7) Find the z value that corresponds to the given area. -0.9115 7 ) A) -1.25 B) -0.09 C) -1.35 D) -0.91 8) Find the z-scores that bound the middle 74% of the area under the standard normal curve. 8) A) -1.24, 1.24 B) -1.07, 1.07 C) -1.13, 1.13 D)-0.99, 0.99 9) If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12, find the percentage of scores that will fall below 50. 9) A) 35.54% B) 6.75% C) 45.25% D) 4.75% 10) The average gas mileage of a certain model car is 30.0 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 0.75 miles per gallon, find the probability that a car has a gas mileage of between 29.8 and 30.2 miles per gallon. 10) A) 0.213 B) 0.273 C) 0.287 D) 0.107 1 1) In order to be accepted into a certain top university, applicants must score within the top 5% on the SAT exam. Given that the exam has a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university? 11) A) 1100 B) 1400 C) 1250 D) 1329 12) X is a normally distributed random variable with a mean of 8 and a standard deviation of 2.0. Find the value of X for which 70.54% of the area under the distribution curve lies to the right of it. (Note: the diagram is not necessarily to scale.) 12) A) 7.28 B) 6.92 C) 7.46 D) 9.95 13) X is a normally distributed random variable with a mean of 1 1.0 and a standard deviation of 4.00. Find the value x such that is equal to 0.86. (Note: the diagram is not necessarily to scale.)MULTIPLE CHOICE. Choose the alternative that best completes the statement ( 245 Cach) 1) If a normal distribution has a mean of 20 and a standard deviation of 10, then A) the median is 10 and the mode is 30. B) the median is 20 and the mode is 20. C) the median is 20 and the mode is 30. D) the median is 30 and the mode is 10. 2) The figure below is an example of a negatively skewed distribution. 2) A) False B) True 3) Stating that the area under the standard normal distribution curve between = and = =1. is 0.3413, is the same as stating that the - of randomly selecting a standard normally distributed variable z with a value between 0 and 1.00 is 0.3413. 3) A) probability B) range C) error D) score 4) Find the area under the standard normal distribution curve between = =and = = -2.16. -2.16 0 4) A) 0.3708 B) 0.9846 C) 0.4846 D) -2.1600 5) Find the area under the standard normal curve to the right of z = 2.7. 5) A) 0.0035 B) 0.0018 C) 0.9965 D) 0.4965 6) What is the z value such that 50% of the total area under the standard normal distribution curve lies to the right of it? 6) A) 0.5 B) 3.5 C) 1 DO