Analysis of Last Digits Analysis of the last digits of sample data values sometimes reveals whether the data have been accurately measured and reported. When single digits 0 through 9 are randomly selected with replacement, the mean should be 4.50 and the standard deviation should be 2.87. Reported data (such as weights or heights)

are often rounded so that the last digits include disproportionately more 0s and 5s.

The last digits in the reported lengths (in feet) of the 73 home runs hit by Barry Bonds in 2001 are used to test the claim that they come from a population with a mean of 4.50 (based on data from USA Today). When Minitab is used to test that claim, the display is as shown here. Using a 0.05 significance level, interpret the Minitab results.

Does it appear that the distances were accurately measured?

Test of mu 5 4.5 vs mu not 5 4.5 The assumed sigma 5 2.87 Variable N Mean StDev SE Mean BONDS 73 1.753 2.650 0.336 Variable 95.0% CI Z P BONDS ( 1.095, 2.412) 28.18 0.000