STAT 100 Midterm: STAT100 ALL-SECTIONS SPRING2001 0000 MID EXAM 3

• School: University of Maryland
• Department: Statistics and Probability
• Course: STAT 100
• Professor: All

Document Summary

You may use a calculator and one page of notes. Di erent parts of a problem have equal weight unless otherwise indicated. It is desired to estimate this mean so that with a 95% level of con dence, the estimate is within 0. 1 of the actual mean. A reasonable planning value for the population standard deviation is 0. 7. Sup- pose that a researcher takes a survey and from the survey data computes (1. 2, 1. 6) as a 95% con dence interval for the population mean . Then with probability equal to . 95, it is true that 1. 2 < < 1. 6. (d) the sample average is a consistent estimator of the population mean, by the law of. Large numbers: for su ciently large sample size, the sample average is very close to the population mean, with probability close to 1.