Question

In: Math

How would you ensure that your sample is not biased? What are the effects of a...

How would you ensure that your sample is not biased?

What are the effects of a large sample size to the distribution of the bell curve?

Solutions

Expert Solution

How would you ensure that your sample is not biased?

If the sample mean of our sample is approximately equal to the mean of population, then we can ensure that our sample is not biased. We always expect that the sample mean is approximately equal to the mean of population from where we select the sample. If sample mean is differs significantly from the population mean, we cannot ensure that this sample is unbiased. For getting unbiased samples, we always use random sampling technique.

What are the effects of a large sample size to the distribution of the bell curve?

If we use the large sample size, then we get more reliable estimates for population parameters. Due to large sample sizes, we get the values for corresponding sample statistics are approximate equal to the population parameters. Also, sampling distribution of sample statistic or sample mean, sd, etc. follows a approximate normal distribution and if we increase the sample size, then distribution is converges to the original normal distribution with population parameters. Overall, if we use a large sample size, then the distribution of the bell curve approaches to exact normal or perfect bell curve.


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