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Tests of Significance II: Analyzing Statistical Data in Hypothesis Testing - Prof. Jule Co, Papers of Probability and Statistics

Practice problems on hypothesis testing and tests of significance. Topics include: determining if there is a significant decrease in support for increased funding for ethanol research, testing if a sample supports an expert's claim about health insurance, calculating the probability of having a certain number of students planning to work, and comparing prices between food lion and lowe's. These problems require the application of statistical concepts such as hypothesis testing, confidence intervals, and significance levels.

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Pre 2010

Uploaded on 08/19/2009

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Download Tests of Significance II: Analyzing Statistical Data in Hypothesis Testing - Prof. Jule Co and more Papers Probability and Statistics in PDF only on Docsity! MATH 109 Practice Sheet : Tests of Significance - II 1. According to The Pew Center for the People and the Press, in February 2008, 7% of the American public favored increased funding for ethanol research, down from 67% in February 2006. These results were based on surveys of about 1500 randomly selected U.S. adults. Did support for increased funding for ethanol research decrease from 2006 to 2007? 2. An expert in health care claims that 63% of all U.S. adults are in favor of guaranteed health insurance for all citizens even if it means increasing taxes to pay for it. You take a simple random sample of 275 adults and find that 162 are in favor of guaranteed health insurance for all citizens. Does your sample support the expert’s claim? 3. According to The UCLA Higher Education Research Institute, 49% of college students entering in the fall 2008 planned to get a job to meet expenses during college. If you take a simple random sample of 140 students who entered college in the fall of 2008, what is the chance that at least 65 of them have plans to get a job to help pay their expenses? 4. The Forsyth County Tax Office states that the average price of a single family home in Forsyth County is $165,000. During a six week period, 124 houses sold in Forsyth County sold with an average price of $162,000 and a standard deviation of $17000. Is the average price of a single family home in Forsyth County less than the County Tax Office estimates? 5. Repeat problem #4 if 24 houses sold in the six week period. 6. Food Lion advertises “Extra Low Prices”. The following items were priced in April 2004 at Food Lion and Lowe’s Foods in Kernersville. Does Food Lion have lower grocery prices than Lowe’s? Item Lowe’s Foods Food Lion Difference JIF peanut butter-creamy-18oz 1.95 1.89 Cheerios-15oz 2.99 2.95 Welch’s grape jelly-32oz 1.99 1.89 1 lb. 93% lean ground beef 2.99 2.99 Bunny bread-Old Fashion-20oz 1.50 1.99 1 doz grade A large eggs 1.55 1.52 24 slices Kraft Am. cheese singles 3.39 2.99 Campbell’s chicken noodle soup-10.75oz 0.63 0.55 Peanut M&M’s-14oz 2.79 2.69 Breyer’s Vanilla Ice Cream-half gallon 4.99 4.99 12 pk Dr. Pepper 4.19 4.29 Bottled water-6 pk Dasani 12oz 2.69 2.89 Heinz ketsup-32 oz Easy Squeeze 2.49 2.39 Kellogg’s Poptarts-8count 1.89 1.75 Paper towels-single pack Bounty 1.79 1.69 Oreos-1 lb 2 oz-original 3.59 3.39 Betty Crocker cake mix-18.25 oz 1.55 1.29 DelMonte sliced pineapple-15.25 oz can 0.89 0.79 Red Delicious apples-1 lb 1.39 1.49 Green Giant Nibblers-6 half ears frozen 1.59 1.79 Aunt Jemima Original syrup-24 oz 3.05 2.89 Sugar- 5 lb Dixie Crystal 2.05 1.99 Baking potatoes-1 lb 0.79 0.99 Yellow onion-1 lb 1.19 0.99 Tyson frozen chicken tenders-12oz 2.99 2.89 Kraft macaroni & cheese-7.25 oz-original 0.83 0.79 Tide-100 oz 6.79 6.49 Maxwell House coffee-1 lb 2.19 2.25 LeSeur baby peas-15 oz 0.83 0.85 DiGiorno pizza-12” rising crust 4-cheese 5.79 5.99
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