Tesla claims that it’s latest battery will take only 1 hour to recharge and the battery will last more than double the time of a normal battery. On average, their battery lasts for 70 months. A research group wanted to test that claim. They took a sample of 50 batteries and they found that on average a Tesla battery would last 67 months with a standard deviation of 3.5 months. Using a 3% significance level can you conclude that the mean life of all the Tesla batteries is less than 70 months. (Use the P values approach)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Tesla claims that it’s latest battery will take only 1 hour to recharge and the battery will last more than double the time of a normal battery. On average, their battery lasts for 70 months. A research group wanted to test that claim. They took a sample of 50 batteries and they found that on average a Tesla battery would last 67 months with a standard deviation of 3.5 months. Using a 3% significance level can you conclude that the mean life of all the Tesla batteries is less than 70 months. (Use the P values approach)

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