For a random sample of 247 observations,the skewness of the data was calculated to be -0.52 while the kurtosis was calculated to be 3.24.Which of the following is true in the light of the information given above? A)Reject H₀ for α = 0.05,but not for α = 0.10 B)Reject H₀ for α = 0.10,but not for α = 0.5 C)Reject H₀ for α= 0.05 and for α = 0.10 D)Fail to reject H₀ for all levels of significance.

Question

Quizplus · Accepted Answer

For a sample size of 247, the critical values for skewness and kurtosis at α = 0.05 are -1.96 and 3.29, respectively. Since the calculated skewness (-0.52) is within the critical values, we fail to reject H0 for skewness. However, the calculated kurtosis (3.24) is greater than the critical value, so we reject H0 for kurtosis. Therefore, the correct answer is C.

For a Random Sample of 247 Observations,the Skewness of the Data