For numbers 11-15, refer to the following problem. Suppose that the shelf life of Buko pies has a normal distribution with a mean of 36 hours and a standard deviation of 2.4 hours. Random samples of size 25 are taken. 11. What is the mean of the sampling distribution of the sample mean? A. 24 В. 30 С. 36 D. 42 12. What is the variance of the sampling distribution of the sample mean? A. 0.096 B. 0.2304 С.0.48 D. 1 13. What is the probability that the average shelf life of a random sample of size 25 is greater than 35 hours? A. 1 B. 0.9912 C. 0.9812 D.0.9712

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Answer 11, 12 and 13

For numbers 11-15, refer to the following problem. Suppose that the shelf life of Buko pies has a
normal distribution with a mean of 36 hours and a standard deviation of 2.4 hours. Random samples of
%3D
size 25 are taken.
11. What is the mean of the sampling distribution of the sample mean?
A. 24
В. 30
С. 36
D.42
12. What is the variance of the sampling distribution of the sample mean?
A. 0.096
B. 0.2304
C. 0.48
D.1
13. What is the probability that the average shelf life of a random sample of size 25 is greater than
35 hours?
А. 1
B.0.9912
C. 0.9812
D.0.9712
14. What is the probability that the shelf life of the random sample of size 25 is less than 36.5
hours?
A. 0.8485
B.0.8508
C. 0.8531
D.0.8554
15. What is the probability that the shelf life of the random sample of size 25 is between 35 to 37
hours?
A. 0.8941
B.0.8961
C.0.8972
D. 0.8983
Transcribed Image Text:For numbers 11-15, refer to the following problem. Suppose that the shelf life of Buko pies has a normal distribution with a mean of 36 hours and a standard deviation of 2.4 hours. Random samples of %3D size 25 are taken. 11. What is the mean of the sampling distribution of the sample mean? A. 24 В. 30 С. 36 D.42 12. What is the variance of the sampling distribution of the sample mean? A. 0.096 B. 0.2304 C. 0.48 D.1 13. What is the probability that the average shelf life of a random sample of size 25 is greater than 35 hours? А. 1 B.0.9912 C. 0.9812 D.0.9712 14. What is the probability that the shelf life of the random sample of size 25 is less than 36.5 hours? A. 0.8485 B.0.8508 C. 0.8531 D.0.8554 15. What is the probability that the shelf life of the random sample of size 25 is between 35 to 37 hours? A. 0.8941 B.0.8961 C.0.8972 D. 0.8983
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