous studies have been carried out.

Remember that you must use formula and consult the table:

X - H Z = O In Z 0.00 0,01 0,02 0,03 0.04 0.05 0,06 0,07 0,80 0,09 2,4 0,9918 0,9920 0,9922 0,9925 0,9927 0,9929 0,9931 0,9932 0,9934 0,9936 2,5 0,9938 0,994 0,9941 0,9943 0,9945 0,9946 0,9948 0,9949 0,9951 0,9952 2,6 0,9953 0,9955 0,9956 0,9957 0,9959 0,996 0,9961 0,9962 0,9963 0,9964