STAT 302 Midterm: STAT 302 UW Madison Midterm1 sol
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Write very brief explanations. (a) circle either true or false (and explain/correct if false): When data is strongly skewed to the left, the mean is typically smaller than the median. Solution: true. (b) circle either true or false (and explain/correct if false): Based on the same sample data, a 90% con dence interval will be wider than a 95% con dence interval. Solution: a 90% con dence interval will be narrower. (c) circle either true or false (and explain/correct if false): A plot of variables x and y shows that the points lie tightly around a line with slope 2. Therefore, the correlation coe cient r between these variables will be just a bit smaller than 2. Correlation coe cient cannot be more than one. (d) circle either true or false (and explain/correct if false): A 99% con dence interval for a population mean based on a random sample of size ten is 55. 5 to 71. 9.
