Hypothesis Test: Mean Content of Containers ≥ 3L

[princejan7]

Homework Statement

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

Homework Equations

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?

 

[haruspex]

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?

Which do you think?

 

[princejan7]

Which do you think?

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?

 

[LCKurtz]

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

 

[statdad]

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

 

[haruspex]

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

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

 

[statdad]

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

I was feeling unusually mellow when I made my comment.