9. Scores on an anxiety scale form a normal distribution with a mean of u = 76 and G = 14. If a random sample of n = 22 is selected and the mean score is computed for this sample, then a. Of all the possible sample means, what proportion will be greater than 837 (2-points) b. What proportion of the sample means will be less than 687 (2-points) c. What proportion of the sample means will be greater than 707 (2-points) d. What proportion will be within 4 points of the population mean (hint: this means 4 points TOTAL area above and below the mean - two points above and two points below)? (3-points) 10. The average age for registered voters in Bremer County is u = 35.8 years with o = 12.2 and is normally distributed. During a recent jury trial in the county courthouse, a statistician noted that the average age for the twelve jurors was 38.6 years. a. How likely is it to obtain a jury whose average age is greater than 38.6 years? (2-points) b. What proportion of juries obtained would be expected to have an average age between 35 and 38 years? (3-points) than 70 11. For a normally distributed population with u = 66 and o = 14, what is the probability of obtaining a sample mean greater a. for a random sample of n = 5 scores? (2-points) b. for a random sample of n = 50 scores? (2-points) c. Why is the probability figure different even though the sample mean is the same and what are the implications of this for the distribution of sample means? (3-points)