A statistics student was interested in prices for used Mustang cars being offered for sale online. He sampled 25 cars from the website and recorded the asking price (in $1000s) for each car in his sample. We will examine a bootstrap distribution of sampling medians from the price data in his original sample of 25 cars. Instructions: Go to StatKey, and click "CI for Single Mean, Median, St.Dev." Go to the dataset "Mustang Price," and change the plot to a "Bootstrap Dotplot of Medians." Click "Generate 1000 Samples" five times. You have just created a bootstrap distribution of 5000 bootstrap samples for the median price of Mustangs, using the original sample of 25 cars. (1) Sketch the bootstrap dotplot of medians below (you may draw vertical lines instead of dots): (2) Explain why it would not be appropriate to use the bootstrap distribution to construct a 95% CI for the median price of mustangs. Refer to the shape of the bootstrap distribution. (3) Why do you think bootstrap distributions of otstrap medians look different from bootstrap distributions of bootstrap means or proportions?

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