Question

Research Scenario #1

A researcher hypothesizes that zylex, a new antidepressant, will affect concentration. It is known that scores on a standardized concentration test is normally distributed with a µ= 50 and a σ= 12. A random sample of n=16 participants, aged 19-35, are chosen from the State of New Jersey. The sample is put on a six month dosage plan of zylex. After six months, all the participants are given a standardized concentration test. The researcher records the data and calculates a sample mean of M=56. Are the data sufficient to conclude that the drug, zylex, does have an effect on concentration?

1. What is the appropriate hypothesis test? __________________

2. What two means are you comparing in this test? _____________________________

3. Please calculate the appropriate hypothesis test using all four steps:

Step 1:

Step 2:

Step 3:

Step 4: _______________________________

Write the statistical statement for your results: __________________________________

Interpret your results (relating back to the hypothesis): _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Is there a probability of Type I error? Yes ______ No ______

If yes, what is the probability of a Type I error? ________

Is yes, how could you have decreased that probability? __________________________________

Is there a probability of Type II error? Yes_____ No______

If it is appropriate, please calculate effect size:   Answer:_____________

Answer 1