STATISTICS AND PROBABILITY QUARTER 4 MODULE 1: THE HYPOTHESES AND TEST STATISTIC ANSWER SHEET NAME: Track/Section: ACTIVITY. FOR EACH PROBLEM BELOW, a) formulate the null and alternative hypotheses; b) Determine what test statistic to use; c) Calculate the test statistic value. 1. Data from the school clinic shows that the average height of grade 11 students is 160 cm with a population standard deviation of 1.5. A sample of 50 students has an average height of 164 cm. Test the hypothesis that the average heigh is 160 cm. 2. A teacher claims that the average grade of students enrolled in Statistics is 88. A sample of 25 Statistics students has an average of 86 and standard deviation of 4. Is there enough evidence to reject the teacher's claim? 3. A researcher is conducting a study on the average time consumed by HS students in playing mobile games. A sample of 50 HS students has an average of 200 minutes. Test the null hypothesis that the average time consumed by students is 240 minutes with a population standard deviation of 20. 4. XY company claims that their lightbulb can last for 6,000 hours. 24 samples were tested, and the average lifespan is 5600 hours with a standard deviation of 300. Is there a convincing evidence that the XY lightbulbs cannot last for 6,000 hours