Directions: For problems 1840, suppose the population parameters for the continuous random variable X are 1! =3.24 and 0'2 = .0729 . Answer these questions assuming an SRS of size 81 was chosen from this population and its sample mean (i) was 3.2481. 18] What is the standard deviation of the distribution of X? a. .0009 b. .0081 e. .03 d. .0729 e. .27 19] What will be the mean of the distribution for the sample mean f ? a. .04 b. .36 c. .3609 d. 3.24- e. 3.2481 20] What will be the standard deviation of the distribution for the sample mean f 1' a. .0009 b. .0081 c. .03 d. .0729 e. .27 21] When applying the Empirical Rule in a normal distribution, the position that separates the bottom 97.5% of the dataset from the upper 2.5% is standard deviations the mean. a. 2, below b. l,below c. Labove d. 2, above e. 3,above 22] The ages of dollar bills in current circulation has an extremely skewed right distrib_ution with mean 8 years and variance 36 years. If an SRS of size 64 dollar bills is chosen, what X value would be positioned at the \"starred ticlmiark?' Assume the tickmarks shown are exactly one standard deviation apart from each other. a. 9.5 b. 17 c. 20 d. 80 e. None of these