Suppose student test scores for a nationwide standardized test have an unknown distribution with mean 259 and standard deviation 33 points. A sample of size n = 38 is randomly taken from the population and the mean is taken. What is the probability that the resulting mean is more than 264.3 points? z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 You may use a calculator or the portion of the z-table given above. 0 Round the final answer to four decimal places