Name: Sampling Distribution A population of women has weight that is normally distributed with mean 140 pounds and standard deviation 10 pounds. Use this information to answer questions 6-10. 6) Label the boxes beneath the normal curve using the Empirical Rule with numeric values for M, u + 0, u + 20, and u + 30 delete 34% 34% 0.15% 13.5% 2.35% 13.5% 2.35% 0.15% - x return 7) Using the Empirical Rule, what is the probability that the weight, x, of a randomly selected woman from this shif population is between 120 and 160 pounds? Write your answer as a percentage. Write answers as a decimal with four decimal places. If one woman is randomly selected from this population, what is the probability that her weight, x, will be... 8) Less than 139 pounds? 9) Between 138 pounds and 141 pounds? 10) Over 139 pounds? A random sample of 100 women is taken from this same population that has a mean weight of 140 pounds and standard deviation 10 pounds. Use this information to answer questions 11-15. 1 1) Find the mean (My) of the sampling distribution of the sample mean. 12) Find the standard deviation (x) of the sampling distribution of the sample mean. Write answers as a decimal with four decimal places. What is the probability that the average weight, x, of the women in the sample will be... 13) Less than 139 pounds? 14) Between 138 pounds and 141 pounds? 15) Over 139 pounds