Jonathan, a college business student wants to study how many pages of notes fellow classmates took during a semester for a finance class. Past data reveals that pages of notes for a finance college class has a mean of 95 , with standard deviation 25 pages. He plans to take a random sample of 30 such college students and will calculate the mean pages of notes they take to compare to the known pages of notes students take for a finance college class. 25 - 4.6. For these values, the mean and standard deviation of the sampling distribution of sample means for a sample of size 30 are: # = 95 and Of = 130 What is the probability that the sample mean for a sample of size 30 will be at least 99? You may use a calculator or the portion of the z-table given below. . Round your answer to the nearest percent N 0.00 0.01 0.02 1 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.6915 0.6950 0.6985 0.7019 0.7054 0. 7088 0.7123 0.7157 0.7190 0.7224 0.7257 0.7291 10.7324 0.7357 0.7389 0.7422 1 0.7454 0.7486 0.7517 0,7549 0.7580 0.7611 0.7642 10.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.805 1 0.8078 0.8106 0.8133 0.8159 0.8186 10.8212 0.8238 0.8264 0.8289 10.8315 0.8340 0.8365 0.8389 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0,8621 0.8643 0.8665 0.8686 0.8708 0.8729 10.8749 0.8770 0.8790 0.8810 0.8830 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 D.8997 0.9015