1. The Fizzy Pop Soda Company produces soda in bottles labeled 16 oz. A random sample of 50 bottles yielded a mean of 15.87 oz. and a standard deviation of 0.21 oz. At the 0.05 level of significance, test the claim that the mean volume of soda is 16 oz. There is sufficient evidence to warrant rejection of the claim that the mean amount of soda is 16 oz. per bottle. There is not sufficient evidence to warrant rejection of the claim that the mean amount of soda is 16 oz. per bottle. The sample data supports the claim that the mean amount of soda is 16 oz. per bottle. There is not sufficient sample evidence to support the claim that the mean amount of soda is 16 oz. per bottle.
2. The Fluffy Lump Cat Toy Company sells treats in packages marked 8 oz. each. My cat Oriole, who is my resident expert on treats feels that her packages have been short. A test on 12 random selected packages yielded a mean of 7.81 oz. and a standard deviation of 0.14 oz. At an 0.05 level of significance, test Orioles claim that she is being cheated out of treats. There is sufficient evidence to warrant rejection of the claim that Oriole is being cheated out of treats. There is not sufficient evidence to warrant rejection of the claim that Oriole is being cheated out of treats. The sample data supports the claim that Oriole is being cheated out of treats.. There is not sufficient sample evidence to support the claim that Oriole is being cheated out of treats.
3. The Ides of April Tax Preparation Service is a company which specializes in income tax preparation. There motto is "We ax the tax!" A random sample of 199 clients revealed 111 received refunds. At the 0.01 level of significance, test the claim that over half of their clients receive refunds. There is sufficient evidence to warrant rejection of the claim that over half of their clients receive refunds. There is not sufficient evidence to warrant rejection of the claim that over half of their clients receive refunds. The sample data supports the claim that over half of their clients receive refunds. There is not sufficient sample evidence to support the claim that over half of their clients receive refunds.
4. A randomly selected package of 48 plain M&M's yielded 24% of the M&M's were brown. At the 0.10 level of significance, test the claim that 30% of all plain M&M's are brown. (Claim based on M&M Mars corporate website.) There is sufficient evidence to warrant rejection of the claim that 30% of all plain M&M's are brown. There is not sufficient evidence to warrant rejection of the claim that 30% of all plain M&M's are brown. The sample data supports the claim that 30% of all plain M&M's are brown. There is not sufficient sample evidence to support the claim that 30% of all plain M&M's are brown.
5. Lord & Bloomies department store finances its own credit card, which pays 3% cash back on all purchases made at their store. They are considering reducing this percentage if the mean amount charged by customers is more than $100. A random sample of 15 card holders yielded a mean monthly expenditure of $104 and a standard deviation of $5.25. At the 0.05 level of significance, test the claim that the mean amount charged per month is $100. There is sufficient evidence to warrant rejection of the claim that the mean amount charged per month is $100. There is not sufficient evidence to warrant rejection of the claim that the mean amount charged per month is $100. The sample data supports the claim that the mean amount charged per month is $100. There is not sufficient sample
Copyright © 1999 Donna Tupper.
