A bank claims that its customers wait in line for an average of 3 minutes with a standard deviation of 1.1 minutes. It is known that waiting times follow a normal distribution.

Mr. Smith believes that customers wait for more than three minutes. He takes a sample of the waiting times of 10 customers. He records the times as follows:

4.3, 4.3, 1.8, 5.2, 4.3, 2.9, 3.1, 5.0, 4.0, 2.1

Can Mr. Smith conclude that the mean waiting time for the bank’s customers is more than 3 minutes, using α = 0.05?

Please help with this question.

Thank you.

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