Question: A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the continuous-use life of D

A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the “continuous-use life” of D batteries.As fresh batteries were installed, each flashlight was turned on and the time noted.When the flashlight no longer produced light, the time was again noted.The resulting “life” data from Rayovac batteries had a mean of 21.0 hours. Source: www.rayovac.com. Assume these values have a normal with a standard deviation of 1.38 hours.
a. What is the probability that one randomly selected Rayovac battery will have a test life of between 20.5 and 21.5 hours?
b. What is the probability that a randomly selected sample of 4 Rayovac batteries will have a mean test life of between 20.5 and 21.5 hours?
c. What is the probability that a randomly selected sample of 16 Rayovac batteries will have a mean test life of between 20.5 and 21.5 hours?
d. What is the probability that a randomly selected sample of 64 Rayovac batteries will have a mean test life of between 20.5 and 21.5 hours?
e. Describe the effect that the increase in sample size had on the answers for parts b–d

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