Question 1: suppose a normal distribution has a mean of 20 and standard deviations away from the mean? a value of 26 is how many standard deviations away from the mean? 1.5, -1.5, -.05, 0.5 question 2: a normal distribution has a mean of 20 and a standard deviation of 4. what is the z-score of a value that is 0.52 standard deviations less than the mean? -0.52, -0.13, 0.13, 0.52 question 3: suppose the ages of cars driven by employees at the company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. what is the z-score of a car that is 6 years old? -0.626, 1.6, -1.6, 0.625 question 4: suppose a manufacturer makes disposable peppercorn grinders. the number of peppercorns in the grinders is normally distributed with a mean of 322 peppercorns and a standard deviation of 5.3 peppercorns. suppose the manufacturer will only sell peppercorn grinders with a z-score between -0.9 and 0.9. what are the least and most peppercorns a grinder can contain? least 290; most 354 least 318; most 326 least 308; most 336 least 275; most 369 question 5: suppose the velocities of gold swings for amateur golfers are normally distributed with a mean of 96 mph and a standard deviation of 3.9 mph. what is the difference in velocities between a golfer whose z-score is 0 and another golfer whose z-score is -1. 2.9 mph 1.95 mph 3.9 mph 7.8 mph