Activity 1:

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)

Activity 2

The CEO of a large electric utility claims that at least 80 percent of his 1,000,000 customers are

very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100

customers, using simple random sampling. Among the sampled customers, 73% say they are very

satisfied. Based on these findings, can we reject the CEO's claim that 80% of the customers are very

satisfied? Use = 0.05 level of significance.

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)

Activity 3.

Suppose that Acme Drug Company develops a new drug, designed to prevent colds. The company

states that the drug is equally effective for men and women. To test his claim, they choose a simple

random sample of 100 women and 200 men from a population of 100,000 volunteers. At the end of the

study, 38 percent of the women caught a cold while 51% of the men caught a cold. Based on these

findings, can we reject the company's claim that the drug is equally effective for men and women? Use a 0.05 level of significance. (Hint: Use two - tailed test)

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)