01:202:302 Lecture Notes - Lecture 7: Confidence Interval, Homicide, Standard Deviation

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Help out our researcher and calculate the confidence interval for some of the professor"s data. First write down what information is provided by the problem. = . 05; since the confidence level is 95% (because is . 05), z a = 1. 96. Now, simply plug the numbers into the formula. Ul= 46. 9+ 1. 69= 48. 59 the 95% ci: 45. 21 48. 59. There is a 95% chance (or . 95 probability) that the true population mean is 45. 21, 48. 59, or some number in between those values. This also mean there is a 5% chance that the true population mean is not in this range. 2: the researcher has collected some additional data for her study into homicide in. However, before she adds the new data to the general data base she wishes to check the confidence levels. She has a new sample size of 31 homicdes, with a standard deviation of 7. 89, and a mean of 22. 34. Calculate a confidence level based on this new data.

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