Homework Assignment #7 (Chapter 13) STAT 1350, Spring 2021 I. The credit cards issued by a particular bank have balances that are Normally distributed, with a mean of $845 and a standard deviation of $215. Approximately what percentage of these credit card balances are smaller than (or less than) $600? A. 035% B. 250%% C. 13.57% D. 24.20%% E. 86.43% 2. At Fast Freddie's Auto Service, customers are promised that they should not have to wait more than 20 minutes for oil and lube service on their vehicle. If customers do have to wait more than 20 minutes, Freddic will give them a 50%% discount on their vehicle service. It turns out that the distribution of wait times for oil and lube service at Freddie's is Normal, with a mean of 15.4 minutes and a standard deviation of 2.2 minutes. This means that approximately _of Freddie's customers will have to wait more than 20 minutes for oil and lube service on their vehicle. A. 1.79% B. 3.59% C. 5.48%% D. 8.08%% E. 10% or more 3. In Lake Erie, walleye fish are abundant. The lengths of walleyes are Normally distributed, with a mean of 31 inches and a standard deviation of 3.6 inches. Based on this information, along with your understanding of the Empirical Rule, which one of the following statements is correct? A. Approximately 95% of the walleyes have lengths between 27.4 inches and 34.6 inches. B. Approximately 95%% of the walleyes have lengths between 23.8 inches and 38.2 inches. C. Approximately 68%% of the walleyes have lengths between 31 inches and 34.6 inches. D. Approximately 68%% of the walleyes have lengths between 27.4 inches and 38.2 inches. E. Approximately 99.7%% of the walleyes have lengths between 21.8 inches and 34.6 inches.4. Scores on a physical endurance test are Normally distributed, with a mean of 69 points and a standard deviation of 5 points. Clark is told that his score is at Q1. This means Clark's test score must be A. lower than 59 points. B. between 59 points and 64 points. C. between 64 points and 69 points. D. between 69 points and 74 points. E. higher than 74 points. 5, The weights of hockey pucks produced by a particular factory are Normally distributed, with a mean of 5.75 ounces and a standard deviation of 0. I I ounce. What percentage of these pucks weigh between 5.6 ounces and 5.9 ounces? A. 61.79% B. 83.84%% C. 38.21% D. 13.57%% E. 50,00%% 6. Consider a large population of healthy adults whose body temperabares were measured. The resulting distribution of body temperatures is Normal in shape, with a mean of 98. 2 degrees Fahrenheit and a standard deviation of 0.7 degrees Fahrenheit. What percentage of the adults in this distribution have body temperatures greater than for larger than) 98.6 degrees Fahrenheit? A. 72.586 C. 11.516 D. 27.4196 E. 6.68%% 7. The lengths of NCAA college baseball games are Normally distributed, with a mean of 164.8 minutes and a standard deviation of 8.3 minutes. A game at the 62" percentile lasts approximately how many minutes? A. 1673 B. 169.7 C. 173.1 D. 1623 E. 170.48. The pulse rates (or number of heart beats per minute) for a large population of adults are Normally distributed, with a mean of 70.I beats per minute and a standard deviation of I I 4 beats per minute. When Gabriel's pulse rate is converted to a E-score, it is found that 2 - 0. What does this mean? A. Gabriel has no pulse. B. Gabriel's pulse rate is below average. C. Gabriel's pulse rate is lower than the median pulse rate. D. Gabriel's pulse rate is at the 50" percentile. E. None of the above answer options are correct. 9. Within one local school district, a standardized test of achievement is given each year to 4h grade students. Scores on this test are Normally distributed, with a mean of 180 points and a standard deviation of 18 points. Any student who scores in the top 10%% of this distribution will automatically be considered for placement in a more accelerated educational program. Approximately what test score cuts off the top 10% of this distribution? A. 216 points B. 190 points C. 203 points D. 237 points E. 360 points 10. Anjali takes three different intelligence tests (Test I, Test II, and Test III), and she scores 500 on each of these three tests. The means and standard deviations for each test are shown in the table below, and each test has a Normal distribution of scores. Assuming that higher scores on each test are better, on which test did Anjali perform the best? Mean Standard Deviation Test I 370 115 Test II 460 20 Test III 400 A. Test I B. Test II C. Test III D. Anjali performed equally well on all three tests. E. There is not enough information available here to answer this