Two scales are available at a campus athletic facility. A student wonders if, on average, they give the same reading for weight. She and four others weigh themselves on both scales. The readings are

(a) Find a 95% confidence interval for the mean difference in scale readings.
(b) Based on your answer to part (a), what is the conclusion to testing, with a = .05, that the mean difference is 0 versus a two-sided alternative hypothesis? Explain your reasoning.
(c) Explain how you would randomize in this experiment.

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