Given the alternative hypothesis Ha: µ1 ≠ µ2 ≠ µ3 ≠ …….. µk. Which are the correct interpretations?*1 pointThe population mean is not same in all the groupsAll groups should be different from each otherPopulation means and hypothesized valueare equalThe population mean is same in all the groups

The correct interpretations for the alternative hypothesis Ha: µ1 ≠ µ2 ≠ µ3 ≠ …….. µk are:

1. The population mean is not the same in all the groups.
2. All groups should be different from each other.

The other two options are incorrect. The statement "Population means and hypothesized value are equal" is not correct because the alternative hypothesis is suggesting that the means are not equal. Similarly, "The population mean is same in all the groups" is also incorrect because the alternative hypothesis is suggesting that the means are different.

The correct interpretations for the alternative hypothesis Ha: µ1 ≠ µ2 ≠ µ3 ≠ …….. µk are:

1. The population mean is not the same in all the groups: This is correct because the alternative hypothesis is stating that not all population means are equal. There is at least one mean that is different.

2. All groups should be different from each other: This is also correct. The alternative hypothesis is suggesting that there is a difference somewhere among the groups. It doesn't necessarily mean that every group is different from every other group, but at least one group is different.

3. Population means and hypothesized value are equal: This is incorrect. The alternative hypothesis is suggesting that there is a difference, not equality.

4. The population mean is the same in all the groups: This is also incorrect. The alternative hypothesis is stating that not all population means are equal.