13. The sampling distribution of a statistic is O a. the distribution of values taken by a statistic in all possible samples of the same size from the same population. b. the probability that we obtain the statistic in repeated random samples. O c. the mechanism that determines whether randomization was effective. d. the extent to which the sample results differ, systematically from the truth. 14. The scores of individual students on the American College Testing (ACT) Program composite college entrance examination have a Normal distriburion with mean 18.6 and standard deviation 6.0. At Fairfax High School, 36 seniors were randomly selected to take the test. The shape of the sampling distribution of the sample mean score for the 36 students is O a. Normal O b. left skewed O c. right skewed O d. depends on the particular 36 students selected. 15. A random sample of size 25 is to be taken from a population with mean 60 and standard deviation 10. The average of the observations in our sample, the sample mean, * , is to be computed. The sampling distribution of x is O a. approximately Normal with mean 60 and standard error 2 O b. approximately Normal with mean 60 and standard error 0.4 O c. approximately Normal with mean 12 and standard error 2 O d. approximately Normal with mean 60 and standard error 10 16. A study of green sea turtles inhabiting the Grand Cayman South Sound lagoon has historically shown that the curved shell length of these turtles has a distribution that is non-normal with mean 50 cm and standard deviation 10 cm. Suppose a research team randomly selected and measured 14 green sea turtles. For the random sample obtained, the mean curved shell length was found to be 52.3 cm with a standard deviation of 13.8 cm. The shape of the sampling distribution of the sample mean for the sample size n = 14 will be: O a. Non-Normal because the sample mean is larger than the population mean. O b. Normal because the population distribution is non-normal. O c. Non-Normal because the sample size is too small. d. Normal because the sample size is large enough. 17. The weights of extra large eggs have a Normal distribution with a mean of one ounce and a standard deviation of 0.2 ounces. The probability that the mean weight of a random sample of a dozen (12) eggs is more than 1.1 ounces is O a. 0.0418 O b. 0.3085 O c. 0.9582 O d. This probability cannot be determined because the conditions for the Central Limit Theorem are not met.