Inference - Confidence Intervals

Let mu represent the population mean number of minutes after the start of the party for all UC Davis students.

(d) Is mu a parameter or a statistic? Explain.

 

(e) To calculate a confidence interval for a population mean, the simplest formula is xbar + 2 sigma/sqrtn.

  1. Explain what sigma represents here.
  2. Explain what sigma/sqrtn measures here.

Unfortunately, we don't usually know sigma, so we will again use s/sqrtn as the "standard error of the sample mean."

(f) Calculate the standard error for this sample.

 

(g) Use the standard error and the 2SD short-cut to approximate a confidence interval for the population mean. Interpret this interval in context.

 

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