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15. A waiter believes that his tips from various customers have a slightly right skewed distribution with a mean of 10 dollars and a standard deviation of 2.50 dollars. What is the probability that the average of 35 customers will be more than 13 dollars? a) almost 1 b) almost zero c) 0.1151 d) 0.8849 Questions 16-19 A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is not perfect, however. The packages are filled with an average of 375 jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8. Yesterday, Jane went to the store and purchased four of these packages in preparation for a Spring party. Jane was curious, and she counted the number of jelly beans in these packages - her four bags contained an average of 382 jelly beans. 16. In the above scenario, which of the following is a parameter? a) The average number of jelly beans in Jane's packages, which is 382. b) The average number of jelly beans in Jane's packages, which is unknown. c) The average number of jelly beans in all packages made, which is 375. d) The average number of jelly beans in all packages made, which is unknown. 17. If you went to the store and purchased six bags of this brand of jelly beans, what is the probability that the average number of jelly beans in your bags is less than 373? a) .2709 b) .3085 c) .4013 d) .7291 18. Why can we use the Z table to compute the probability in the previous question? a) because np>15 and n(1-p) > 15 b) because n is large in this problem c) because the distribution of jelly beans is Normal d) because the average is large 19. According to the central limit theorem, what is the standard deviation of the sampling distribution of the sample mean? a) The standard deviation of the population b) The standard deviation of the sample c) The standard deviation of the population divided by the square root of the sample size d) The standard deviation of the sample divided by the square root of the sample size

15. A waiter believes that his tips from various customers have a slightly right skewed distribution with a mean of 10 dollars and a standard deviation of 2.50 dollars. What is the probability that the average of 35 customers will be more than 13 dollars?
a) almost 1
b) almost zero
c) 0.1151
d) 0.8849

Questions 16-19 A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is not perfect, however. The packages are filled with an average of 375 jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8. Yesterday, Jane went to the store and purchased four of these packages in preparation for a Spring party. Jane was curious, and she counted the number of jelly beans in these packages - her four bags contained an average of 382 jelly beans.

16. In the above scenario, which of the following is a parameter?
a) The average number of jelly beans in Jane's packages, which is 382.
b) The average number of jelly beans in Jane's packages, which is unknown.
c) The average number of jelly beans in all packages made, which is 375.
d) The average number of jelly beans in all packages made, which is unknown.

17. If you went to the store and purchased six bags of this brand of jelly beans, what is the probability that the average number of jelly beans in your bags is less than 373?
a) .2709
b) .3085
c) .4013
d) .7291

18. Why can we use the Z table to compute the probability in the previous question?
a) because np>15 and n(1-p) > 15
b) because n is large in this problem
c) because the distribution of jelly beans is Normal
d) because the average is large

19. According to the central limit theorem, what is the standard deviation of the sampling distribution of the sample mean?
a) The standard deviation of the population
b) The standard deviation of the sample
c) The standard deviation of the population divided by the square root of the sample size
d) The standard deviation of the sample divided by the square root of the sample size

Added by Rodrigo M.

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