The discussion revolves around hypothesis testing related to the mean content of containers, specifically whether there is sufficient evidence to support the claim that the mean content is at least 3 litres.
Multiple interpretations of the null hypothesis are being explored, with some participants expressing confusion about its correct formulation. There is no explicit consensus on the definitions, and some participants have raised concerns about the wording of the original question.
Participants note that the question may be poorly worded, leading to confusion regarding the relationship between the hypotheses and the claim being tested.
Which do you think?princejan7 said: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 said:Which do you think?
I'd go further and say the stated answer is simply wrong.statdad said: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 said:I'd go further and say the stated answer is simply wrong.