A random sample of n = 81 observations is drawn from a population with a mean equal to 19 and a standard deviation equal to 18. Complete parts a through g below. a. Give the mean and standard deviation of the (repeated) sampling distribution x. (Type integers or decimals.) b. Describe the shape of the sampling distribution of x. Does this answer depend on the sample size? Choose the correct answer below. O A. The shape is that of a uniform distribution and does not depend on the sample size. B. The shape is that of a normal distribution and does not depend on the sample size. C. The shape is that of a normal distribution and depends on the sample size. D. The shape is that of a uniform distribution and depends on the sample size. c. Calculate the standard normal z-score corresponding to a value of x = 14.6. (Type an integer or a decimal.)

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.