0
the larger you r sample size the better your estimate. imagine take the height of person to estimate the average high of an adult male. would one person's height be a good estimate, or would taking the average height of 100, or 5000 adult males will produce a better estimate?
What else can I help you with?
As the sample size increases the effect of an extreme value on the sample mean becomes smaller.?
yes
How does one calculate the standard error of the sample mean?
Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.
You are using the t distribution to estimate or test the mean of a sample from a single population If the sample size is 25 then the degrees of freedom are?
There are 24 df.
How does sample size effect the test statistic?
The larger the sample size, the more accurate the test results.
What happens to the sample mean as the sample size increases?
With a good sample, the sample mean gets closer to the population mean.
As the sample size increases the effect of an extreme value on the sample mean becomes smaller.?
yes
How does one calculate the standard error of the sample mean?
Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.
You are using the t distribution to estimate or test the mean of a sample from a single population If the sample size is 25 then the degrees of freedom are?
There are 24 df.
What would happen to the sampling distribution of the mean if you increased the sample size from 5 to 25?
The variance of the estimate for the mean would be reduced.
What happens to the standard error if the sample size is increased?
As the sample size increases, the standard error decreases. This is because the standard error is calculated as the standard deviation divided by the square root of the sample size. A larger sample size provides more information about the population, leading to a more precise estimate of the population mean, which reduces variability in the sample mean. Thus, with larger samples, the estimates become more reliable.
How does sample size effect the test statistic?
The larger the sample size, the more accurate the test results.
When can you estimate a population's size when counting individuals in a sample of the population?
You can estimate a population's size when counting individuals if the density in a sample is greater than the population density.
What happens to the sample mean as the sample size increases?
With a good sample, the sample mean gets closer to the population mean.
Advantages and disadvantages of using arithmetic mean?
"The advantage is that the mean takes every value into account. A disadvantage is that it can be affected by extreme values. " The mean or more properly the "arithmetic mean" of a sample will eventually approximate the mean of the distribution of the population as the sample size increases. If the population distribution is skewed (not symmetrical), the mode and median will not provide an estimate of the mean, even as the sample size becomes large.
When calculating the confidence interval why is the sample standard deviation used to derive the standard error of the mean?
The sample standard deviation is used to derive the standard error of the mean because it provides an estimate of the variability of the sample data. This variability is crucial for understanding how much the sample mean might differ from the true population mean. By dividing the sample standard deviation by the square root of the sample size, we obtain the standard error, which reflects the precision of the sample mean as an estimate of the population mean. This approach is particularly important when the population standard deviation is unknown.
What does a small standard error of the mean mean?
A small standard error of the mean (SEM) indicates that the sample mean is a precise estimate of the population mean. This suggests that the data points in the sample are closely clustered around the mean, leading to less variability in the sample's mean calculation. Consequently, a small SEM often implies a larger sample size, enhancing the reliability of the results drawn from the sample.
What effect does the amount of the sample of a substance affect its density?
it has no effect. density of a substance is the same no matter the size or shape of the sample.
