Question 1

Using the data in Section A to answer this question.

(a) Use two sample independent t-test to assess whether there is difference in means of amount of body fat between different genders.

(i) State the null and alternative hypothesis.

(ii) Show the t-statistics output and identify the value of test statistics.

(iii) Find the critical value.

(iv) Interpret the result using (ii) and (iii).

(v) Identify the p value from the output in (ii).

(vi) Interpret the result using (v).

(vii) Draw conclusion based on (iv) and (vi).

(viii) Identify the confidence interval based on the output.

(b) The researcher wants to identify the quantitative variables which are significant predictors (root causes) of amount of body fat. Carry out hypothesis test using multiple linear regression. Your SPSS analysis result outputs, interpretation and conclusion should cover: Model Summary, ANOVA table and Coefficient of Regression table.

(i) For model summary: Show your SPSS outputs; Interpret the meaning of R-square.

(ii) For ANOVA table: Show your SPSS outputs; Write down the relevant hypotheses; State the conclusion to make.

(iii) For Coefficient of Regression table: Show your SPSS outputs; Write down the respective hypotheses; State the respective conclusion to make.

(iv) From your SPSS results obtained in part (a), rank in order of importance the three causes of amount of body fat.