Inference and Sampling Distributions
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You'll need a pencil and paper for these. You can check your answers with the key offered at the bottom of the page.
2. Suppose that 29% of all high-school seniors are regular smokers. (This is approximately true, according to a 2004 Gallup poll.) If you were take a random sample of 100 high school seniors, what would be the approximate distribution of the sample proportion of regular smokers among them?
3. Suppose that the heights of three-month-old red oak saplings in a greenhouse have a mean of 2.1 inches and a standard deviation of 1.9 inches. You plan to randomly sample 45 of these saplings and average their heights together to get x-bar. What is the probability that the mean of the sample heights will be less than 1.7 inches?
4. Again given the supposition that the heights of
three-month-old red oak saplings in a greenhouse have a mean of 2.1
inches and a standard deviation of 1.9 inches, can you calculate the
probability that one