A research team is studying a new pain medication for patientssuffering from fibromyalgia. Patients suffering from chronic painas a result of fibromyalgia were divided into two categories:Treatment and Placebo. Patients in the treatment group wereinjected with the new drug while patients in the placebo group wereinjected with saline solution. Neither the patients, nor the healthcare practitioners admininstering the study knew who was receivingthe actual drug.
After two weeks the patients were asked to pick whichcategory (1-10) their pain abatement fit into,where 1 meant they were no longer in pain, while 10 meant they hadno change.
1.) Based on the experimental design of this study and the kindof data generated, which statistical test should be used todetermine if pain relief was independent of treatment group?
| | Two-sample t-test |
| | Chi Squared Test |
| | Paired t-test |
| | ANOVA |
| | Linear Regression with t-test for significance of slope |
| | One-sample t-test |
Researchers want to survey the mass of American alligators in acertain region. They want to maximize the efficiency of thiseffort, and get as many measurements as possible. Capturingalligators, putting them on a scale, and releasing them involvesrisk and time and subjects the animals to stress. They decide tosurvey alligators from the air. In this manner they can measure thelength of the animals. They want to use these measurements toestimate the mass of the alligators. They have access to data aboutlength and mass of captive alligators that they want to use topredict the mass of wild alligators.
2.) Which of the following best describes the alternatehypothesis for a t-test on the slope of the line relatingalligator length and weight?
| | The mass of alligators increases as a function of length. |
| | The slope of the line between length and mass is zero. |
| | The slope of the line describing the relationship between lengthand mass is not equal to zero. |
| | The mass of alligators decreases as a function of length |