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Normally Distributed Variables and Hypothesis Testing

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Assume that the random variable is normally distributed.

A courier service advertises that its average delivery time is less than 6 hours for local deliveries. A random sample of times for 12 deliveries to an address across town was recorded. These data are shown here. Is this sufficient evidence to support the courier's advertisement, at the 5% level of significance?

3.03 6.33 6.50 5.22 3.56 6.76
7.98 4.82 7.96 4.54 5.09 6.46

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This solution provides answers to hypothesis testing questions in Excel.

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