1. A population of values has a normal distribution with =88.2 and =8.8. You intend to draw a random sample of size n=190 Find P₈₆, which is the score separating the bottom 86% scores from the top 14% scores. P₈₆ (for single values) = Find P₈₆, which is the mean separating the bottom 86% means from the top 14% means. P₈₆ (for sample means) = Enter your answers as numbers accurate to 1 decimal place.

2. A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 184 lb and a standard deviation of 27 lb. You need to design an elevator that will safely carry 12 people. Assuming a worst case scenario of 12 male passengers, find the maximum total allowable weight if we want to a 0.975 probability that this maximum will not be exceeded when 12 males are randomly selected. The maximum weight for the elevator is pounds. Enter your answer rounded to the nearest whole number.