A car salesperson claims that the mean gas mileage for its luxury sedan is at least 32 miles per gallon (mpg). At α = 0.05 test the salesperson’s claim. The population is known to be normally distributed. A random sample of 10 cars has a mean gas mileage of 30 mpg and a (sample) standard deviation of 2.4 mpg. Write the null and alternative hypotheses for the given claim using the appropriate symbols. Sketch a graph showing the rejection and non-rejection regions. Determine the value of the test statistic and the outcome of the test.

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A car salesperson claims that the mean gas mileage for its luxury sedan is at least 32 miles per gallon (mpg). At α = 0.05 test the salesperson’s claim. The population is known to be normally distributed. A random sample of 10 cars has a mean gas mileage of 30 mpg and a (sample) standard deviation of 2.4 mpg.

Write the null and alternative hypotheses for the given claim using the appropriate symbols. Sketch a graph showing the rejection and non-rejection regions. Determine the value of the test statistic and the outcome of the test.

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