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Yes. You could have a biased sample. Its distribution would not necessarily match the distribution of the parent population.

Q: Is it possible for sample not normal to be from normal population?

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The population consists of every possible unit where a sample is a subset of the population. Note that population and sample need not refer to persons. For example, if studying biodiversity, the population could consist of plots of land.

The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.

Population Parameter

If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.

You are studying the sample because you want to find out information about the whole population. If the sample you have drawn from the population does not represent the population, you will find out about the sample but will not find out about the population.

Related questions

The population consists of every possible unit where a sample is a subset of the population. Note that population and sample need not refer to persons. For example, if studying biodiversity, the population could consist of plots of land.

The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.

A half.

Population Parameter

A Sample

If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.

A sample is a subset of the population.

You are studying the sample because you want to find out information about the whole population. If the sample you have drawn from the population does not represent the population, you will find out about the sample but will not find out about the population.

A sample is a subset of the population.

The sample is a subset of the population.

Sampling makes it possible to make assumptions about the larger population based on a small sample. This is beneficial in the study of population and demographics.

Data is neither sample nor population. Data are collected for attributes. These can be for a sample or a population.