STAT 1000 Lecture Notes - Lecture 32: Standard Deviation, Null Hypothesis, Confidence Interval

• School: University of Manitoba
• Department: Statistics
• Course: STAT 1000
• Professor: Mohammad Nadimi

Document Summary

Note that the length of a confidence interval depends on the sample size,but not the. For a given sample size, our estimate will be just as precise, regardless of the size of the population (as long as the population size is reasonably large). Assuming equal standard deviations and confidence levels, the margin of error will be the same for both detention centers. When collecting a sample, it is always wise to consider the purpose of our data collection. we would often like to achieve a certain precision of estimation. to accomplish this, we require a sufficient sample size. Z * )2 ( m m = n = . Z * )2 ( m n = ( 250. Notice, we would like the margin of error to be decreased by to 125 lbs. Z * )2 ( m n = ( 125. Prior to the test, we choose a level of significance, .