explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximately normal. (select all that apply.)

Respuesta :

The general form of a Confidence Interval Estimate for a population mean is

      Sample mean ± Critical Value × Standard Error of statistics.

Confidence intervals are one type of statistical interference. They allow us to range values where we can be relatively confident the true value will be. In this case, we are constructing a confidence interval for a population mean. For example: - Suppose that our sample has a mean of X bar = 10 and have constructed the 90% confidence interval.

From the above discussion, we get to know that:

It is reasonable to use a one sample t confidence interval to estimate the population mean since all freshman at a  mid western university where surveyed.

It is reasonable to use a one sample t confidence interval to estimate the population mean since the sample size is at least 30.

It is reasonable to use a one sample t confidence interval to estimate the population mean since the sample size is the sample is representative of the population.

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