5 Exercise 8-6 (Algo) (LO8-3) 7.69 A population consists of the following five values: 1, 2, 4, 4, and 6. points a. List all samples of size 2 from left to right, and compute the mean of each sample. (Round your mean value to 1 decimal place.) Sample Values Sum Mean eBook Print References 10 . Compute the mean of the distribution of sample means and the population mean. Compare the two values. (Round your answers to 1 decimal place. Sample means Population mean Both means are c. Compare the dispersion in the population with that of the sample mean. The range of the sample means is: [(Click to select)11 7.6 9 points References Exercise 8-15 (Algo) (LOB-5) A normal population has a mean of $77 and standard deviation of $18. You select random samples of nine. a. Apply the central limit theorem to describe the sampling distribution of the sample mean with n = 9. With the small sample size, what condition is necessary to apply the central limit theorem? b. What is the standard error of the sampling distribution of sample means? (Round your answer to 2 decimal places.) _:| c. What is the probability that a sample mean is greater than $80? (Round zvalue to 2 decimal places and nal answer to 4 decimal places.) :| d. What is the probability that a sample mean is less than $73? (Round z-value to 2 decimal places and nal answer to 4 decimal places.) :| e. What is the probability that a sample mean is between $73 and $80? (Round z-value to 2 decimal places and final answer to 4 decimal places.) :| f. What is the probability that the sampling error ( i - u.) would be $9 or more? That is, what is the probability that the estimate ofthe population mean is less than $68 or more than $86? (Round z-value to 2 decimal places and final answer to 4 decimal places.) :|