In: Statistics and Probability
A car company claims that their Super Spiffy Sedan averages 31 mpg. You randomly select 8 Super Spiffies from local car dealerships and test their gas mileage under similar conditions.
You get the following MPG scores:
MPG: | 30, | 28, | 32, | 26, | 33, | 25, | 28, | 30 |
We wan to test whether the actual gas mileage for these cars deviate significantly from 31 (alpha = .05).
1- Are we given the value of the population mean (μ)?
2- What is the the standard error?
3- What is the the null hypothesis?
4- What is the the value of the test statistic?
5- Based on the p-value you obtained, should we reject the null hypothesis at significance level α = 0.05?
6- What is a 95% confidence interval for the mean actual gas mileage of the company's cars?