Question

You are thinking of employing a t-procedure to test hypotheses about the mean of apopulation using a significance level of 0.05. You suspect the distribution of thepopulation is not normal and may be moderately skewed. Which of the following statements is correct?A) You should not use the t-procedure, because the population does not have a normaldistribution.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 levelis only 0.10.D) You may not use the t-procedure, because t-procedures are robust to non Normalityfor confidence intervals but not for tests of hypotheses.

Answer 1

If you are thinking of employing a t-procedure to test hypotheses about the mean of a population using a significance level of 0.05. And you suspect the distribution of the population is not normal and may be moderately skewed. the correct statement would be that (a) You should not use the t-procedure, because the population does not have a normal distribution.

Explanation:

T-tests are used to compare two means to assess whether they are from the same population. T-tests presume that both groups are normally distributed and have relatively equal variances.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve