I need some stats help!
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?
Based on the above research scenario, please answer the following questions:
Name the population: ____________________________________
Name the sample: ________________________________
What is the independent variable? ___________________
What is the dependent variable? ________________________
What is the appropriate hypothesis test? __________________
What two means are you comparing in this test? _____________________________
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:_____________