QUESTION FIVE A social research scholar has realized upon interactions with others that a person's self- esteem may be influenced by number of factors. After intensive reading, the researcher identifies optimism, life satisfaction and stress as the main factors among others that determine a person's self-esteem. All variables are measured on continuous scales. The objectives of the study were set out as follow: Objective l: To examine the association between self-esteem and the other variables. Objective 2: To determine whether there are differences in self-esteem levels between male and female groups Objective 3: To estimate the degree to which optimism, life satisfaction and stress influence self-esteem. Required: a) State the statistical tests appropriate to achieve objective 1, 2 and 3 4 marks b) State and explain two unique assumptions each for the tests in (a) 4 marks c) Identify dependent and independent variables for objective 3 4 marks d) State the appropriate central tendency and variability measures needed to describe self-esteem. 4 marks e) Based on the test output tables below for objective 2: 1) state the null and alternative hypotheses for the test 2 marks ii) draw your conclusion of the test based on table 2. taking into account the Levene's test. Write a brief report 7 marks Std. Error Mean Table 1: Group Statistics Std. Sex N Mean Deviation MALES 184 34.02 4.911 FEMALE 252 33.17 5.705 S 362 Total Self esteem 359