If, in a sample of n = 43 selected from a left-skewed population, X = 67 and S =
ID: 3220994 • Letter: I
Question
If, in a sample of n = 43 selected from a left-skewed population, X = 67 and S = 22, would you use the t test to test the null hypothesis H_0: mu = 59? A. No, you would not use the t test because the sample size is less than 30 and the population is left-skewed. B. Yes, you would use the t test because the sample size is less than 30 and this population size allows for the Central Limit Theorem to take effect. C. No, you would not use the t test because the sample size is at least 30 and the population is left-skewed. D. Yes, you would use the t test because the sample size is at least 30 and this population size allows for the Central Limit Theorem to take effect.Explanation / Answer
As per Central Limit Theorem, the sampling distribution of the sample mean can be aprroximated by a normal distribution if the sample size is more than or equal to 30
So, for the given question, we can use the t-test since the sample size is more than 30 and central limit theorem be applied
Hence, answer is option-D