If the sample size is 36 and the population standard deviation is 11, then the standard deviation of the sampling distribution for means is 2. '12} True '32:? False 12 A larger sample size will result in a smaller sample standard deviation for the sample. O True O FalseThe symbol pl: represents the population mean of all possible sample means from samples of size n. C? False '12} True The symbol or: represents the population standard deviation of all possible sample means from samples of size n. '12} False '33-:3' True Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2.2 month. 32 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N[I || |} .. l] c. 1|i'i'hat is the probability that one randomly selected person learned to walk when the person was between 1118 and 11.5 months old? I I )' b. What is the distribution of ti? :3 ~ N{I d. For the 32 people, find the probability that the average age that they learned to walk is between 10.3 and11.5monthsold.I | e. For part d}, is the assumption that the distribution is normal necessary? (3' HoO Yes i. Find the IQFl for the ayerage first time walking age for groups of 32 people. [11 = I I months [13 = I I months IQR: I I months