A certain standardized test has math scores that are normally distributed with a mean score of 500 and a standard deviation of 50. On the axis above, do parts A-F. A. Sketch a normal curve. B. Label the axis with the correct letter (z, x, or f) to represent a normal distribution. C. Label the axis with the mean value (given in the problem). D. Label the axis with the other 6va|ues (the values that represent 1, 2, and 3 standard deviations away from the mean). E. Mark the value of 530 on the axis and write 530 under the axis. F. Shade the area under the curve that corresponds to "a bove 530\". G. Find the probability that a randomly selected score is above 530. Round to 4 decimal places. Show your work or what you enter into a calculator. A certain standardized test has math scores that are normally distributed with a mean score of 500 and a standard deviation of 50. A random sample of 25 math scores are collected. A. Find the sampling mean. B. Find the standard error of the mean. u); = HINT: Use the formula. (If: On the axis above, do parts C-G. C. Sketch a normal curve. D. Label the axis with the correct letter (2, x, or f) to represent a sampling distribution. E. Label the axis with the sampling mean (the value you found in #4A). F. Label the axis with the other 6va|ues (the values that represent 1, 2, and 3 standard errors of the mean away from the mean, the value you found in #43). (: These 6 numbers you put on the axis are NOT identical to the 6 numbers you put on the axis #3D.) G. Shade the area under the curve that corresponds to "a bove 530\". H. Find the probability that the sample mean is above 530. Round to 4 decimal places. Show your work or what you enter into a calculator