A carpet company advertises that the average time it takes to deliver carpet to its customers is less than 15 days. A sample of 80 past customers is taken. The average delivery time in the sample was 16.1 days. The standard deviation of the population is known to be 5.6 days. Conduct a hypothesis test analysis to determine whether there is statistically significant data to show that it takes longer than 15 days for delivery. What is the p-value?
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