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 [itex] H_0 \colon \mu \ge 3 [/itex], 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.
A hypothesis test is a statistical method used to determine whether there is enough evidence to reject or accept a null hypothesis. In this case, we are testing whether the mean content of containers is equal to or greater than 3L.
We perform a hypothesis test to make a decision about a population parameter, such as the mean content of containers. This helps us understand whether our sample data is representative of the entire population or if there is a significant difference between our sample and the population.
A null hypothesis is a statement that assumes there is no significant difference between the sample and the population. In this hypothesis test, the null hypothesis would be that the mean content of containers is equal to 3L.
An alternative hypothesis is a statement that assumes there is a significant difference between the sample and the population. In this hypothesis test, the alternative hypothesis would be that the mean content of containers is greater than 3L.
In a hypothesis test, we calculate a p-value, which represents the probability that the observed results could have occurred by chance if the null hypothesis were true. If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and accept the alternative hypothesis as significant. If the p-value is greater than the significance level, we fail to reject the null hypothesis.