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.Suppose the value of the test statistic is 7.71.Using the critical value approach,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.Suppose the value of the test statistic is 7.71.Using the critical value approach,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 test statistic (7.71) exceeds the critical value at a significance level of 0.05, indicating that we can reject the null hypothesis of normality. Therefore, we conclude that the heights do not have a normal distribution.