Consider a sampling distribution with p = 0.14 and samples of size n each. using the appropriate formulas, find the mean and the standard deviation of the sampling distribution of the sample proportion. a. for a random sample of size n = 5000. b. for a random sample of size n = 1000. c. for a random sample of size n = 250. a. the mean is 0.14. the standard deviation is 0.0049. (round to four decimal places as needed.) b. the mean is 0.14. the standard deviation is 0.0110. (round to four decimal places as needed.) c. the mean is 0.14. the standard deviation is 0.0219. (round to four decimal places as needed.) summarize the effect of the sample size on the size of the standard deviation. a. as the sample size gets smaller, the standard deviation gets smaller. b. as the sample size gets larger, the standard deviation gets smaller. your answer is correct. c. standard deviation does not depend on the size of the sample.