Exhibit 12.8 The heights (in cm)for a random sample of 60 male employees of S&M Construction Company were measured.The sample mean is 166.5,the standard deviation is 12.57,the sample kurtosis is 0.12,and the sample skewness is -0.23. Refer to Exhibit 12.8.Suppose the null hypothesis of normality is rejected.Which of the following is a valid conclusion?
A)The heights have a normal distribution
B)Not being able to determine the heights means it does not have a normal distribution
C)The heights do not have a normal distribution
D)Not being able to determine the heights means it has a normal distribution

Question

Quizplus · Accepted Answer

If the null hypothesis of normality is rejected, then it means that the sample does not provide enough evidence to support the assumption of normality. Therefore, the valid conclusion would be that the heights do not have a normal distribution. Option A cannot be chosen as it contradicts the rejection of the null hypothesis. Option B and D are not valid conclusions as they do not follow from the given information.