For problem 3 choose the appropriate statistical test for the research described and conduct the data analysis and interpretation. Use =.05 unless the problem specifies a different value. If you are given raw data, use SPSS to calculate the observed value of the test statistic; if you are given summary statistics, plug them into the appropriate formula to calculate the observed value of the test statistic. The steps to follow are listed below:

1. a)Identify the appropriate statistical test (e.g.,one sample t-test, independent groups t-test)
2. b)Write out the null and alternative hypotheses
3. c)Write out the decision rule for rejecting H0, including the critical value and its degrees of freedom
4. d)Identify the observed value of the statistic (include SPSS output or show your calculations as appropriate). For independent groups t-test, include eta2, the index of the strength of the relationship
5. e)Provide a well-worded conclusion statement. The research 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

#3: A professor in the psychology department atUnderdog Universitywondered if students in her department were as insecure as those at their crosstown rival school,Overachiever University, assumed. Consulting a copy of Graduate Student Facts, she discovered that the mean self-esteem score of graduate students on a certain self-esteem scale is 6 (based on a ten-point scale with 10 = high self-esteem). She picked a random sample of 20Underdog Universitystudents and gave them the self-esteem test. The score of each student in the sample is listed below. Using the appropriate statistical test, determine whether or not the self- esteem of theUnderdog Ustudents is lower than the self-esteem of all college students.

5, 7, 9, 5, 4, 7, 8, 6, 7, 5, 9, 6, 8, 7, 5, 6, 4, 2, 5, 6

a. Describe the statistical test to be done.

b. State the null and alternative hypotheses.

c. What is the critical value of the test statistic? What is the decision rule for rejecting the null hypothesis? Draw the picture of the rejection region.

CV: _________________________ Reject H0if t _____________________

d. Write out an conclusion about the research project. Use the context of the study in your answer.