a w v u (a) A sample survey is an example of an experimental study. A. True B. False (b) Observational studies does not involve the manipulation of variables by the inves- tigator. A. True B. False (c) If P(A) is the probability that an event A will occur, then 0 S P(A) S 2. A. True B. False (d) If two events A and B are mutually exclusive, then P(A or B) = O. A. True B. False (e) If 5' represents the sample space of a random process, then P(S) = 1. A. True B. False (f) According to the Central Limit Theorem, if a random variable X does not h_ave a normal distribution in a population, the distribution of all sample means X is approximately normal as long as the sample size is large enough. A. True B. False (g) For a normal distribution, approximately 68% of all data falls within two standard deviations from the mean of the distribution. A. True B. False (h) The mean of the distribution of all sample means depends on the sample size. A. True B. False (i) For large sample sizes, the distribution of all sample means has a smaller spread than the population normal distribution. A. True B. False (j) If 2 represents a particular z-score and P(z > c)