Exhibit 12.7 The heights (in cm)for a random sample of 60 males were measured.The sample mean is 166.55,the standard deviation is 12.57,the sample kurtosis is 0.12,and the sample skewness is -0.23.The following table shows the heights subdivided into non-overlapping intervals. Refer to Exhibit 12.7.Using the p-value approach and ,the decision and conclusion are:
A)Reject the null hypothesis,conclude heights have a normal distribution
B)Reject the null hypothesis,conclude heights do not have a normal distribution
C)Do not reject the null hypothesis,conclude heights have a normal distribution
D)Do not reject the null hypothesis,conclude heights do not have a normal distribution

Question

Exhibit 12.7 The heights (in cm)for a random sample of 60 males were measured.The sample mean is 166.55,the standard deviation is 12.57,the sample kurtosis is 0.12,and the sample skewness is -0.23.The following table shows the heights subdivided into non-overlapping intervals.  Refer to Exhibit 12.7.Using the p-value approach and  ,the decision and conclusion are:
A)Reject the null hypothesis,conclude heights have a normal distribution 
B)Reject the null hypothesis,conclude heights do not have a normal distribution 
C)Do not reject the null hypothesis,conclude heights have a normal distribution 
D)Do not reject the null hypothesis,conclude heights do not have a normal distribution

Quizplus · Accepted Answer

The p-value is 0.027 which is less than α = 0.05. Thus, we reject the null hypothesis that the heights have a normal distribution. Therefore, we can conclude that heights do not have a normal distribution.