In 1989 it was reported that the ignition keys for the 1988 Dodge Caravans were made from a single blank that had five cuts on it. Each cut was made at one out of five possible levels. In 1988, assume there were 420,000 Dodge Caravans sold in the United States

5. How many different possible keys can be made from the same blank 6. How many different 1988 Dodge Caravans could any one key start

Look at the ignition key for your car and count the number of cuts on it. Assume that the cuts are made at one of any five possible levels. Most car companies use one key blank for all their makes and models of cars

SMART PEOPLE:

Assume you are thinking about starting a Mensa chapter in your hometown, which has a population of about 10,000 people. You need to know how many people would qualify for Mensa, which requires an IQ of at least 130. You realize that IQ is normally distributed with a mean of 100 and a standard deviation of 15. Complete the following: 1. Find the approximate number of people in your hometown who are eligible for Mensa 2. Is it reasonable to continue your quest for a Mensa chapter in your hometown 3. How could you proceed to find out how many of the eligible people would actually join the new chapter? Be specific about your methods of gathering data 4. What would be the minimum IQ score needed if you wanted to start an Ultra-Mensa club that included only the top 1% of IQ scores

MAKING DECISIONS WITH CONFIDENCE INTERVALS:

Assume you work for Kimberly Clark Corporation, the makers of Kleenex. The job you are presently working on requires you to decide how many Kleenexes are to be put in the new automobile glove compartment boxes. Complete the following: 1. How will you decide on a reasonable number of Kleenexes to put in the box 2. When do people usually need Kleenexes 3. What type of data collection technique would you use 4. Assume you found out that, from your sample of 85 people, an average (mean) of about 57 Kleenexes is used throughout the duration of a cold, with a population standard deviation of 15. Use a confidence interval to help you decide how many Kleenexes will go in the boxes. 5. Explain how you decided how many Kleenexes will go in the boxes