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Q: What does defining the sample population mean?
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Difference between calculating the sample mean and the population mean?

The same basic formula is used to calculate the sample or population mean. The sample mean is x bar and the population mean is mu. Add all the values in the sample or population and divide by the number of data values.


Why do most sample means differ somewhat from the population mean?

The sample is not a perfect representation of the population.


Why wont a sample statistics change from sample to sample?

The sample mean may differ from the population mean, especially for small samples.


What is the estimated population mean with a sample of 36 and a standard deviation of 0.03?

What is the sample mean?


When you draw a sample from a normal distribution what can you conclude about the sample distribution?

The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.

Related questions

What is population mean in statistics?

The population mean is the mean value of the entire population. Contrast this with sample mean, which is the mean value of a sample of the population.


Why is the sample mean an unbiased estimator of the population mean?

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.


Difference between calculating the sample mean and the population mean?

The same basic formula is used to calculate the sample or population mean. The sample mean is x bar and the population mean is mu. Add all the values in the sample or population and divide by the number of data values.


What is the difference between calculating the sample mean and the population mean?

You calculate the actual sample mean, and from that number, you then estimate the probable mean (or the range) of the population from which that sample was drawn.


What happens to the sample mean as the sample size increases?

With a good sample, the sample mean gets closer to the population mean.


What does it mean for a sample to representative of a population?

That the key characteristics of the population are reflected in the sample.


Is N the sample or population mean?

N is neither the sample or population mean. The letter N represents the population size while the small case letter n represents sample size. The symbol of sample mean is x̄ ,while the symbol for population mean is µ.


When using the distribution of sample mean to estimate the population mean what is the benefit of using larger sample sizes?

The variance decreases with a larger sample so that the sample mean is likely to be closer to the population mean.


What is the defining characteristic of a representative sample?

It will represent the population as a whole. This is a great idea if you the population is too large and you want to get a general idea of how everyone will think.


What is the the relationship between population and sample parameter and statistic?

The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.


Why do most sample means differ somewhat from the population mean?

The sample is not a perfect representation of the population.


Why wont a sample statistics change from sample to sample?

The sample mean may differ from the population mean, especially for small samples.