Roxxy17olivago Roxxy17olivago Math Answered Assume that woman’s heights are normally distributed with a mean given by = 62.3 inches and a standard deviation σ = 1.8 inches.11. If a woman is randomly selected, find the probability that her height is between 61.7 inches and 62.7 inches?A. 20.75%B. 72%C. 21.64%D. 86.65%12. If a sample of 16 women is selected, what is the probability that the mean of the sample will be larger than 63.2 inches? A. 19.32%B. 15.56%C. 4.75%D. 2.28%13. If a sample of 16 women is selected, what is the probability that the mean of the sample will be less than 63.2 inches?A. 97.72%B. 41.56%C. 28.74%D. 16.67%14. Which is NOT true about the standard error?A. The standard error is also the sampling error.B. The standard error is the approximate standard deviation of a statistical sample population.C. The more data points involved in the calculations of the mean, the smaller the standard error tends to be.D. The standard error can include the variation between the calculated mean of the population and one which is considered known, or accepted as accurate.15. The number of total carbohydrates in an order of camote fries in a native restaurant is approximately normally distributed with a mean of 240 and a standard deviation of 20. What is the probability that a randomly selected order has at least 265 total carbohydrates? A. 54.13% B. 34.67% C. 21.56%D. 10.56%