Statistics Homework. Multiple choice, one answer. Please provide excel formulas

Problems 18 - 24 refer to the following distribution: The heights of adult females are normally distributed with a mean of 63.8 inches and a standard deviation of 2.6 inches. 18. What is the z-score that corresponds to a height of 62 inches? A . -1.8 B. -0.69 C. 0.69 D. 1.8 19. What symmetric interval about the mean will contain approximately 95% of the heights? A. 56.0 to 71.6 B. 58.6 to 69.0 C. 57.3 to 70.3 D. 61.2 to 66.4 20. What is the probability of randomly selecting 1 female whose average height is less than 66 inches tall? A. 0.1987 B. 0.6914 C. 0.6778 D. 0.8013 21. Which height is at the 70" percentile (rounded to the nearest whole number)? A. 66 B. 67 C. 68 D. 65 22. What percentage of heights are between 59 inches and 63 inches? A. 15% B. 25% C. 35% D. 45% 23. Suppose random samples of 60 female heights are selected repeatedly from the population. What is the approximate mean and standard deviation for the sampling distribution of sample means? A. Mean = 63.8, SD = 2.6 C. Mean = 8.24, SD = 2.6 B. Mean = 8.24, SD = 0.34 D. Mean = 63.8, SD = 0.34 24. What is the probability of randomly selecting 60 females whose average height is at least 64 inches? A. 0.28 B. 0.72 C. 0.47 D. 0.53