STAT 104 Lecture Notes - Lecture 10: Confidence Interval, Null Hypothesis, Statistic

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We want a 95% confidence interval for the mean tip amount at a certain restaurant. We used statkey to take 1000 bootstrap samples and got the following output: We took 1000 bootstrap samples, and to get a 95% confidence interval, we want the middle 95%. O (cid:449)e (cid:449)a(cid:374)t the (cid:373)iddle 950 (cid:271)ootstrap sa(cid:373)ples. This (cid:373)ea(cid:374)s (cid:449)e (cid:449)a(cid:374)t to (cid:862)(cid:272)ut off(cid:863) the 25 highest (cid:448)alues and the 25 lowest values. We can count the 25 highest dots and the 25 lowest dots to get a rough estimate of a 95% confidence interval. By doing this, we will have the range for the middle 95% of our distribution (which is what a. By counting, we could get a rough estimate of the confidence interval to be (3. 49, 4. 25) If we actually use statkey, we see that the 95% confidence interval is (3. 476, 4. 234). You will need to be able to find a confidence interval without statkey automatically.

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