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(13-10) If the height of 20-year-old American women is Normally distributed with a mean of 64 inches and a standard deviation of 3 inches, then the sampling distribution for the average height of 36 randomly chosen women will be: A. approximately Normal, with a mean of 64 inches and a standard deviation of 0.5 inch. B. exactly Normal, with a mean of 64 inches and a standard deviation of 0.5 inch. C. approximately Normal, with a mean of 64 inches and a standard deviation of 3 inches. D. exactly Normal, with a mean of 64 inches and a standard deviation of 3 inches. (13-11) Suppose a botanist grows many individually potted eggplants, all treated identically and arranged in groups of four pots on the greenhouse bench. After 30 days of growth, she measures the total leaf area X of each plant. Assume that the population distribution ofX is approximately Normal, with mean = 800 cm? and SD = 90 cm2. Which of the following is a true statement about the sampling distribution for the average of each group of four plants? A. Mean = 800 cm2 and SD = 90 cm2 B. Mean = 800 cm2 and SD = 9014 cm2 C. Mean = 800 cm2 and SD = 9012 cm2 D. Mean = 80014 cm2 and SD = 90/4 cm2 huh