U E S T I O N 1 Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes less than $28,000. A . B . C . D . 0.99 81 0.21 13 0.09 18 0.98 27 Q U E S T I O N 2 Provide an appropriate response. Assume that the random variable X is normally distributed, with mean and standard deviation A . B . C . D . Compute the probability P(38 < X < 70). 0.89 14 0.88 19 0.78 88 0.89 44 Q U E S T I O N 3 Provide an appropriate response. Find the area of the indicated region under the standard normal curve. A 0.09 . 68 B 0.90 . C . D . 32 0.08 23 0.91 77 Q U E S T I O N 4 Provide an appropriate response. Use the standard normal distribution to find P(-2.50 < z < 1.50). A . B . C . D . 0.88 22 0.92 70 0.54 96 0.61 67 Q U E S T I O N 5 Provide an appropriate response. Assume that the random variable X is normally distributed, with mean and standard deviation Compute the probability P(X < 75). A . B . C . D . 0.89 44 0.90 15 0.88 49 0.10 56 Q U E S T I O N 6 Provide an appropriate response. Assume that the random variable X is normally distributed, with mean deviation Compute the probability P(X > 92). A . B . 0.24 20 0.78 81 and standard C . D . 0.21 19 0.19 77 Q U E S T I O N 7 Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The cheerleaders for a local professional basketball team must be between 65.5 and 68.0 inches. If a woman is randomly selected, what is the probability that her height is between 65.5 and 68.0 inches? A . B . C . D . 0.78 81 0.18 44 0.96 08 0.31 12 Q U E S T I O N 8 Provide an appropriate response. Find the area of the indicated region under the standard normal curve. A . B . C . D . 0.65 62 0.34 38 1.30 9 0.30 9 Q U E S T I O N 9 Provide an appropriate response. Find the area of the indicated region under the standard normal curve. A . B . C . D . 0.09 68 0.40 32 0.90 32 0.08 23 Q U E S T I O N 1 0 Provide an appropriate response. Find the area under the standard normal curve between z = 1.5 and z = 2.5. A . B . C . D . 0.99 38 0.98 16 0.93 32 0.06 06 Q U E S T I O N 1 Provide an appropriate response. Use the Standard Normal Table to find the probability. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with = 15.5 and = 3.6. What is the probability that during a given week the airline will lose more than 20 suitcases? A . B . C . D . 0.40 40 0.89 44 0.10 56 0.39 44 Q U E S T I O N 2 Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that the salaries of elementary school teachers in the United States are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that he or she makes more than $36,000. A . B . C . D . 0.40 40 0.10 56 0.09 18 0.90 82 Q U E S T I O N 3 Provide an appropriate response. The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 22.2 and the standard deviation was 4.9. The test scores of four students selected at random are 16, 24, 9, and 35. a) Find the z-scores that correspond to each value. b) Determine whether any of the values are unusual. _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ ______ Q U E S T I O N 4 Provide an appropriate response. Find the area under the standard normal curve between z = 1 and z = 2. A . B . C . D . 0.84 13 0.13 59 0.21 39 0.53 98 Q U E S T I O N 5 Provide an appropriate response. Find the area under the standard normal curve to the left of z = 1.25. A 0.89 . B . C . D . 44 0.23 18 0.10 56 0.76 82 Q U E S T I O N 6 Provide an appropriate response. Find the area under the standard normal curve to the right of z = 1. A . B . C . D . 0.15 87 0.84 13 0.53 98 0.13 97 Q U E S T I O N 7 Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The U.S. Army requires that the heights of women be between 58 and 80 inches. If 200 women want to enlist in the U.S. Army, how many would you expect to meet the height requirements? Q U E S T I O N 1 Provide an appropriate response. Use the Standard Normal Table to find the probability. Assume that blood pressure readings are normally distributed with and A blood pressure reading of 145 or more may require medical attention. What percent of people have a blood pressure reading greater than 145? A . B . 0.09 % 11.09 % C . D . 99.91 % 6.06 % Q U E S T I O N 2 Find the probability of z occurring in the indicated region. A . B . C . D . 0.93 32 0.09 18 0.90 82 0.06 68 Q U E S T I O N 3 Provide an appropriate response. Find the area under the standard normal curve to the right of z = 1. A . B . C . D . 0.13 97 0.15 87 0.84 13 0.53 98 Q U E S T I O N 4 Provide an appropriate response. Find the area under the standard normal curve between z = -1.25 and z = 1.25. A 0.21 . B . C . D . 12 0.78 88 0.88 17 0.64 12 Q U E S T I O N 5 Provide an appropriate response. Use the Standard Normal Table to find the probability. An airline knows from experience that the distribution of the number of suitcases that get lost each week on a certain route is approximately normal with = 15.5 and = 3.6. What is the probability that during a given week the airline will lose less than 20 suitcases? A . B . C . D . 0.89 44 0.40 40 0.39 44 0.10 56