Answer to Question #165194 in Statistics and Probability for Sunny

Question

.There are four cars available for comparative study of tyre performance .It is believed that tyres are wearing out in a different rate at different positions of a car. Tyres were installed in four different locations: Right - Front, Left - front, Right - rear and left - rear. The measurements of the wearing out of tyres in this investigation are noted. Three factors are considered in this study . They are tyre position, car and the different tyres studied in this investigation.

Annova Table

Source Sum of squares df mean square F Sig.

car 2036 3 679 28.77 0.001

position 359 3 120 5.07 0.044

Tyre types 381 3 127 5.38 0.039

Error 142 6 24

total 47,016 16

a. identify the type of design

b. identify the extraneous variables

c. find out the number of observation

d. formulate the hypothesis

e. interpret the result at 5% level of significance

Answer 1

Annova table is given as-

(a) Latin square.

(b) Car and tyre type

(c)16

(d)$H_o$ =There is no significant difference in the average wearing outof tyres across different position of

car.

(e) Null Hypothesis $(H_o)$ is rejected as p<0.05.