# Statistics: Using the Wrong Distribution

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Using the wrong distribution:

When testing a claim about a population mean with a simple random sample selected from a normally distributed population with unknown standard deviation of all values in a population, the student t distribution should be used for finding critical values and/or a p-value. If the standard normal distribution is incorrectly used instead, does that mistake make you more or less likely to reject the null hypothesis, or does it not make a difference? Explain.

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This solution provides the answer to a questions involving wrong distribution in statistics.

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For a fixed significance level (ie. alpha=0.05) and same standard deviation, the t-value is larger than the z-value. For ...

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