Activity 1
Directions: Formulate the appropriate null and alternative hypotheses of the given situations below. (In symbol form)
1. A school reports an average grade of 84 among its currently enrolled grade 11 students. Some parents believe that students' average is greater than 84 .
2. An electric company says that the average consumption of residents in Poblacion is \( 150 \mathrm{kWh} \) per month. But the barangay captain says their barangay consume less.
3. A health magazine claims that the average coffee consumptions of adults in a certain region is 5 cups a day. However, some believe that it is not true.
4. A doctor says that his patients with lung cancer consume an average of about 8 sticks per day. However, many believe that the doctor's estimate is not true.
5. An association of jeepney drivers in Santa Cruz claims that they earn \( \mathrm{Php} 2000 \) in average per day. A small survey results that jeepney drivers earn Php 3000.
Activity 2
Directions: Write the null and alternative hypotheses for the following situations.
1. A barangay official claim that the mean family income of his constituents is Php 20,000 but some group of residents believe that this is not true.
2. A public school claims that the mean weight of grade 7 is \( 30.5 \mathrm{~kg} \). But that is not what the division doctor believes.
3. A local clinic claims that the mean weight of the children aged \( 10-12 \) in their area is \( 48 \mathrm{~kg} \). A small survey was doneand it gives a result of \( 52 \mathrm{~kg} \).
4. A research teacher conducted a study on the no. of hours that students work on their research per week. Students claim that they work 24 hours per week. However, when thirty students were surveyed, it was found out that their average is 27.3 hours per week.
5. A certain carenderia owner, Aling Marta, claims that their average no. of customers per day is 150. However, another carenderia owner, AlingLicia believes that Aling Marta's claim it is 140 customers.
Guide Questions
1. What conclusion can you derive if you reject the null hypothesis?
2. Between the null and the alternative hypothesis, it is the null hypothesis that is subjected to a thorough test. Can you change the model and subject the alternative hypothesis to a thorough test? Explain your thinking-