1. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 260.3-cm and a standard deviation of 1.8-cm. For shipment, 22 steel rods are bundled together. Find P₈₂, which is the average length separating the smallest 82% bundles from the largest 18% bundles. P₈₂ = -cm Enter your answer as a number accurate to 2 decimal place.

2. A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 215.8-cm and a standard deviation of 2.3-cm. For shipment, 25 steel rods are bundled together. Find the probability that the average length of a randomly selected bundle of steel rods is less than 215.4-cm. P(M < 215.4-cm) =

3. A population of values has a normal distribution with =215.9 and =14.1. You intend to draw a random sample of size n=129 Find P₄₂, which is the mean separating the bottom 42% means from the top 58% means. P₄₂ (for sample means) =