On December 1, 2013, Jeff Bezos (Founder and CEO of Amazon.com) announced on CBS’s “60 minutes” that his company plans to develop a “delivery drone” that would cut delivery time for products purchased on Amazon.com to an average of 30 minutes or less. Assume that a random sample of 50 deliveries made by a prototype of the drone had an average delivery time of 32.1 minutes with a standard deviation of 5.4 minutes. a) Test whether this sample provides sufficient evidence against Bezos’ claim at the 5% level of significance. What is the p-value of this test and how does it relate to your conclusion? b) Now use the same data to perform the same test at the 1% level of significance. Did your conclusion change? Did the p-value change? Why, why not?
On December 1, 2013, Jeff Bezos (Founder and CEO of Amazon.com) announced on CBS’s “60 minutes” that his company plans to develop a “delivery drone” that would cut delivery time for products purchased on Amazon.com to an average of 30 minutes or less. Assume that a random sample of 50 deliveries made by a prototype of the drone had an average delivery time of 32.1 minutes with a standard deviation of 5.4 minutes. a) Test whether this sample provides sufficient evidence against Bezos’ claim at the 5% level of significance. What is the p-value of this test and how does it relate to your conclusion? b) Now use the same data to perform the same test at the 1% level of significance. Did your conclusion change? Did the p-value change? Why, why not?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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On December 1, 2013, Jeff Bezos (Founder and CEO of Amazon.com) announced on CBS’s “60 minutes” that his company plans to develop a “delivery drone” that would cut delivery time for products purchased on Amazon.com to an average of 30 minutes or less. Assume that a random sample of 50 deliveries made by a prototype of the drone had an average delivery time of 32.1 minutes with a standard deviation of 5.4 minutes. | ||
a) Test whether this sample provides sufficient evidence against Bezos’ claim at the 5% level of significance. What is the p-value of this test and how does it relate to your conclusion? | ||
b) Now use the same data to perform the same test at the 1% level of significance. Did your conclusion change? Did the p-value change? Why, why not? |
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