Statistics: Hypothesis tests: t-test – #405


Question: Test the given claim using the traditional method of hypothesis testing. Assume that the sample has been randomly selected from a population with a normal distribution.

Show a complete hypothesis test with all six steps.

A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. A college student took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.4 minutes with a standard deviation of 1.7 minutes. At the 0.01 significance level, test the claim that the mean is less than 10 minutes.

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