Question

an engineering crew ran several tests on a new automobile engine they were designing. the mean fuel consumption was 52.4 miles per gallon and the standard deviation was 1.8 mpg. which mpg test would be considered an \unusual\ value?
(1 point)
○ 54.8 mpg
○ 56.5 mpg
○ 49.1 mpg
○ 51.3 mpg

Explanation:

Step1: Determine the range for usual values

Usual values lie within \( \mu\pm2\sigma \). Given \( \mu = 52.4\) and \( \sigma=1.8\).
Lower bound: \(52.4 - 2\times1.8=52.4 - 3.6 = 48.8\)
Upper bound: \(52.4+ 2\times1.8=52.4 + 3.6=56\)

Step2: Check each option

• For \(54.8\): \(48.8<54.8<56\) (usual)
• For \(56.5\): \(56.5>56\) (unusual)
• For \(49.1\): \(48.8<49.1<56\) (usual)
• For \(51.3\): \(48.8<51.3<56\) (usual)

Answer:

\(56.5\) mpg