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A random sample of size n = 40 is selected from a binomial distribution with population proportion p = 0.25. (a) What will be the approximate shape of the sampling distribution off)? normal 0 skewed to the right 0 skewed to the left J (b) What will be the mean and standard deviation (or standard error) of the sampling distribution of 13? (Round your answers to four decimal places.) mean 0.25 4 standard deviation 0.068465 4 (c) Find the probability that the sample proportionf) is between 0.17 and 0.46. (Round your answer to four decimal places.) I: Suppose a random sample ofn = 16 observations is selected from a population that is normally distributed with mean equal to 109 and standard deviation equal to 13. la USE SALT (a) Give the mean and the standard deviation of the sampling distribution of the sample mean 2 mean 109 standard deviation 3.25 (b) Find the probability that )_( exceeds 113. (Round your answer to four decimal places.) (c) Find the probability that the sample mean deviates from the population mean [4 = 109 by no more than 4. (Round your answer to four decimal places.) Find a 90% confidence interval for a population mean u for these values. (Round your answers to three decimal places.) (a) n = 140, x = 0.83, s = 0.087 to (b) n = 80, x = 25.6, s2 = 3.97 to