(*explaining how to do this, step by step; while how to compute this with a TI-8
ID: 2927225 • Letter: #
Question
(*explaining how to do this, step by step; while how to compute this with a TI-84, if possible/ applicable please)
A local pizza place claims that they average a delivery time of 6.09 minutes. To test this claim, you order 11 pizzas over the next month at random times on random days of the week. You calculate that the average delivery time is 8.04 minutes with a standard deviation of 1.653 minutes. You create a 99% confidence interval of (6.46, 9.62). Of those listed below, what is the best conclusion you can make?
Question 5 options:
1)
The percentage of pizzas that arrive around 6.09 minutes is 99%.
2)
You are 99% confident that the average delivery time is greater than 6.09 minutes.
3)
The average delivery time does not significantly differ from 6.09 minutes.
4)
You are 99% confident that the average delivery time is less than 6.09 minutes.
5)
We cannot determine the proper interpretation based on the information given.
1)
The percentage of pizzas that arrive around 6.09 minutes is 99%.
2)
You are 99% confident that the average delivery time is greater than 6.09 minutes.
3)
The average delivery time does not significantly differ from 6.09 minutes.
4)
You are 99% confident that the average delivery time is less than 6.09 minutes.
5)
We cannot determine the proper interpretation based on the information given.
Explanation / Answer
The 99% confidence interval is [6.46, 9.62] and is entirely greater than 6.09
We are 99% confident that the average delivery time is greater than 6.09 minutes
Answer: Option (2)
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