10. A certain population has a mean of 13.2 and a standard deviation of 3.8. If random samples of size 5 is taken from this population, which of the following statements is correct? A. The mean of the sampling distribution of the sample means is equal to 13.2. B. The mean of the sampling distribution of the sample means is less than 13.2 C. The standard deviation of the sampling distribution of the sample means is 3.8 D. The standard deviation of the sampling distribution of the sample means is 13.8 11. Which value of standard deviation defines the best estimate of the population mean? A. 0.20 B. 0.37 C. 0.57 D. 1.3 12. A certain population has a mean of 50 and a standard deviation of 4. A random sample of 15 are drawn from this population. Which describes the sampling distribution of the sample means? A. the sampling distribution of the sample means has a mean of 50, variance of 1.067, and a standard deviation of 1.033. B. the sampling distribution of the sample means has a mean greater than 50, and a standard deviation of 0.033. C. the sampling distribution of the sample means has a mean less than 50, and a standard deviation of 1.033. D. the sampling distribution of the sample means has a mean of 50, variance of 1.067, and a standard deviation of 0.033 13. Which of the following statements is correct? A. If samples of size n are drawn from a population, the sampling distribution of the means approaches normal distribution as n gets smaller in size. B. If samples of size n are drawn from a population, the sampling distribution of the means approaches normal distribution as n gets larger in size. C. If samples of size n are drawn from a population, the sampling distribution of the means approaches normal distribution as the standard deviation gets larger in size. D. If samples of size n are drawn from a population, the sampling distribution of the means approaches normal distribution as the standard deviation gets smaller in size. For numbers 14-15. The average acid content of a certain juice drink is 200 milligrams, and a standard deviation of 12 milligrams. Assume the variable is normally distributed, 14. If a juice drink is selected, what is the probability that the acid content will be greater than 210 milligrams? A. 0.2967 B. 0.2033 C. 0.7967 D. 0.2089 15. If a sample of 10 juice drinks is selected, what is the probability that the mean of the sample will be larger than 210 milligrams? A. 0.4959 B. 0.5000 C. 0.0041 D. 0.4211
