ErrorWS_Solutions_2.pdf

If 11 or more are found to be defective the entire

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If 11 or more are found to be defective, the entire run of bulbs is discarded. Discarding a run costs the company \$28,000. H 0 : μ = 10 (Note: a better way to write the null is H 0 : μ ≤ 10, but if you’re confused use “ = ”) H a : μ > 10 Type I: Falsely claim 11 or more are defective Implication: wrongly costs company \$28,000 Type II: Falsely claim bulbs okay Implication: a few customers screwed Minimize Type I by setting alpha low : 01 . (remember, the company is making the decision, and very few customers will buy two types of bulbs and compare lifespans they’ll never really know) 6. Researchers at NGCSU are testing the political awareness of the undergraduate population. Due to the Corps of Cadets and an increased level of U. S. military activity, they feel that NGCSU students may be more aware of political policy than average college students. A political awareness survey that has been given nationwide is administered to 1,200 NGCSU students. The average score nationwide is 12. H 0 : μ NG = 12 H a : μ NG > 12 Type I: Falsely claim NGCSU more aware than national average Type II: Falsely claim NGCSU same as national average No problem with either implication, so note that n = 1,200 (very large sample). Set alpha low : 01 . 7. Crop researchers are testing the yield (bushels/acre) of a hybridized soy bean to see if it produces per acre than former strains (treatment vs. control). An increase of 2% could mean increased corporate profits of nearly \$3 million. Seventy-two plots are analyzed, half with the new hybrids, half with the former strains. H 0 : μ T = μ C H a : μ T > μ C Type I: Falsely claim hybrid yields more bushels/acre Implication: Company has good marketing campaign for lousy product

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