Energetic Co., a battery manufacturer, claims their battery lasts for 69.83 months with a standard deviation of 10.135 months. You randomly sample 29 of these batteries. Assuming the distribution for the battery lifetime is approximately normal, what is the probability the average lifetime is greater than 68.34?
Energetic Co., a battery manufacturer, claims their battery lasts for 69.83 months with a standard deviation of 10.135 months. You randomly sample 29 of these batteries. Assuming the distribution for the battery lifetime is approximately normal, what is the probability the average lifetime is greater than 68.34?
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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Question
Energetic Co., a battery manufacturer, claims their battery lasts for 69.83 months with a standard deviation of 10.135 months. You randomly sample 29 of these batteries. Assuming the distribution for the battery lifetime is approximately normal, what is the probability the average lifetime is greater than 68.34?
Expert Solution
Step 1
Answer:- Given , Energetic Co., a battery manufacturer, claims their battery lasts for 69.83 months with a standard deviation of 10.135 months.
Here , sample size n= 29
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