Formulating the appropriate Null and Alternative Hypothesis

1. Identify if the statement states a null or alternative hypothesis. A study was conducted to look at the average time students exercise. A researcher claimed that in average, students exercise less than 12 hours per month.

2. Identify if the statement states a null or alternative hypothesis. An English teacher wanted to test whether the mean reading speed of students is 540 words per minute. A sample of 10 students revealed a sample mean of 520 words per minute with a standard deviation of 5 words per minute. At 0.05 significance level, is the reading speed different from 540 words per minute?

3. Identify if the statement states a null or alternative hypothesis. Mrs. Queliste claims that her students scored 90 in their Mathematics quiz.

4. Identify if the statement states a null or alternative hypothesis. The average power consumption of air conditioner is at most 2,500 watts as claimed by the owner.

5. Identify if the statement states a null or alternative hypothesis. A bus company in Manila claims that the mean waiting time for a bus during rush hour is less than 12 minutes.

6. It is the assumption or statement which may or may not be true concerning the population of the study.

7. The test statistics used when the number of samples is less than 30.

8. It states that there is no difference between two variables in the study.

9. It is used to calculate the value that helps the researcher to decide whether to reject or not to reject the null hypothesis of the study.

10. A test used if the population is not normally distributed.

11. Identify the appropriate test statistic to be used in the problem. A sample of n=20 is selected from a normal population, mean = 53 and s= 10.

12. Identify the appropriate test statistic to be used in the problem. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 168 cm with standard deviation of 36cm. She took a random sample of 150 students and derived the average height of 159 cm.

13. Identify the appropriate test statistic to be used in the problem. Knowing from a previous study that the average of athletes is 60, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the average of student athletes, the adviser randomly selected 15 soccer players and found 80 as the average with standard deviation of 1.20.

14. Identify the appropriate test statistic to be used in the problem. A researcher randomly selected 25 batteries from the production line and tested them. The tested batteries had a mean life span of 270 hours with a standard deviation of 40 hours. Do we have enough evidence to suggest that the claim of an average of 280 hours is false?

15. Identify the appropriate test statistic to be used in the problem. A new energy-efficient lawn mower engine was developed by a well-known inventor. He claims that the engine will run continuously for 5 hours on a single gallon of regular gasoline. From his stock of 1,000 engines, the inventor selects a simple random sample of 50 engines for testing.