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You are thinking of using a t procedure to test hypotheses about the mean of a...

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

(A) You may use the t procedure provided your sample size is large.

(B) You should not use the t procedure because the population does not have a normal distribution.

(C) You may only use the t procedure for a confidence interval, not a hypothesis test.

(D) You may use the t procedure, but you should probably claim only that the significance level is 0.10.

(E) You may use the t procedure provided that there are no outliers.

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Answer #1

correct option is A:

(A) You may use the t procedure provided your sample size is large.

(since from central limit theorem , if sample size is large enough( n>=30), we can use normal approximation)

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