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 ________%.

Answer with explanation:Given : The average length of a motor vehicle trip in the United States was 9.72 milesThe margin of error = 0.22 milesSignificance level : [tex]\alpha=1-0.95=0.05[/tex]The confidence interval for population mean is given by :-[tex]\overline{x}\pm E[/tex][tex]9.72 \pm 0.22=(9.50,\ 9.94)[/tex]Thus , 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%.