4. A company claims that their laptops have an average battery life of 6 hours with a standard deviation of 0.5 hours. Suppose a random sample of 36 laptops is taken from the production line. (a) Is it possible that the sample mean battery life is less than 5.5 hours? Explain. (b) Can the sample mean battery life be more than 6.2 hours? Justify your answer. (c) What can you say about the probability of the sample mean battery life being between 5.8 and 6.2 hours?
4. A company claims that their laptops have an average battery life of 6 hours with a standard deviation of 0.5 hours. Suppose a random sample of 36 laptops is taken from the production line. (a) Is it possible that the sample mean battery life is less than 5.5 hours? Explain. (b) Can the sample mean battery life be more than 6.2 hours? Justify your answer. (c) What can you say about the probability of the sample mean battery life being between 5.8 and 6.2 hours?
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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![4. A company claims that their laptops have an average battery life of 6 hours with a standard
deviation of 0.5 hours. Suppose a random sample of 36 laptops is taken from the
production line.
(a) Is it possible that the sample mean battery life is less than 5.5 hours? Explain.
(b) Can the sample mean battery life be more than 6.2 hours? Justify your answer.
(c) What can you say about the probability of the sample mean battery life being between
5.8 and 6.2 hours?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8a9802b-ded9-4a7b-93c8-71218002814a%2Ff4d08ee2-f3ac-4f27-8053-8980fe707f63%2Flziwhrb_processed.png&w=3840&q=75)
Transcribed Image Text:4. A company claims that their laptops have an average battery life of 6 hours with a standard
deviation of 0.5 hours. Suppose a random sample of 36 laptops is taken from the
production line.
(a) Is it possible that the sample mean battery life is less than 5.5 hours? Explain.
(b) Can the sample mean battery life be more than 6.2 hours? Justify your answer.
(c) What can you say about the probability of the sample mean battery life being between
5.8 and 6.2 hours?
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