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 For these values the mean and standard deviation of the sampling distribution of sample means for a sample of size 30 are 95 and 4 6 25 30 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 Z 0 5 0 6 0 7 0 8 0 9 1 0 1 1 1 2 0 00 0 01 0 02 0 03 0 06 0 07 0 08 0 05 0 7088 0 7123 0 6915 0 6950 0 6985 0 7019 0 7157 0 7190 0 04 0 7054 0 7389 0 7704 0 7734 0 7764 0 7257 0 7291 0 7324 0 7357 0 7422 0 7454 0 7486 0 7517 0 7580 0 7611 0 7642 0 7673 0 7794 0 7823 0 7881 0 7910 0 7939 0 7967 0 8078 0 8106 0 7995 0 8023 0 8051 0 8289 0 8159 0 8186 0 8212 0 8238 0 8264 0 8315 0 8340 0 8365 0 8413 0 8438 0 8461 0 8485 0 8508 0 8531 0 8554 0 8577 0 8599 0 8643 0 8665 0 8686 0 8708 0 8729 0 8749 0 8770 0 8790 0 8810 0 8849 0 8869 0 8888 0 8907 0 8925 0 8944 0 8962 0 8980 0 8997 0 09 0 7224 0 7549 0 7852 0 8133 0 8389 0 8621 0 8830 0 9015