Apple claims that the battery life of an lphone averages (mean) 38 hours, with a

Question

Apple claims that the battery life of an lphone averages (mean) 38 hours, with a standard deviation of 11.2 hours. Over the next 6 charges, you decide to calculate the average battery life(). Use this information to answer the next 3 questions. 14. The sampling distribution for the average battery life over the next 6 charges, , is approximately Normal with what mean, and what standard deviation? a. b, C. d, Mean = 38, SD = 11.2 Mean = 38, SD = 4.57 Mean = 15.5, SD = 11.2 Mean = 15.5, SD = 4.57 15. What is the probability that the average life over the next 6 charges is less than 24 hours? a. 0.1056 b. 0.8944 c. 0.0011 d. 0.9989 16. What is the probability that the average life over the next 6 charges is more than 48 hours? a. 0.0143 b. 0.9857 c. 0.8133 d. 0.1072

Explanation / Answer

mean = 38
std. dev. = 11.2

16)
n = 6

P(X > 48)
= P(z > (48 - 38)/(11.2/sqrt(6)))
= P(z > 2.187)
= 0.01437

Option (A) is correct

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