In: Statistics and Probability
1. The U.S. Bureau of Labor Statistics reports that the average annual expenditure on food and drink for all families is $5,700 (Money, December 2003). Assume that annual expenditure on food and drink is normally distributed and that the standard deviation is $1,500. (50 points) (A) What is the range of expenditures of the 24.2% of families with the lowest annual spending on food and drink? (B) Assume total number of families is 500,000. How many families spend more than $7000 annually on food and drink? 2. The average base salary for a store manager (Wal-Mart) in Riverside, California, is $68,000, and the average base salary for a store manager (Wal-Mart) in Los Angeles, California, is $78,000. Assume that salaries are normally distributed, the standard deviation for store managers in Riverside is $20,000, and the standard deviation for store managers in Los Angles is $22,000. (75 points) (A) What is the probability that a store manager in Riverside has a base salary in excess of $100,000? (B) What is the probability that a store manager in Los Angeles has a base salary in excess of $100,000? (C) What is the probability that a store manager in Los Angeles has a base salary of less than $67,000? (D) How much would a store manager in Los Angeles have to make in order to have a higher salary than 98.21% of the store managers in Riverside? (E) Based the results from (A)-(D), if you are a job applicant for store manager position (Wal-Mart) in California, how would you negotiate annual salary using at least 200 words.