Question 1:

• In 1996 a total of 14,968,000 taxpayers in the United States filed their individual tax returns electronically. By the year 2004 the number increased to 66,290,000. What is the geometric mean annual increase for the period? Also estimate the number of taxpayers who filled tax returns electronically by the end of 2010.
• The Philadelphia office of Price Waterhouse Coopers LLP hired five accounting trainees this year. Their monthly starting salaries were: $2536, $2173, $2450, $2122, and $2672.
• Compute Population Mean
• Compute the Population Variance
• Compute the Mean Deviation
• The Pittsburgh office hired 6 trainees. Their mean monthly salary was $2550, and the standard deviation was $250. Compare the two groups.

Question 2:

A major airline wanted some information on those enrolled in their “frequent flyer” program. A sample of 48 members resulted in the following number of miles flown, to the nearest 1000 miles, by each participant.

22	29	32	38	39	41	42	43	43	43	44	44
45	45	46	46	46	47	50	51	52	54	54	55
56	57	58	59	60	61	61	63	63	64	64	67
69	70	70	70	71	71	72	73	74	76	78	88

• Develop a Box Plot for the number of miles flown.
• Does the distribution show any outliers?
• Summarize your finding in a brief report.
• Find the 4^th Decile.
• Find 70^th Percentile.

Question 3:

• A new sports car model has defective brakes 15 percent of the time and a defective steering mechanism 5 percent of the time. Let’s assume (and hope) that these problems occur independently. Of one or the other of these problems is present, the car is called a “lemon”. If both of these problems are present, the car is a “hazard”. Your instructor purchased one of these cars yesterday. What is the probability it is:
• A lemon?
• A hazard?
• The credit department of Lion’s Department Store in Anaheim, California, reported that 30 percent of their sales are cash or check, 30 percent are paid with a credit card and 40 percent with a debit card. Twenty percent of the cash or check purchases, 90 percent of the credit card purchases, and 60 percent of the debit card purchases are for more than $50. Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash or check?

Question 4:

• If you ask four strangers about their birthdays, what is the probability:
• All were born on Tuesday?
• All were born on different days of the week?
• None were born on Saturday?
• One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 percent of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?
• A pollster randomly selected 4 of 10 available people. How many different groups of 4 are selected?

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