Hazel and Luna are in different sections of MTH 134, They both took Test 1 and their instructors indicated that in each section, the scores fell into a normal distribution. Hazel made a score of 93 points and Luna made a score of 68 points. In Hazel's section, the Test 1 scores had a mean of 80 and a standard deviation of 8. In Luna's section, the mean was 40 with a standard deviation of 15. Use the Empirical Rule to determine which student did "better" and why. v did better because

Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 9. He received a score of 75 on a biology test for which the class mean was 70 with standard deviation 4.  On which test did he do better relative to the rest of the class

I'm a bit confused about how to solve this (any help is appreciated)

Paint used to paint lines on roads must reflect enough light to be clearly visible at night. Researchers have 2 new types of paints they want to test – paint type A and paint type B. For each paint type, they tested if there was statistical evidence the average reflectometer reading is greater than 35. To test each type of paint, they used 15 paint samples. Further, suppose the standard deviation is the same for both types of paints. The sample mean for paint type A was 39 and the sample mean for paint type B was 41.5. For both statistical tests, the significance level is set to .05.Which of the following is true? If they fail to reject the null hypothesis for paint type A we can conclude there is statistical evidence the average reflectometer for type A paint is 35. The p-value for the type B paint test is smaller.     They rejected the null hypothesis for both paint types. Exactly two of the statements above are true. None are true.