A carpet company advertises that the average time it takes to deliver carpet to
ID: 3223235 • Letter: A
Question
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?
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?
Explanation / Answer
he average delivery time in the sample was 16.1 days.
The standard deviation of the population is known to be 5.6 days
Ho Mu>=15
Ha Mu<15
Z = (16.1-15)/(5.6/sqrt(80))
Z = 1.76
P(Z>1.76) = 1-.9608 = .0392
Which means p -value is .0392
Which means that we reject null hypothesis that Ho Mu>=15 and therefore,
Ha: Mu<15 is right.
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