You are thinking of employing a t-procedure to test hypotheses about the mean of a population using a significance level of 0.05. You suspect the distribution of the population is not Normal and may be moderately skewed.
Which of the following statements is correct?

Question

You are thinking of employing a t-procedure to test hypotheses about the mean of a population using a significance level of 0.05. You suspect the distribution of the population is not Normal and may be moderately skewed.

Which of the following statements is correct?

Answer

You may use the t-procedure, but you should probably claim the significance level is only 0.10.

Answer

You may not use the t-procedure, because t-procedures are robust to non-Normality for confidence intervals but not for tests of hypotheses.

Answer

You may use the t-procedure, provided your sample size is large, say, at least 50.

Answer

You should not use the t-procedure, because the population does not have a normal distribution.

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