Compute the 95% confidence interval around the u for Colorado residents. Be sure to state your results in statistical notation. Do you reject or fail to reject the null? Why/why not? State the findings in plain language. Who gets a free dinner at Alinea?: Friend A, Friend B, or Friend C?
Three friends are having a debate. They recently read that on average Americans drive 16 miles each way when computing to work by car (ABC News, 2007). Friend A suspects that the mean for Colorado residents is likely lower than the national average because the population density of Colorado increases the likelihood that people live closer to their jobs, while friend B suspects the mean for Colorado residents is likely higher than the national average. Friend C does not find either argument very convincing and instead suspects that the mean for Colorado residents is no different from the US population mean. The three friends bet a dinner at Alinea and set out to resolve the debate. Using a random sample of 20 Colorado residents, they calculate the mean for their sample to be 14.23 miles with a standard deviation of 2.34. The three friends did not pay very close attention in their statistics class, so they need your help making sense of these numbers.
- Compute the 95% confidence interval around the u for Colorado residents. Be sure to state your results in statistical notation.
- Do you reject or fail to reject the null? Why/why not?
- State the findings in plain language. Who gets a free dinner at Alinea?: Friend A, Friend B, or Friend C?
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