You are thinking of employing a t-procedure to test hypothesis about the mean of

Question

You are thinking of employing a t-procedure to test hypothesis about the mean of a population ? 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 is correct? a. You should not use the t-procedure because the population does not have a normal distribution b. You may use the t-procedure, provided your sample size is large, say at least 40 c. You may use the t-procedure, but you should probably claim the significance level is 0.10 d. You may not use the t-procedure because t-procedure are robust to non-normaitiry for confidence intervals but not for tests of hypothesis.

Explanation / Answer

You are thinking of employing a t-procedure to test hypothesis about the mean of a population ? 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 is correct?

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

b. You may use the t-procedure, provided your sample size is large, say at least 40

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

d. You may not use the t-procedure because t-procedure are robust to non-normaitiry for confidence intervals but not for tests of hypothesis.

The central limit theorem states that sampling distribution of the mean will tend to a normal distribution, when sample size is large, even if the distribution is non-normal.

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