The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 140, while the mean score was 79 and the standard deviation was 15. 34 49 64 79 94 109 124 Distribution of Test Scores Use the "E_mP_irical Rule", not a calculator or other technology. Do not round your answers. What is the approximate percentage students who scored between 64 and 94 on the test? % What is the approximate percentage of students who scored between 79 and 94 on the test? % What is the approximate percentage of students who scored between 49 and 109 on the test? % What is the approximate percentage of students who scored higher than 109 on the test? % For a 4-units class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 27 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 3.2 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week. For a 4-units class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on students, and the distribution of total study hours per week is bell-shaped with a mean of 15 hours and a standard deviation of 2 hours. Use the Empirical Rule to answer the following questions. a) 99.7% of the students have study hours that are between and c) What percentage of the students have study hours that are above 11? % The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 48 ounces and a standard deviation of 6 ounces. Use the 68-95-99] rule (also known as the Empirical Rule). Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between 42 and 54 b) What percentage of the widget weights lie between 42 and 66 ounces? 95 % c) What percentage of the widget weights lie below 60 2' % The time to complete an exam is approximately Normal with a mean of 46 minutes and a standard deviation of 9 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. Fill in the indicated boxes. p-30 p-ZO [,1-0 p. \"+0 \"+20 p+30 A researcher studying frogs is investigating the distance that a certain species of frog can jump. The jump lengths appear to be approximately normally distributed with a mean of 85 inches and a standard deviation of 8 inches. Directions: Make a sketch of the "empirical rule" for this setting; a) What proportion of frog jumps are less than 69 inches? (Enter a proprtion as a decimal, not a %) b) What jump lengths represent the middle 95% of frog jumps? Between and c) What is the probability of observing a random frog jump that is longer than 93 inches? (Enter a proprtion as a decimal, not a %) Use the Empirical Rule. (Do not use technology. Technology will give a slightly different answer. ) Draw a sketch of the normal distribution and label the mean and 1, 2, and 3 standard devitons above and below the mean with computed values. Assume that the weight of 1-year-old girls in the USA is normally distributed with Mean = 9.5 kg, Standard Deviation = 1.1 kg. (a) 68% of the data is between which 2 values? kg -- kg (b) 95% of the data is between which 2 values? kg -- kg (c) What percentage of the data is less than 8.4 kg? % (d) What percentage of the data is between 7.3 kg and 11.7 kg? (w) What percentage of the data is more than 12.8 kg?The heights of American adult males are normally distributed with a mean of 177 cm and a standard deviation of 7.4 cm. Use the Empirical Rule to find the range of heights that contain approximately (a) 68% of the data cm " cm (b) 95% of the data cm -' cm (c) 99.7% of the data cm " cm