Answer to Question #41399 in Statistics and Probability for aniket kumar

Question

Two new types of petrol, called premium and super, are introduced in the market,
and their manufacturers claim that they give extra mileage. Following data were
obtained on extra mileage which is defined as actual mileage minus 10.

Data on Extra Mileage
Ordinary Petrol 1 2 2 1
Premium Petrol 2 2 1 3
Super Petrol 4 1 2 3

(i) Using ANOVA, test whether premium or super gives an extra mileage.
(ii) What is your estimate for the error variance?
(iii) Assuming that the error variance is known and is equal to 1, obtain the
95 % confidence interval for the mean extra mileage of super.