Determine whether the statement is true or false. If it is false, rewrite it as a true staternent. A sampling distribution is normal only if the population is normal. Choose the correct answer below. O A. The statement is false. A sampling distribution is never normal. O B. The statement is false. A sampling distribution is normal only if n2 30. O C. The statement is true. O D. The statement is false. A sampling distribution is normal if either n230 or the population is normal.

K The population of ages at inauguration of all U.S. Presidents who had professions in the military is 62, 46, 68, 64, 57. Why does it not make sense to construct a histogram for this data set? Choose the correct answer below. O A. With a data set that is so small, the true nature of the distribution cannot be seen with a histogram. OB. There must be an even number of data values in the data set to create a histogram. OC. This data set would yield a histogram that is not bell-shaped. O D. Adequate class boundaries for a histogram cannot be found with this data set.

Complete parts (a) through (e) for the population data below. 2, 4, 6 d. For each of the possible sample sizes, find the probability that the sample mean will equal the population mean. n Probability 1 1 3 2 3 3 1 (Type integers or simplified fractions.) e. For each of the possible sample sizes, find the probability that the sampling error made in estimating the population mean by the sample mean will be 0.5 or less (in magnitude), that is, that the absolute value of the difference between the sample mean and the population mean is at most 0.5. n 1 2 3 Probability (Type integers or simplified fractions.)

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