Use the given information below to answer the questions. Show all your work. The heights of young men follow a Normal distribution with a mean of 175.1 cm and a standard deviation of 7.62 cm. The heights of young women follow a Normal distribution with a mean of 162.1 cm and a standard deviation of 6.35 cm. Let M = the height of a randomly selected young man W = the height of a randomly selected young woman Mean of men= 171.5 Standard deviation of men= 7.62 Mean of women= 162.1 Standard deviation of women= 6.35 Suppose we select independent SRSs of 25 young men and 15 young women. 3. Describe the shape, center, and spread of the sampling distribution of x - xw 4. Find the probability of getting a difference in sample means x - x, that's greater than or equal to 4 centimeters. 5. Should we be surprised if the sample mean height for the young women is more than 4 centimeters less than the sample mean height for the young men? Explain. O