A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1527 and the standard deviation was 315 The test scores of four students selected at random are 1930, 1270, 2210, and 1400 Find the z-scores that correspond to each value and determine whether any of the values are unusual The z-score for 1930 is (Round to two decimal places as needed.) The z-score for 1270 is (Round to two decimal places as needed.) The z-score for 2210 is (Round to two decimal places as needed) The z-score for 1400 is (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice OA. The unusual value(s) is/are (Use a comma to separate answers as needed.) OB. None of the values are unusual.

Use z scores to compare the given values. The tallest living man at one time had a height of 246 cm. The shortest living man at that time had a height of 116.2 cm. Heights of men at that time had a mean of 170.86 cm and a standard deviation of 8.41 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = ☐, the man had the height that was more extreme. Since the z score for the tallest man is z = (Round to two decimal places.)

Grace has a dog and its weight is z = -0.5lbs.  Her current weight is 47 lbs.  The average weight for medium-sized dogs is 50 lbs.  What is the standard deviation for a dog of her size?

As reported in Runner's World Magazine, the times of finishers in the New York City 10-km run are normally distributed with a mean of 60 minutes and standard deviation of 7 minutes. What would a runner's finishing time have to be for his/her finishing time to be 1.6 standard deviations above the mean of 60 minutes? You must use the z- score formula and solve for X. Round to the 10ths place.