Question

Red Bull Racing, the Formula 1 team, is evaluating the time it takes for a pit stop for its two cars, RB15 and RB16. It is known that the time X, in seconds, that takes a pit stop for the RB15 car follows a distribution N(Î¼x, Ïƒ^2x) and that the time Y, in seconds, that takes a pit stop for the RB16 car follows a distribution N(Î¼y, Ïƒ^2y). It is also known that the random variables X and Y are independent of each other. In a random sample of the duration of the pit stop for each of the cars, the following information was obtained: Sample Size Sample Mean Sample Variance RB15 35 15.89 0.33 RB16 45 14.23 0.25 Find the 90% confidence interval for the ratio of the variances, Ïƒ^2x / Ïƒ^2y, of the random variables X and Y. Options: CI = [0.876, 2.022] CI = [0.447, 1.311] CI = [0.779, 2.285] CI = [0.503, 1.160] CI = [0.763, 2.236]

          Red Bull Racing, the Formula 1 team, is evaluating the time it takes for a pit stop for its two cars, RB15 and RB16.
It is known that the time X, in seconds, that takes a pit stop for the RB15 car follows a distribution N(Î¼x, Ïƒ^2x) and that the time Y, in seconds, that takes a pit stop for the RB16 car follows a distribution N(Î¼y, Ïƒ^2y). It is also known that the random variables X and Y are independent of each other. In a random sample of the duration of the pit stop for each of the cars, the following information was obtained:
Sample Size
Sample Mean
Sample Variance
RB15
35
15.89
0.33
RB16
45
14.23
0.25
Find the 90% confidence interval for the ratio of the variances, Ïƒ^2x / Ïƒ^2y, of the random variables X and Y.
Options:
CI = [0.876, 2.022]
CI = [0.447, 1.311]
CI = [0.779, 2.285]
CI = [0.503, 1.160]
CI = [0.763, 2.236]

Added by Monica A.

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