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? a. You should not use the t procedure because the population does not have a Normal distribution.
b. You may use the t procedure, but you should probably claim the significance level is only 0.10.
c. You may use the t procedure, provided your sample size is large, say, at least 40.
d. You may not use the t procedure because t procedures are robust to non-Normality for confidence intervals but not for tests of hypotheses.
b. You may use the t procedure, but you should probably claim the significance level is only 0.10.
Step-by-step explanation:
A t-test is generally used to compare the mean of two groups when the data comes from a normal distribution. If the distribution is not normal we can still perform a t-test but the sample size should be large enough.
