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In 2011 the U.S. Department of Transportation reported with 95% confidence that the average length of a motor vehicle trip in the United States was 9.72 miles with a margin or error of 0.22 miles.
With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between ________and_________ miles.

The level of confidence for this estimate is ________%

Respuesta :

Using the interpretation of the confidence interval, it is found that:

  • With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between 9.50 miles and 9.94 miles.
  • The level of confidence for this estimate is 95%.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

Considering the mean and the standard error, the bounds of the interval are:

  • a = 9.72 - 0.22 = 9.50 miles.
  • b = 9.72 + 0.22 = 9.94 miles.

Hence:

  • With 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between 9.50 miles and 9.94 miles.
  • The level of confidence for this estimate is 95%.

More can be learned about confidence intervals at https://brainly.com/question/25890103

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