Answer to Question #329133 in Statistics and Probability for erika miguel

Question

UNDERSTANDING HYPOTHESIS TESTING

 

I. Directions: State the null and alternative hypothesis in words and in symbols:

 

1. The school record claims that the mean score in Math of the incoming Grade 11 students is 18.5. The teacher wishes to find out if the claim is true. She tests if there is significant difference between the batch mean score and the score of students in her class.

2. The average number of calories of a low-calorie meal is at most 300.

 

3. A social worker wants to test (at  = 0.05) whether the average body mass index (BMI) of the pupils under feeding program is different from 8.2kg.

 

4. The average height of the college varsity basketball players in a certain university is 178cm.

 

5. A DTI representative wants to test at 99% confidence level whether the average content of a medium canned soda is less than 330 ml as indicated in the label.

 

Answer 1

1.

$H_0:\mu=18.5$, the mean score in Math of the incoming Grade 11 students is 18.5

$H_a:\mu\neq18.5$, the mean score in Math of the incoming Grade 11 students is not 18.5

2.

$H_0:\mu\leq 300$, the average number of calories of a low-calorie meal is at most 300

$H_a:\mu>300$, the average number of calories of a low-calorie meal is more than 300

3.

$H_0:\mu=8.2$, the average body mass index (BMI) of the pupils under feeding program is 8.2kg

$H_a:\mu\neq8.2$, the average body mass index (BMI) of the pupils under feeding program is not 8.2kg

4.

$H_0:\mu=178$, the average height of the college varsity basketball players in a certain university

is 178cm

$H_a:\mu=178$, the average height of the college varsity basketball players in a certain university

is not 178cm

5.

$H_0:\mu<330$, the average content of a medium canned soda is less than 330 ml as indicated in the label

$H_a:\mu\geq330$, the average content of a medium canned soda is more than 330 ml as indicated in the label