A hog raiser in Isabela uses two methods of pig - farming: intensive pig - farming, where pigs

are housed indoors in group - housing or straw - lined sheds; and extensive pig - farming, where pigs

are allowed to wander around the farm or fence. Test the hypothesis whether or not the mean weight

of pigs in intensive farming is better than the extensive farming based from the mean weight of the pigs

in the sample data shown below. Use a one - tailed test at = 1%.

Farming Method Sample Mean Standard Deviation Sample Size

Intensive x1 = 79 kg. s1 = 6 kg. n1 = 45

Extensive x2 = 85 kg. s2 = 10 kg. n2 = 55

a. Formulate the null and alternative hypotheses. (4 pts)

b. Write the level of significance and sketch the curve of the test (5 points)

c. Write the critical value of the test statistic. (1 point)

d. Determine test - statistic /compute for z - value (4 points)

e. What is the correct decision and conclusion? (6 points)