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What else can I help you with?
What is sample and sample size means?
k
What happens to the distribution of the sample means if the sample size is increased?
the means does not change
The distribution of sample means is not always a normal distribution Under what circumstances will the distribution of sample means not be normal?
The distribution of sample means will not be normal if the number of samples does not reach 30.
Does the distribution of sample means have a standard deviation that increases with the sample size?
No, it is not.
The sum of the differences between sample observations and sample means is what?
always zero
Is it possible for two sample sets to have the same range but different means?
could a sample set have the same range but different means
What is the mean of the sample means that is normally distributed with a mean of 10 standard deviation of 2 and a sample size f 25?
The mean of the sample means, also known as the expected value of the sampling distribution of the sample mean, is equal to the population mean. In this case, since the population mean is 10, the mean of the sample means is also 10. The standard deviation of the sample means, or the standard error, would be the population standard deviation divided by the square root of the sample size, which is ( \frac{2}{\sqrt{25}} = 0.4 ).
Are sample means more variable than individual observations Are sample means more skewed than individual observations?
No, to both questions.
Can one treat sample means as a normal distribution?
Not necessarily. It needs to be a random sample from independent identically distributed variables. Although that requirement can be relaxed, the result will be that the sample means will diverge from the Normal distribution.
Why do most sample means differ somewhat from the population mean?
The sample is not a perfect representation of the population.
If a half life is 2000 years will a large amount of this radioactive sample be around for a long time?
Half-life of 2000 years means that after 2000 years, half of the sample will decay - so of course the other half of the sample is still around.Half-life of 2000 years means that after 2000 years, half of the sample will decay - so of course the other half of the sample is still around.Half-life of 2000 years means that after 2000 years, half of the sample will decay - so of course the other half of the sample is still around.Half-life of 2000 years means that after 2000 years, half of the sample will decay - so of course the other half of the sample is still around.
What is the standard deviation of the sample means called?
The standard deviation of the sample means is called the standard error of the mean (SEM). It quantifies the variability of sample means around the population mean and is calculated by dividing the population standard deviation by the square root of the sample size. The SEM decreases as the sample size increases, reflecting improved estimates of the population mean with larger samples.
