Which bird is faster: Flamingos or peacocks? A study was done to estimate the true mean difference in running speed for flamingos and peacocks. Researchers selected a random sample of 45 flamingos and a random sample of 30 peacocks. One at a time, each bird was placed at the starting line, then was released to run down the walled runway. At the end of the runway was a dish of their favorite food. The birds were timed as they ran down the runway. The table below gives the mean and standard deviation of their speed, in miles per hour, for each type of bird. Group Flamingos Peacocks 45 30 x 6.5 5.2 Sx 1.351 1.550 Let₁ = the true mean running speed (in mph) for all flamingos and 2 = the true mean running speed (in mph) for all peacocks. Use these data to construct and interpret a 90% confidence interval for the difference in the mean running speed for all flamingos and peacocks.

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