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P2. Suppose you want to compare the weekly study hours of Statistics and Economics students. For...

P2. Suppose you want to compare the weekly study hours of Statistics and Economics students. For this, a random sample of 20 students of Statistics was taken, from which an average of 3 hours per week was obtained with a deviation. typical of 2.5h, and another sample of 30 students of Economics independent of the previous one, who presented an average of 2.8 h, with a deviation. typical 2.7h. Assuming that the weekly study hours of the two types of students follow a normal distribution,

(a) Calculate a 95% confidence interval for the variance quotient of weekly study hours for Statistics students and Economics students. (15 pts)

(b) Assuming that the variances of the hours of study are similar, obtain a confidence interval of 95% for the difference of means of hours of study of the two types of students. (15 pts)

Math   Statistics-And-Probability   
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