What requirements must be satisfied? Select all that apply. O A. The sample observations must be a simple random sample. O B. The conditions for a binomial distribution must be satisfied. O C. At least one observation must be above or below 80 sec. O D. Either the population is normally distributed, or n> 30, or both. Are the requirements all satisfied? O A. No. The sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there are no observations above 8 sec. O B. Yes. A normal quantile plot suggests that the sample is from a normally distributed population, and there is enough information to determine that the sample a simple random sample. OC. No. The sample size is not greater than 30, the sample does not appear to be from a normally distributed population, and there is not enough information given to determine whether the sample is a simple random sample. O D. Yes. A normal quantile plot suggests that the sample is from a normally distributed population, and there are observations above and below 80 sec. O E. Yes. The conditions for a binomial distribution are satisfied, and there is enough information to determine that the sample is a simple random sample. O F. No. The conditions for a binomial distribution are not satisfied, and there is not enough information given to determine whether the sample is a simple rando sample.

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.)

Using the appropriate table in textbook (Keller, Appendix B) or Excel, a. find z.05. Draw the distribution and locate the z-value (z.os) in the distribution. b. find-z.05. Draw the distribution and locate the z-value (-z.05) in the distribution. c. find t50,.01. Draw the distribution and locate the t-value (t50,.01) in the distribution. d. find-t50,.01. Draw the distribution and locate the t-value (-t50,.01) in the distribution. e. find X²0,.05. Draw the distribution and locate the x²-value (x²0,05) in the distribution. f. find F2,20,.05. Draw the distribution and locate the F-value (F2,20,.05) in the distribution.

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