For problems 2-5 choose the appropriate statistical test for the research described (independent groups t-test, correlated groups t-test) and conduct the data analysis and/or interpretation of SPSS. Use on : .05 unless the problem species a different value. :1) Identify the appropriate statistical test (e.g., independent groups t-test, correlated groups ttest); [2 points] 1)) Write out the null and alternative hypotheses: [2 points] c) Write out the decision rule for rejecting Ho, including the critical value and its degrees of freedom; [3 points] d) Identify the observed value of the statistic (show your calculations), and include eta\"; [5 points] e) Provide a well-worded conclusion statement, including properly formatted statistical details. The resmh context must be used in the conclusion the example in each text chapter subsection headed, "Method of Presentation," as well as the lecture handouts should guide you in your conclusion writing. In experiments, assume that assignment of subjects to conditions is done randomly. [8 points] 5. A study of smoking cessation consisted of having 26 participants report their cravings for nicotine both aer using the nicotine patch for one week and again aer chewing nicotine gum for a second week. The average craving scores for both conditions are presented below. Higher scores indicate more cravings. Do cravings differ between the nicotine patch and chewing nicotine gum? [20 total points] (Hints: Do your calculations by hand. Note that you are given summary information to do either a correlated groups t-test gm an independent groups t-test. Only one provides the correct analysis, so think carefully! 1.) Patch Gum Difference Scores x=11.2=2.2 i=10.9=1.9 5:05 ,=1.s4 $52.90 a. Describe the statistical test to be done. [2 points] 1). State the null and alternative hypotheses. [2 points] c. What is the critical value of the test statistic? What is the decision rule for rejecting the null hypothesis? [3 points] CV: Reject H, if t d. Calculate the observed value of the test statistic and eta\". Show your work for the std. error, t, and etai. [5 points] e. Write out an APA Style conclusion about the research project, using the context of the study. [8 points]