One of the assumptions we sometimes need to make when performing statistical inferences is that the response variable in the population has a Normal distribution. Is it possible to check that this assumption is satisfied? Group of answer choices No - we can't really check this assumption since we don't have the whole population, but the t distribution is robust to modest departures from Normality, so we can use it if a plot of the data has no major outliers. No - we can't really check this assumption since all data will look perfectly bell-shaped and symmetric, even if the population was not Normal. Yes - we can be absolutely sure the population was Normal if a plot of the data has no major outliers. Yes - we can be absolutely sure the population was Normal if a plot of the data looks roughly bell-shaped and symmetric. Yes - we can be absolutely sure the population was Normal if a plot of the data looks perfectly bell-shaped and symmetric.

Question

Mathematics

Deacon Ochoa

2 February, 04:24

One of the assumptions we sometimes need to make when performing statistical inferences is that the response variable in the population has a Normal distribution. Is it possible to check that this assumption is satisfied? Group of answer choices No - we can't really check this assumption since we don't have the whole population, but the t distribution is robust to modest departures from Normality, so we can use it if a plot of the data has no major outliers. No - we can't really check this assumption since all data will look perfectly bell-shaped and symmetric, even if the population was not Normal. Yes - we can be absolutely sure the population was Normal if a plot of the data has no major outliers. Yes - we can be absolutely sure the population was Normal if a plot of the data looks roughly bell-shaped and symmetric. Yes - we can be absolutely sure the population was Normal if a plot of the data looks perfectly bell-shaped and symmetric.

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Zayne Forbes · Answer 1

One of the assumptions we sometimes need to make when performing statistical inferences is that the response variable in the population has a Normal distribution. Is it possible to check that this assumption is satisfied?

Statement A is correct

Step-by-step explanation:

When performing statistical inferences, one of the assumptions often made is that the response variable in the population has a normal distribution.

Since we do not have the whole population, the above assumption cannot put to a check.

However, the t distribution is robust to modest departures from normality, thus it can be used, if there are no major outliers in the plot of the data.

Therefore, statement A is correct.