It is claimed that the average weight of 2-year-old-male children in a certain country is less than 13.8 kg. A random sample of 5 such children is selected, and their weight (in kg) are as follows: 13.2, 14.1, 12.8, 12.0, 13.0 using a significance level of $\alpha = 0.10$. $s = \sqrt{\sum(x_i - \bar{x})^2 / (n-1)}$
a) State the null and alternative hypothesis. (5pt)
b) Find the critical value and compute the test statistics. Draw the graph roughly. (10pts)
c) What would be your decision on regarding this claim, at a $\alpha = 0.10$ significance level and interpret your result. (10pts)