Research Scenario #1 A researcher hypothesizes that zylex, a new antidepressant,

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 = 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:_____________

Explanation / Answer

Name the population: Residents of the State of New Jersey

Name the sample:16 participants, aged 19-35, are chosen from the State of New Jersey

What is the independent variable? zylex, a new antidepressant

What is the dependent variable? concentration

PS : We are directed to solve only the first question when multiple questions are posted or the first 4 parts when multiple parts of the same question are posted.

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