in which subject is his standing better assuming normality in both subjects
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- You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed, with a mean of 72 (out of 100) and a standard deviation of 12 . Your score was 96 . You would like to know what proportion of students did better than you did. Unfortunately, your calculator batteries are dead and you must now rely on Normal tables. You need to find which of the following? the area to the left of 2 the area to the right of 2 the area to the right of 96 the area to the left of 96TYPEWRITTEN ONLY FOR UPVOTE. DO THIS COMPLETELY. SHOW SOLUTIONS AND ALSO FILL OUT THE TABLE BELOW. SKIP IF YOU ALREADY DID THISSuppose 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?
- One of the z-score formulas will help on this question. Scores on the SAT test are normally distributed with a mean of 500 and standard deviation of 100 points. Pretend someone scored 400 on the math portion of the SAT test. What would be the z-score cut off for this score? A. 1.0 B. -1.0 C. 0 D. 2.0Consider two completely different data sets: price per gallon of gas in Fort Pierce and SAT scores of students at a certain high school. The price per gallon of gas data set has a mean of $2.95 and a standard deviation of S1.15. The high school SAT scores data set has a mean of 1078 and a standard deviation of 198. Calculate the Coefficient of Variation for both data sets. Round solutions to one decimal place, if necessary. Coefficient of Variation for the price per gallon of gas data set: Coefficient of Variation for high school SAT scores data set: Which data set has greater variability? Price per gallon of gas Thus, we see that when comparing two data sets, the data set with the larger standard deviation does not v necessarily have greater variabilty. Check All PartsUse z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
- Alice was told that her reading test score was one standard deviation below to me if test scores were approximately normal with m= 86 and standard deviation= 4. What was Alice's score?Suppose 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.Do question 1
- 2. On a standardized test, Sara had a score of 81, which was exactly 2 standard deviations below the mean. If the standard deviation for the test is 3, what is the mean score for the test?Suppose the scores on an exam have a mean of 70 with a standard deviation of 10. If one student hasa test result with a z-score of -0.8 and a second student has a test result with a Z-score of 1.8, how many points higher was the second student's score than that of the first? O a. 10 O b. 20 O c. 2.6 O d. 13 O e. 26The average of the final exam grades of a course attended by four hundred students is calculated as 60 points and the standard deviation as 15 points. A letter grade will be given to those who score 80 and above in the exam. What is the rate of 0 and above and how many people can be estimated to get A?
