1. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 131.4-cm and a standard deviation of 2.4-cm. For shipment, 20 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is greater than 131.6-cm. P(M > 131.6-cm) = Enter your answer as a number accurate to 4 decimal places.

2. We have a population that consists of the full height of a certain species of tree. Assume that the population has a normal distribution with =57.4 ft and =59.3ft. You intend to measure a random sample of n=128 What is the mean of the distribution of sample means? x= What is the standard deviation of the distribution of sample means (i.e., the standard error in estimating the mean)? (Report answer accurate to 2 decimal places.) x=

3. A population of values has a normal distribution with =219.3 and =38.1. You intend to draw a random sample of size n=212. What is the mean of the distribution of sample means? x= What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) x=