10. [-/5 Points] DETAILS MENDSTATC4 7.E.054. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER According to the M&M website, the average percentage of brown M&M candies in a package of milk chocolate M&Ms is 13%. (This percentage varies, however, among the different types of packaged M&Ms.) Suppose you randomly select a package of milk chocolate M&Ms that contains 53 candles and determine the proportion of brown candles in the package. (a) What is the approximate distribution of the sample proportion of brown candies in a package that contains 53 candies? The distribution is approximated by a normal distribution with mean 0.13 and standard deviation 0.87. The distribution is binomial and cannot be approximated. The distribution is approximated by a normal distribution with mean 6.9 and standard deviation 689. The distribution is approximated by a normal distribution with mean 0.13 and standard deviation 0.0462. The distribution is approximated by a normal distribution with mean 13 and standard deviation 0.0462. (b) What is the probability that the sample proportion of brown candies is less than 25%? (Round your answer to four decimal places.) (c) What is the probability that the sample proportion exceeds 30%? (Round your answer to four decimal places.) (d) Within what range would you expect the sample proportion to lie about 95% of the time? (Round your answers to two decimal places.) lower limit upper limit Submit Answer 11. [-/4 Points] DETAILS MENDSTATC4 7.E.030.S. MY NOTES ASK YOUR TEACHER Suppose a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 109 and standard deviation equal to 14. USE SALT (a) Give the mean and the standard deviation of the sampling distribution of the sample mean x. mean standard deviation (b) Find the probability that x exceeds 114. (Round your answer to four decimal places.) (c) Find the probability that the sample mean deviates from the population mean = 109 by no more than 2. (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question. Submit Answer PRACTICE ANOTHER