no need of explanation only solution and answer
1. Two groups of students were given introduction to statistics examination and tested to find out which group is faster to finish the examination. For the two groups the following information was given.
Value Group one Group two
Mean 10.4 min 11.9 min
Standard deviation 1.2 min 1.3 min
Relatively speaking:
a) Which group is more consistent in its performance?
b) Suppose Yacob from group one take 9.2 minutes while Melat from group two take 9.3 minutes, who was faster in performing the task? Why
a) To determine which group is more consistent in its performance, we can compare the standard deviations. The smaller the standard deviation, the more consistent the group's performance. From the given information, we can see that group one has a standard deviation of 1.2 minutes, while group two has a standard deviation of 1.3 minutes. Therefore, group one is more consistent in its performance.
b) To determine who was faster in performing the task between Yacob and Melat, we need to compare their individual times to the respective group means. Yacob took 9.2 minutes, which is less than the mean time for group one (10.4 minutes), while Melat took 9.3 minutes which is less than the mean time for group two (11.9 minutes). Therefore, Yacob from group one was faster in performing the task compared to Melat from group two.