stats homework help

Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n=25,;4=11,az=9 : q H (b) n=100,;4=7,a =4 (c) n=6,;4=113,0'2=1 Random samples of size n were selected from binomial populations with population parameters p given here. Find the mean and the standard deviation of the sampling distribution of the sample proportion 13 in each case. (Round your answers to four decimal places.) (a) n = 900, p = 0.3 mean standard deviation (b) n = 400,p = 0.1 mean standard deviation (c) n = 260, p = 0.2 mean standard deviation Calculate SE03) for n = 100 and these values of p. (Round your answers to four decimal places.) (a) p = 0.01 SE03) = w)p=om SE03) = (c) p = 0.40 (d) p = 0.50 (e) p = 0.60 (f) P = 0-90 (9) P = 0-99 (h) Plot SE03) versus p on graph paper and sketch a smooth curve through the points. For what value ofp is the standard deviation of the sampling distribution off) a maximum