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Engineering, 24.08.2019 00:10 imsmart916

Suppose a student measuring the boiling temperature of a certain liquid observes the readings (in degrees celsius) 102.5, 101.7, 103.1, 100.9, 100.5, and 102.2 on 6 different samples of the liquid. he calculates the sample mean to be 101.82. if they know that the standard deviation for this population of this procedure is 1.2 degrees and that the temperatures are normally distributed: a. what is the confidence interval for the population mean at a 95% confidence level? b. suppose the student was interested in a 90% confidence interval for the boiling temperature. would the confidence interval in #1 increase or decrease? why? c. suppose the student wishes to have a margin of error equal to 0.5 with 95% confidence. how large a sample would they have to have to accomplish this?

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