SCENARIO 12-17
Three New Different Models of Compact SUVs Have $H _ { 0 } : M _ { 1 } = M _ { 2 } = M _ { 3 }$

question 10

Short Answer

SCENARIO 12-17
Three new different models of compact SUVs have just arrived at the market. You are interested in
comparing the gas mileage performance of all three models to see if they are the same. A partial
computer output for twelve compact SUVs of each model is given below:
-Referring to Scenario 12-17, what should be the null and alternative hypotheses of the test? a) $H _ { 0 } : M _ { 1 } = M _ { 2 } = M _ { 3 }$ vs. $H _ { 1 } : M _ { 1 } \neq M _ { 2 } \neq M _ { 3 }$
b) $H _ { 0 } : M _ { 1 } = M _ { 2 } = M _ { 3 }$ vs. $H _ { 1 } : M _ { 1 } \neq M _ { 2 } = M _ { 3 }$
c) $H _ { 0 } : M _ { 1 } = M _ { 2 } = M _ { 3 }$ vs. $H _ { 1 } : M _ { 1 } = M _ { 2 } \neq M _ { 3 }$
d) $H _ { 0 } : M _ { 1 } = M _ { 2 } = M _ { 3 }$ vs. $H _ { 1 } :$ Not all $M _ { j }$ are equal (where $j = 1,2,3$ )

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Definitions:

Surgical Site Infections

Infections that occur after surgery in the part of the body where the surgery took place, which can sometimes lead to serious complications.

National Average

The mean or median value of a particular measure computed from data collected across a nation.

Mean Distribution

Refers to the distribution of the arithmetic mean from multiple samples from the same population, often assumed to be normal in many statistical applications.

SSIs Rate

Stands for Surgical Site Infections rate, which is a measure used in healthcare to quantify the occurrence of infections that occur after surgical procedures in the part of the body where the surgery took place.