Sampling Error and confidence intervals - What we do when the standard deviation (σ) is unknow

4 important questions on Sampling Error and confidence intervals - What we do when the standard deviation (σ) is unknow

SEm becomes bigger when?

N is held constant and SD increases

Why is a small value of SEm desirable?

They indicate a smaller amount of sampling error

Why arises a new problem when SD (standard deviation sample) is used to estimate the standard deviation of the population (Q)?

Because of sampling error through 2 sources. Because error arises when we use the mean of the sample to estimate the mean of the population and when Standard deviation of the sample is used to estimate the standard deviation of the population.
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In what situation and why do you use the t distribution?

When the standard deviation of the population (Q) is unknown and to take the sampling error into account that has been arises by estimating the sample mean to the population mean and the sample standard deviation to the population sample standard deviation.

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