# Hypothesis test

1. Apr 11, 2014

### princejan7

1. The problem statement, all variables and given/known data

"Is there sufficient evidence to support the claim that the mean content of all such containers is at least 3 litres?

2. Relevant equations

3. The attempt at a solution

I'm not sure what H0 and H1 will be

H0: The mean content is not at least 3L

H1: The mean content is at least 3L. So does this imply that u, the mean, is greater than or equal to 3 or is u lower than or equal to 3?

2. Apr 11, 2014

### haruspex

Which do you think?

3. Apr 12, 2014

### princejan7

The solution says that for Ho, u is greater than or equal to 3

isnt the null hypothesis supposed to be the opposite of the claim?

4. Apr 12, 2014

### LCKurtz

@ princejan7: Of the numbers 1,2,3,4,5, which ones would you say are at least 3?

5. Apr 13, 2014

That the stated answer has the null hypothesis as $H_0 \colon \mu \ge 3$, it is a very poorly worded question. Hypothesis testing does not gather data in support of the null hypothesis

6. Apr 13, 2014

### haruspex

I'd go further and say the stated answer is simply wrong.

7. Apr 13, 2014