Hypothesis Testing Overview - Principles of Statistics | STAT 211, Exams of Statistics

Download Hypothesis Testing Overview - Principles of Statistics | STAT 211 and more Exams Statistics in PDF only on Docsity! Hypothesis Testing Overview I. One Sample Z Test 0 0:H p p II. One Sample T Test 0 0:H   III. Independent Samples T Test 0 1 2: 0H    IV. Paired T Test 0 : 0dH   V. ANOVA F Test 0 1 2 3:H     VI. Simple Linear Regression 0 1: 0H   VII. Chi-Square Test –both the explanatory and response variables are categorical. For each scenario below, determine the appropriate statistical test. Assume all conditions met. 1. Researchers want to test the claim that there is a difference in the typical bill length of two varieties of pigeon, ―American Giant Homer‖ pigeons and ―Tumbler‖ pigeons. 2. It is useful to be able to predict the volume of lumber from a tree. In a SRS of 30 trees, the circumference of each tree was measured at a height of 4 feet above the ground. Then each tree was cut down and the volume of lumber from the tree was recorded. 3. A researcher of preschool age children claims there is an association between gender and the type of toy (doll, truck, or puzzle) preferred by 4 year olds. She takes a SRS of 100 four year olds and determines the gender and toy preference for each. 4. A farmer wants to decide which of 2 pesticides (A or B) works best. He has 5 fields to devote to his study. He divides each field in ½. For each field, he random chooses one half to be sprayed with pesticide A while the other half gets sprayed with the pesticide B. He measures yield of each ½ field. 5. A nutritionist wants to test the claim that fewer than half of all older Americans get the recommended daily amount of calcium. Subjects in the study are asked whether or not they get at least 1200 mg per day (the recommended daily dosage for older adults). 6. Very few peregrine falcons nest more than 3 miles from a body of water. A wildlife biologist wants to see if the average nesting time for peregrine falcons living more than 3 miles from a body of water is greater than 4.3 - the known nesting time of falcons living within 3 miles of a body of water. 7. A dentist prescribes one of 4 brushing methods to a random sample of his patients—regular brushing, regular brushing with flossing, electric brushing, or electric brushing with flossing. After one year, for each group he records for each subject whether or not they developed any new cavities that year.