Question

Making the Decision. Analyze the statement and decide whether or not the test is significant; compare the computed value of the test to the critical value. The heights of two sections of female classes were compare. The fist section with only 24 students recorded an average heigh of 163.5cm with a standard deviation of 6.9cm. The other class with 20 students recorded an average height of 160.3 with standard deviation of 5.5cm. At 0.05 level of significance is there a reason to believe that the first section of female students is taller than the females of the second class if the p value is 0.005?

Answer 1

To determine whether or not the test is significant, we need to compare the computed value of the test statistic to the critical value. In this case, the test statistic is the p-value, which is 0.005.

The p-value is a measure of the evidence against a null hypothesis. In this case, the null hypothesis is that there is no difference in the average height between the first section of female students and the second class of female students. A small p-value (typically less than 0.05) indicates that the evidence against the null hypothesis is strong, and we can reject the null hypothesis.

Since the p-value is 0.005 which is less than 0.05, we reject the null hypothesis that the mean height of first section of female students is equal to the mean height of second class of female students. Therefore, there is a reason to believe that the first section of female students is taller than the females of the second class.