elementary data analysis

QUESTION 1 A lecturer wishes to determine whether the mean time required to complete a certain assignment differ for three levels of student performance in his class. She randomly selected 10 students with each of the three level of performance (Beginner, Intermediate and Advance). The data is summarized in Table 2. Table 2 Level of Student 11 Mean ( x) Variance ( 5') Performance Beginner 10 24.2 21.54 Intermediate 10 27.1 18.64 Advance 10 30.2 17.76 Carry out an ANOVA test at 0.05 signicant level and discuss if the data provide sufcient evidence to indicate that the mean times required to complete a certain assignment differ for at least two of the three levels of performance . QUESTION 2 A professor aims to explore and determine the importance of spending more time in understanding the data behaviour and run the exploratory data analysis. He claims that the longer the time (in hours per day) student's spent on both aspects will produce more excellence output in terms of writings and results (in average pages). Therefore, a random sample of 11 degree students were chosen and their output produced items were recorded as in Table 1. Draw the conclusion from the result of the appropriate analysis. Table 1 m week) Output 7 8 9 13 14 15 11 10 11 15 16