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Ginger Face

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  • La la la la la just driving along the highway
  • To perform our significance test, we use the formula t=(sample mean - population mean)/(Standard Deviation of the sample / (Square root of sample size)) We compute our sample mean and sample standard deviation from the 200 cars we examined. The population mean is the 34mpg value provided by Honda.
  • La la la la la just driving along the highway
  • I'll call Eitan. He'll know what to do
  • We can compare this calculated t-value to a standard t distribution with 199 (that is 200-1) degrees of freedom to determine the probability of finding a real world 2011 honda civic mpg distribution with a mean as extreme as Honda's 34mpg value. If this probability value is less than .05 (5%), then we may reject Honda's claim u=34. In this case we have evidence to conclude that Honda's claim is indeed an exaggeration.
  • Aw man... I ran out of gas. But this doesn't make any sense! Honda told me I'd get 34mpg on the freeway. I started with 5 gallons and only made it 100 miles.
  • La la la la la just driving along the highway
  • Nadav this is crazy! I've been reading up. It seems that a lot of people have been having the same problem. Honda's claim is ridiculous!!
  • If, however, the probability value is found to be greater than .05, then we would have insufficient evidence to reject Honda's 34mpg average claim for the 2011 civic. In this case the data would point towards Honda's claim being reasonable.
  • Aw man... I ran out of gas. But this doesn't make any sense! Honda told me I'd get 34mpg on the freeway. I started with 5 gallons and only made it 100 miles.
  • Thanks Dr. Fang!! So, you ask, how can this statistical significance mumbo jumbo help us in real life? A responsible customer will do his research before buying a new vehicle. The car company's ability to live up to its claims should play a significant (no pun intended) role in the process.
  • But can you come get me first?
  • Great idea! I bet the actual mpg of the civic is less than what they say it is. I'll get our statistics expert Dr. Fang on this.
  • We can use a one sample t test to test your claim. I've compiled mpg data from two hundred 2011 honda civic owners.
  • That's right Eitan! Still waiting for you to pick me up by the way... Based on the data and t-test (Which, Dr. Eisenberg, we promise we'll have calculated very soon) I could/couldn't have avoided my current predicament. Let this be a lesson to you all!
  • And that's why Stats matters!!
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