Q These questions are challenging; but, I promise that if you take your time, refer to the text and class notes, draw some pictures, and think things through, you have everything you need to answer them. 1. TWO RESEARCHERS WANT TO TEST THE SAME HYPOTHESIS. ONE OF THEM COLLECTS A SAMPLE OF 35 CASES, THE OTHER COLLECTS A SAMPLE OF 150. BOTH SAMPLES HAVE THE SAME MEAN. WHICH SAMPLE DO YOU EXPECT TO HAVE THE SMALLER STANDARD ERROR OF THE MEAN (SE)? The width of a confidence interval refers to the distance between the lower and upper confidence limits. For example, a confidence interval with limits (13, 17) is narrower than confidence interval (11,23). A confidence interval that is narrower suggests greater precision in your point estimate since there are less values that it can take (narrower range of population means). 2. OF THE TWO RESEARCHERS DESCRIBED IN QUESTION 1, WHICH WOULD YOU EXPECT TO HAVE A NARROWER CONFIDENCE INTERVAL? 3. HOW DO THE DISTRIBUTIONS UNDER THE NULL HYPOTHESIS USED TO TEST THE SAMPLE MEANS DIFFER FOR THESE TWO RESEARCHERS? 4. KNOWING THIS, IF THE TWO RESEARCHERS HAD THE SAME SAMPLE MEAN, AND THEY WERE BOTH USING ONE TAILED TEST WITH A CRITICAL Z SCORE OF 1.64, WHICH ONE IS MORE LIKELY TO BE ABLE TO REJECT THE NULL HYPOTHESIS?

View Related Questions