Question 1183463: The average length of time for people to vote using the old procedure during the presidential election period in selection precinct A is 55 minutes. Using computerization as a new election method, a random sample of 20 registrants was used and found to have a mean length of voting time of 30 minutes with a standard deviation of 1.5 minutes. Test the hypothesis in which the population mean is greater than the sample mean.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This will be a t-test with t (df=19) and the critical value of |t| being > 2.093 at the 0.05 level of significance.
Assuming random sample, normality, and s being estimator of sigma, and the "population mean" being 55 minutes, the past way.
t=(30-55)/1.5/sqrt(20)
=-74.5
This is highly significant for the population mean (the old procedure) being greater than the new procedure, or as would be stated here, the new procedure is shorter than the old one.
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