The mean height for the population of adult American males is 69.0 inches, with a standard deviation of 2.8 inches. A random sample of 100 adult American males is taken. a) Find the standard error for the sampling distribution of the sample mean. (Use o (Round your answer to 3 decimal places.) o b) Find the probability that the sample mean height for this sample of 100 adult American males is less than 68.5 inches. (Round your answer to 4 decimal places. 2) 60% of all community college students identify as female. A random sample of 250 community college students is taken. a) Find the standard deviation for the sampling distribution of the sample proportion. p(1-P) .) (Round your answer to 3 decimal places.) (Use o b) Find the probability that more than 64% of this sample of 250 community college students identifies as female. (Round your answer to 4 decimal places.)