Researchers designed an experiment to study the effects of caffeine withdrawal. They recruited 23 volunteers who were diagnosed as being caffeine-dependent to serve as subjects.Each subject was barred from coffee, colas, and other substances with caffeine for the duration of the experiment.During a two-day period, subjects took capsules containing their normal caffeine intake. During another two-day period, they took placebo capsules.The order in which subjects took caffeine and the placebo was randomized.At the end of each two-day period, a test for depression was given to all 23 subjects.Researchers wanted to know whether being deprived of caffeine would lead to an increase in symptoms of depression at a level of significance 0.03.

The data set is in the Google Spreadsheet. The higher scores show more symptoms of depression.

Data: Google Spreadsheet(https://docs.google.com/spreadsheets/d/1ywBnRezXnu3BEqCwfe2D-enDUlaq3LEsF-_LWiaL0Dk/edit#gid=0)

GeoGebra Spreadsheet(https://www.geogebra.org/classic#spreadsheet)

GeoGebra Probability Calculator(https://www.geogebra.org/classic#probability)

Carry out a test to investigate the researchers' questions.

Step 1:State theclaimand its opposite. Identify which is thenull hypothesisand which is thealternative hypothesis.

Step 2:Determinewhich hypothesis testyou will use andcheck conditions.

Step 3:If the conditions are met, perform thecalculations,andconduct the test.Include thetest statisticand theP-value.

Step 4:State the result andinterpretyour result in thecontextof the problem. In the conclusion, please make sure to address this question: why did researchers randomly assign the order in which subjects received placebo and caffeine?

Upload an image of your Geogebra work to illustrate all the steps need for this problem.