In which of the following scenarios would the distribution of the sample mean x-bar be normally distributed? check all that apply. we take repeated random samples of size 10 from a population of unknown shape. we take repeated random samples of size 15 from a population that is normally distributed. we take repeated random samples of size 50 from a population of unknown shape. we take repeated random samples of size 25 from a population that of unknown shape.

We take repeated random samples of size 10 from a population of unknown shape. INCORRECT, the sample isn't large enough to approximate the sample mean distribution to normal.

We take repeated random samples of size 15 from a population that is normally distributed. IS CORRECT, the sample mean will have a normal distribution.

We take repeated random samples of size 50 from a population of unknown shape. IS CORRECT, even though the variable has unknown distribution, the sample taken is large enough to approximate the sample mean distribution to normal.

We take repeated random samples of size 25 from a population that of unknown shape. INCORRECT, the sample isn't large enough to approximate the sample mean distribution to normal.

Step-by-step explanation:

Hello!

Remember that the sample mean will always have the same distribution as the study variable. So if you take a sample and measure a variable of interest (X), and this variable has a normal distribution, the calculated sample mean will also have a normal distribution:

We take repeated random samples of size 15 from a population that is normally distributed. IS CORRECT, the sample mean will have a normal distribution.

Next, to choose the correct answer you need to apply the Central Limit Theorem.

This theorem states that to any population of unknown distribution or known not normal distribution if the sample is large enough (most commonly accepted as "large enough samples" are those equal or greater than 30) the distribution of the sample mean tends to a normal distribution:

So, for the three premises below,

We take repeated random samples of size 10 from a population of unknown shape. INCORRECT, the sample isn't large enough to approximate the sample mean distribution to normal.

We take repeated random samples of size 50 from a population of unknown shape. IS CORRECT, even though the variable has unknown distribution, the sample taken is large enough to approximate the sample mean distribution to normal.

We take repeated random samples of size 25 from a population that of unknown shape. INCORRECT, the sample isn't large enough to approximate the sample mean distribution to normal.

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none cuz there are no "following statements" regarding the question

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !