1. Explain how the ANOVA technique avoids the problem of the inflated probability of making Type I error that would arise using the alternative method of comparing groups two at a time using the t-test for independent groups. 2. Explain the major differences between analyzing a one-way ANOVA versus a two-factor ANOVA, and explain why factorial designs with two or more independent variables (or factors) can become very difficult to interpret.

1 - The price of a sandwich decreases from $6 to $4. What is the percent decrease in the price of the sandwich?A. 10%B. 20%C. 50%D. 33%2 - Billy remembers numbers using images that look somewhat like each number: 0 is a ball, 1 is a stick, 2 is a hanger, 3 is a comb, and 4 is a kite. Using Billy’s number images, Ryan remembered a 3-digit phone extension with this story: A person uses a hanger for his coat, then uses a stick to hit a ball. What number is Billy likely remembering?A. 201B. 210C. 310D. 1023 - A couple decides that Sophia will drive the first 3/5 of a trip and Toby the last 2/5. The entire trip is 500 miles long. How far will Sophia drive? A. 200 milesB. 300 milesC. 400 milesD. 100 miles4 - A rule of thumb in the fast-food restaurant business is a "4 times markup." This means the price of a food item should be 4 times the price of the ingredients used in making the item. If the cost of ingredients used in making a cheeseburger is $1.50, what should be the price of the cheeseburger?A. $5.50B. $6.00C. $2.67D. $4.005 - A person buys 32 one-liter bottles of soda bottles for a large company party. The store clerk offers cardboard carrying cases for the bottles and each case holds 8 bottles. Assuming each case would be filled and the person will not be carrying any loose bottles outside of a case, how many cases are needed?A. 8 casesB. 32 casesC. 4 casesD. 12 cases6 - Many gas stations give a discount for paying with cash instead of a credit card. William’s local gas station gives a discount of $0.05 per gallon. He fills his car with 20 gallons of gas. How much will William save by paying cash instead of credit card?A. $1.00B. $2.00C. $4.00D. $2.057 - A store in Iowa advertises that during their Labor Day sale, everything is 25% off, plus they will pay the sales tax. Mike buys shoes for $80 and socks for $5. Since there will be no tax added, what is the final price for Mike’s purchase?$65.00$63.75$85.00$68.008 - Pam takes her truck in for basic service. The service agent says a few extra repairs are also needed, so Pam adds the cost of those repairs in her head, rounding to the nearest $10. The costs are as follows:Wheel alignment: $110Transmission fluid flush: $75Cabin air filter: $23What is her total estimate for the repairs? Note: 4 or less: round down, 5 or more: round up. For example, 14 becomes 10, while 15 becomes 20.A. $220B. $190C. $210D.$2089 - Michele goes on a hike that will last 5 hours total. She brings 8 cups of water. After 1 hour, she has already drunk 2 cups of water. At that rate, how many cups of water would Michele need for all 5 hours?10 cups12 cups16 cups13 cups10 - The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher. How many cups of yogurt should Suzy add to the pitcher to maintain the 1/3 ratio?9 cups2 cups8 cups4 cups11 - Samuel, a county social worker, helps county residents who are struggling with different issues. He uses “c” to indicate client hours and “o” to indicate other work in his time log. Samuel logs the following hours for the week:Monday: 6 c, 4 oTuesday: 8 c, 2 oWednesday: 9 c, 1 oThursday: 7 c, 3 oFriday: Off What percent of his time did Samuel spend with clients on Thursday? 10%30%70%7%12 - Convert 2¾ to a decimal number.3.51.52.752.513 - Alex invests $1,000 in his company's stock. After a year, the value of Alex's stock has increased to $1,250. What rate of return has Alex received?25%125%20%80%14 - Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%. How many total hours can Zoey expect from the tablet on a full battery charge?4 hours8 hours6 hours2 hours15 - There are 15 people expected for a dinner. If 3 ounces of corn serve 1 person and 1 can of corn is 9 ounces, how many cans of corn should be bought for the dinner?4 cans12 cans5 cans6 cans16 - A person is holding two drill bits: one is 3/8 and one is 11/32. The person wants to first drill a hole using the smaller of the two bits. To decide which is smaller, the person expands 3/8 to 32nds. What is the expanded fraction?14/3211/329/3212/3217 - Marc is planning a party at a party hall. The party hall offers a meal option for $50 per person and that includes the hall rental for free. The hall-only rental option is $1,150, but that option allows an external caterer to provide the meal. Marc’s external caterer charges $27.50 per person. If he plans to invite 50 people, which is the cheaper option? A. The party hall’s meal option costs $3,900. The hall-only rental and external caterer option costs $2,525. The hall-only rental and external caterer meal option is cheaper.B. The party hall’s meal option costs $2,500. The hall-only rental and external caterer option costs $3,900. The party hall meal option is cheaper.C. The party hall’s meal option costs $2,500. The hall-only rental and external caterer option costs $2,525. The party hall’s meal option is cheaper.D. The party hall’s meal option costs $2,500. The hall-only rental and external caterer option costs $1,375. The hall-only rental and external caterer meal option is cheaper.18 - Consider a cookie recipe in which 1½ cups of chocolate chips are needed to make 25 cookies. Lara wants to double the number of cookies. How many cups of chocolate chips should she use?3 cups2 1/4 cups2 cups5 cups19 - The Bank of France sells U.S. dollars ($) at a rate of ($1.40)/(€1) and buys U.S. dollars at a rate of ($1.80)/(€1). At the beginning of a trip, Sandra exchanged $420 to get €233.33. At the end of the trip, she is left with €36, so she exchanges the €36 back to U.S. dollars. How many U.S. dollars will Sandra receive in exchange?$50.40$64.80$8$25.7120 - If 9 people will attend a lunch and 3 cans of juice should be provided per person, how many total cans of juice are needed?3 cans12 cans27 cans18 cans