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The sample variance is always smaller than the true value of the population variance is always larger than the true value of the population variance could be smaller equal to or?
Wiki User
∙ 13y ago
yes, it can be smaller, equal or larger to the true value of the population varience.
Wiki User
∙ 13y ago
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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.
How does a sample size impact the standard deviation?
If I take 10 items (a small sample) from a population and calculate the standard deviation, then I take 100 items (larger sample), and calculate the standard deviation, how will my statistics change? The smaller sample could have a higher, lower or about equal the standard deviation of the larger sample. It's also possible that the smaller sample could be, by chance, closer to the standard deviation of the population. However, A properly taken larger sample will, in general, be a more reliable estimate of the standard deviation of the population than a smaller one. There are mathematical equations to show this, that in the long run, larger samples provide better estimates. This is generally but not always true. If your population is changing as you are collecting data, then a very large sample may not be representative as it takes time to collect.
Is size 8 smaller or larger than a size 10?
smaller
Which is larger the mean or the median?
Either one can be larger (or smaller) than the other.
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.
Is the population of Michigan smaller or larger than kansas's population?
larger
How is community related to population?
A community is typically a smaller portion of a larger population. For instance, a city may have a larger population but be broken down into smaller communities.
The insect population smaller than the human population?
Insect population is larger.
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.
Is china larger or smaller than the US?
China has a much larger population than the United States. So China is larger when measured by population. The area of China is slightly smaller than the area of the US.
Can standard deviation be larger then its variance?
No. The standard deviation is the square root of the variance.
Does a random largely selected sample always give a better estimate of the population than a randomly selected sample?
A larger random sample will always give a better estimate of a population parameter than a smaller random sample.
Is the effective population size usually larger or smaller than the actual individuals in the population?
it is smaller because it is only the individuals who can breed
Why are moons always smaller then the planets they orbit?
A smaller body always orbits around a larger body rather than the other way around because the larger body has more gravity
How does the population of new york rank to other states?
In some states the population is larger, in some smaller.
When going from larger to smaller units of measurement do you always divide?
No, never.
Is Boston or San Antonio bigger as far as population?
Boston has a smaller city population (617,594) but a larger Metropoolitan population (4,522,858).
