MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Neil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a
mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class?
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- Pattys final exams have an average of 78 and a standard deviation of 6. If she wants 4% of her class to get an A on the final exam, what should be the cut off score for an A?arrow_forwardTwo 2017 high school graduates want to compare their results on college entrance exams. Alex scored 1401 on the SAT, and Olivia scored 32 on the ACT. For 2017, the mean SAT score was 1060, and the standard deviation was 195. That same year, the ACT had a mean score of 21.0 and a standard deviation of 5.6. Calculate a z-score for each student, determine which student had the better test score, and explain why.arrow_forwardThe first exam for a Stats course had a mean of 80 and a standard deviation of 4 points; the second had a mean of 70 and a standard deviation of 15 points. Reginald scored an 80 on the first test and an 85 on the second. Sara scored an 88 on the first but only a 65 on the second. Although Reginald's total score is higher, Sara feels she should get the higher grade. Explain her point of view.arrow_forward
- Suppose you received a score of 95 out of 100on exam 11 . The mean was 79and the standard deviation was 8 . If your score on exam 2 is 90out of 100, and the mean was 60with a standard deviation of 15, then you did:arrow_forwardJared has a mean of 74 on his quizzes, with a standard deviation of 7. On his most recent quiz, he scored a 65. Is this unusual compared to how he usually performs on quizzes?arrow_forwardMario scored 82 on his history final. The class mean was 78 with a standard deviation of 3 points. He scored 72 on his biology final with a mean score of 65 and a standard deviation of 5 points. Which grade was better compared with the class mean referencing a normal distribution? a. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33. b. The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.33 and 1.4. c. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.33and 1.4. d. The history test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.arrow_forward
- My Physics professor announced that top 18% will get A in the class. Class mean is 72, and standard deviation is 6. To get the grade A, what score should I get at least?arrow_forwardSuppose that Jett achieves a score of 1250 on the SAT, and his sister Kate scores 29 on the ACT. The SAT scores are normally distributed with a mean of 1100 and standard deviation of 250. The ACT scores are normally distributed with a mean of about 20 and standard deviation of 5. Who did better, relative to their peers?arrow_forwardUse z scores to compare the given values. The tallest living man at one time had a height of 227 cm. The shortest living man at that time had a height of 98.2 cm. Heights of men at that time had a mean of 172.36 cm and a standard deviation of 5.76 cm. Which of these two men had the height that was more extreme? and the z score for the shortest man is z = the man had the height that was more extreme. Since the z score for the tallest man isz = (Round to two decimal places.)arrow_forward
- Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won $185. How many standard deviations from the mean is that?arrow_forwardSuppose the scores on your last Algebra 2 test were normally distributed, with a mean of 81% and a standard deviation of 3%. To show you how you compared to your classmates, the teacher did not record your grades as per- centages, instead, she wrote them as z-scores. You look at your paper and see "2.66" written at the top. What was your score as a percentage? Explain how you determined your answer.arrow_forwardThis looks like another problem. Read carefully. Sergio is doing a long hike and is carefully calculating his pack weight. An energy bar has mean weight 1.71 ounces and standard deviation 0.037. The weights of the bars are independent. A juice box has mean weight 7.1 ounces and standard deviation 0.25. The weights of the juice boxes are independent. If he takes 3 energy bars and 5 juice boxes, what will be the MEAN of the total weight in pounds from these items? Hint: If W is the weight in ounces, then W/16 is the weight in pounds.arrow_forward
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