Short answer type questions.
(a) A generic brand of the anti-histamine Diphenhydramine markets a capsule witha 50 milligram dose. The manufacturer is worried that the machine that fills thecapsules has come out of calibration and is no longer creating capsules with theappropriate dosage. Research Question: Does the data suggest that the populationmean dosage of this brand is different than 50 mg?Is this a one-tail test or two tail test? If one tail, state if it is right tail or left tail.
(b) After receiving complaints from McDonald’s customers in Japan about the amountof french fries being served, the on-line news magazine ”Rocket News” decided totest the actual of the fries served at a particular Japanese McDonald’s restaurant. According to the Rocket News article, the official weight standard set by McDonald’sof Japan is for a medium sized fries to weigh 120 grams. The publication weighedthe fries from 25 different medium fries they purchased and found the average weightof the fries in their sample to be 115 grams with variance of 100 grams. ResearchQuestion: Does the data suggest that the medium fries from this McDonald’s inJapan are underpacked? Useα=0.05.I computed TS correctly and it is Z = -2.5. Based upon the guidelines in 9.5, thisTS leads to rejectH0. Now suppose I changeα= 0.01, does the conclusion lead toacceptH0?
(c) About 10% of the human population is left-handed. A researcher at Penn Statespeculates that students in the College of Arts and Architecture are more likelyto be left-handed than people in the general population. A random sample of100 students in the College of Arts and Architecture is obtained and 18 of thesestudents were found to be left-handed. Research Question: Are artists more likelyto be left-handed than people in the general population?Is this a one-tail test or two tail test? If one tail, state if it is right tail or left tail.
(d) Sarah works for the Urban Pollination Project at UW. Five years ago, 25% ofurban gardens were visited by native bees, and Sarah would like to show that thisproportion is low now than it was five years ago. Suppose Sarah collects data andcalculates a p-value of 0.089.Should Sarah rejectH0withα= 0.05?
(e) Sarah works for the Urban Pollination Project at UW. Five years ago, 25% ofurban gardens were visited by native bees, and Sarah would like to show that thisproportion is different now than it was five years ago. In the previous part, Sarah’sp-value is 0.089. Does it change now or remains the same?