apply statistical methods and analysis. Unless otherwise stated,use 5% (.05) as your alpha level (cutoff for statisticalsignificance).


#1.  For each example, state whether the one-sample,two-independent-sample, or related-samples t test is mostappropriate. If it is a related-samples t test, indicate whetherthe test is a repeated-measures design or a matched-pairsdesign.     

A professor tests whether students sitting in the front rowscore higher on an exam than students sitting in the back row.

A graduate student selects a sample of 25 participants to testwhether the average time students attend to a task is greater than30 minutes.

A researcher matches right-handed and left-handed siblings totest whether right-handed siblings express greater emotionalintelligence than left-handed siblings.

A principal at a local school wants to know how much studentsgain from being in an honors class. He gives students in an honorsEnglish class a test prior to the school year and again at the endof the school year to measure how much students learned during theyear.

#2.

A random sample of 25 professional basketball players shows amean height of 6 feet, 5 inches with a 95% confidence interval of0.4 inches. Explain what this indicates.

If the sample were smaller, would the confidence interval becomesmaller or larger? Explain.

If you wanted a higher level of confidence (99%) would theconfidence interval become smaller or larger? Explain.