(Solved): Questions 27-30 are based on the following information: A population has a mean of 870 and a varianc ...

Questions 27-30 are based on the following information: A population has a mean of 870 and a variance of 1,600 . A random sample of size 64 is drawn from the population. 27. What is the population standard deviation? A. 64 B. 53 C. 40 D. 37 28. What is the probability that the sample mean is less than 860 is A. 0.0228 B. 0.0626 C. 0.0185 D. 0.0899 29. What is the probability that the sample mean is less than 875 is A. 0.5544 B. 0.6826 C. 0.7185 D. 0.8413 30. What is the probability that the sample mean is between 860 and 875 is A. 0.9544 B. 0.6826 C. 0.8185 D. 0.5899The mean of the sample means for a given size ( n ) of sample is equal to A. the population mean divided by

B. the population mean C. the population mean divided by the square root of

D. zero