\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A car manufacturer claims that their new model consumes an average of \(5.5\) liters of fuel per 100 km.
A consumer group tests 35 cars and finds a sample mean of \(5.8\) liters/100km with a standard deviation of \(0.8\).
  1. Construct a \(95\pourcent\) confidence interval for the true mean consumption.
  2. Does the confidence interval support the manufacturer's claim? Explain.

Capture an image of your work. AI teacher feedback takes approximately 10 seconds.