\f4. Display your relative frequency table and compare the percentages of observations to those in the Empirical Rule. 15 points -4 to -3 --- Within 1 Standard '3 to '2 Deviation of the Mean _2 to _1 {E z-score is between 68% -1 and 1) -1 to 0 Within 2 Standard 0 to 1 Deviations of the Mean_ lie. zscore is between 95% 1 to 2 -2 and 2} 2 to 3 Within 3 Standard 3 to 4 Deviations of the Mean 99.7% {E z-score is between Total -3 and 3) 5. Knowing this data is approximately normally distributed, find the probability that a z-score randomly selected from the distribution is less than -1.5. Show your work. 5 points 6. Knowing this data is approximately normally distributed, use any method to find the probability that a male Math 107 student is taller than '72 inches. Show your work. 10 points 7. The tallest 5% ofmale Math 107 are taller than what height? Use any method. Show your work. 1 0 points . What was your mean and standard deviation for male 107 students' heights? 15 points a. Mean: b. Standard Deviation: c. Explain how you used the mean and standard deviation to calculate the z-score in cell C2. . Find the z-score for the given students and explain what the z-score value tells us about each student and their relationship to the mean (HINT: Do not give exact probabilities] 20 points a. A 65-inch male student b. A 78-inch male student . Create a histogram based on the frequency table and explain how the shape helps you to know the data is approximately normally distributed. 15 points a. Histogram: b. What features does this histogram have that helps you determine it is approximately normally distributed