The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution μ = 0.5 and σ = 0.289. (a) Let x be the sample mean waiting time for a random sample of 19 individuals. What are the mean and standard deviation of the sampling distribution of x? (Round your answers to three decimal places.) μx = σx = (b) Answer Part (a) for a random sample of 40 individuals. (Round your answers to three decimal places.) μx = σx =
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Step 1
Given: Population mean (μ) = 0.5 Population standard deviation (σ) = 0.289 Sample size (n) = 19 Calculate the sampling standard deviation: σx = σ / √n σx = 0.289 / √19 σx ≈ 0.066 Show more…
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