The fuel economy sticker on a new SUVs window sticker indicates the owner can expect 16 mpg in city driving and 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank of gasoline was collected: 17.617.718.122.017.019.418.917.421.019.218.319.120.716.719.418.218.417.117.415.817.918.016.317.517.320.419.121.018.119.019.618.916.818.217.619.118.016.820.917.917.720.318.619.016.519.418.618.617.318.7 Test whether the population average mpg is actually greater than 18 mpg using a 1% level of significance. a) State the null and alternate hypotheses. b) Would you perform a one-tailed or two-tailed test? Why? c) State the test statistic and p-value of your test. Round your values to four-decimal places. d) Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α. e) Interpret your conclusion in the context of this problem.
The fuel economy sticker on a new SUVs window sticker indicates the owner can expect 16 mpg in city driving and 20 mpg highway driving and 18 mpg overall. Accurate gasoline records for one such vehicle were kept, and a random sample of mileage per tank of gasoline was collected:
17.617.718.122.017.019.418.917.421.019.218.319.120.716.719.418.218.417.117.415.817.918.016.317.517.320.419.121.018.119.019.618.916.818.217.619.118.016.820.917.917.720.318.619.016.519.418.618.617.318.7
Test whether the population average mpg is actually greater than 18 mpg using a 1% level of significance.
a) State the null and alternate hypotheses.
b) Would you perform a one-tailed or two-tailed test? Why?
c) State the test statistic and p-value of your test. Round your values to four-decimal places.
d) Explain your conclusion to reject or fail to reject the null hypothesis in terms of p and α.
e) Interpret your conclusion in the context of this problem.
Step by step
Solved in 4 steps
