Question 1

(a) (i) Find the mean and standard deviation of the amount of body fat,

triceps skinfold thickness, thigh circumference and midarm circumference.

Show the output.

(ii) Interpret the output that you produced in part (b)(i).

(b) (i) Plot a Histogram and Box-plot by using the amount of body fat variable.

(ii) Describe the skewness of the distribution exhibited.

(iii) Plot a QQ-plot by using the amount of body fat variable.

(iv) By using only the QQ-plot, deduce whether the amount of body fat is normally distributed. Justify your answer.

(c) (i) Perform the normality test on the amount of body fat variable and

show the output.

(ii) State the conclusion of the test. Give your justification.