E1 MAT141_Quiz15-12.4&12.5.pdf-AdobeReader 5' File Edit View Mudaw Help a @$@@llu Wlwl1ooaevldl|| Tools SignECommem: A 1. [2 pts.] Assume that the mean weight of leyeareold girls in the U.S.A. is normally distributed, with a mean of 9.5 kilograms and a standard deviation of 1.1 kilograms. Using the 689599} Rule, find the percentage of 1yearold girls who are less than 6.2 kg. Draw a normal distribution curve and shade the proper region. Round answers to the nearest tenth of a percent. 2. [1 pt. each] The grades on a statistic midterm for a high school are normally distributed, with p: : 31 and 0' = 6.3. Calculate the zscores for each of the following exam grades: 65 and 93. Round 2 scores to two decimal places. 3. [6 pts.] A group of diners were asked how much they would pay for a meal. Their responses were: $7.50, $8.25, $9.00, $8.00, $7.25, $7.50, 58.00, $7.00. By hand, nd the 5number summary and create a box plot for this data [rou nd answers to two decimal places]. 4. [2 pts. each] Calculate the following percentages using your graphing calculator. Sketch a standard normal distribution curve for each example, then shade the proper region. Round all percentages to a tenth of decimal. a. z 2 70.79 b. 1.56 S 2 S 0.32 5. [3 pts. each] Not everyone pays the same prioe forthe same model of a car. The prices paid for a particular model of a new car is normally distributed with a mean of $17,000 and a standard deviation of 5500. Using your graphing calculator, find the percentages of people purchasing a car that meets the following criteria. Draw a normal distribution curve for each example and shade the proper region. Round answers to the nearest tenth of a percent. a. Between $16,670 and $17,915 b. Less than $16,755