In: Statistics and Probability
to estimate the fuel efficiency of a new compact automobile, an engineer performed n=16 test runs and recorded the miles per gallon (mpg) for each run. the sample mean was 42.2 mpg with standard deviation 8.8.
a) construct a 99% confidence interval for the true mean mileage for this automobile.
- Lower limit= ?
-upper limit= ?
(please round your answers to 1 decimal place)
b) the manufacturer of this automobile claims that it gets 50mpg. Based on the confidence interval, do you think this is a reasonable claim? why or why not?