Question

In: Statistics and Probability

Business Scores on the Graduate Management Association Test (GMAT) are approximately normally distributed. The mean score...

Business Scores on the Graduate Management Association Test (GMAT) are approximately normally distributed. The mean score for 2013–2015 was 552 with a standard deviation of 121. For the following exercises, find the probability that a GMAT test taker selected at ran dom earns a score in the given range, using the normal distribution as a model. (Data from: www.gmac.com.)

31. Between 540 and 700

32. Between 300 and 540

34. Less than 400

35. Greater than 750

36. Between 600 and 700

Solutions

Expert Solution


Related Solutions

Suppose that test scores on the Graduate Management Admission Test (GMAT) are normally distributed with a...
Suppose that test scores on the Graduate Management Admission Test (GMAT) are normally distributed with a mean of 530 and standard deviation of 75. a. What GMAT score separates the highest 15% of the scores from the rest? Do not round intermediate calculations. Round your answer to the nearest whole number. GMAT score = b. What GMAT score corresponds to the 97 percentile? Do not round intermediate calculations. Round your answer to the nearest whole number. GMAT score = c....
Scores of a standardized test are approximately normally distributed with a mean of 85 and a...
Scores of a standardized test are approximately normally distributed with a mean of 85 and a standard deviation of 5.5. (a) What proportion of the scores is above 90? (b) What is the 25th percentile of the scores? (c) If a score is 94, what percentile is it on?
A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was...
A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 21.4 and the standard deviation was 5.4. The test scores of four students selected at random are 15​, 22​, 9​, and 36. Find the​ z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 15 is:
A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was...
A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1507 and the standard deviation was 315. The test scores of four students selected at random are 1900​, 1260​, 2220​, and 1390. Find the​ z-scores that correspond to each value and determine whether any of the values are unusual. The​ z-score for 1900 is nothing. ​(Round to two decimal places as​ needed.) The​ z-score for 1260 is nothing. ​(Round to two decimal places as​...
The Graduate Management Admission Test (GMAT) has scores from 100 to 900. Scores are supposed to...
The Graduate Management Admission Test (GMAT) has scores from 100 to 900. Scores are supposed to follow a Normal distribution with a mean of 500 and standard deviation of 150. a. Suppose you earned a 800 on your GMAT test. From that information and the 68-95-99.7 Rule, where do you stand among all students who took the GMAT? b.Suppose you earned a 450 on your GMAT test. Where do you stand among all students who took the GMAT? c. Assuming...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 18. (b) Write the equation that gives the z score corresponding to a Stanford–Binet IQ test score. z = (x – 100 ) / 18 (c) Find the probability that a randomly selected person has an IQ test score. (Round your answers to 4 decimal places.) 1. P(x > 135) 2. P(x < 89) 3. P(71 < x < 129) − =...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 18. (b) Write the equation that gives the z score corresponding to a Stanford–Binet IQ test score. z = (x – 100 ) / 18 (c) Find the probability that a randomly selected person has an IQ test score. (Round your answers to 4 decimal places.) 1. P(x > 135) 2. P(x < 89) 3. P(71 < x < 129) − =...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard...
Stanford–Binet IQ Test scores are normally distributed with a mean score of 100 and a standard deviation of 11. (b) Write the equation that gives the z score corresponding to a Stanford–Binet IQ test score. z = (x – 100 ) / 11 (c) Find the probability that a randomly selected person has an IQ test score. (Round your answers to 4 decimal places.) 1. P(x > 134) .001 2. P(x < 80) .0345 3. P(84 < x < 116)...
Suppose that GMAT scores of all MBA students in Canada are normally distributed with a mean...
Suppose that GMAT scores of all MBA students in Canada are normally distributed with a mean of 550 and a standard deviation of 120. a. A university (that is representative of the MBA students in the U.S.) claims that the average GMAT scores of students in its MBA program are at least 550. You take a sample of 121 students in the university and find their mean GMAT score is 530. Can you still support the University’s claim? Test at...
The scores on an examination in biology are approximately normally distributed with mean 500 and an...
The scores on an examination in biology are approximately normally distributed with mean 500 and an unknown standard deviation. The following is a random sample of scores from this examination. 406, 413, 441, 477, 530, 550 Find a 99% confidence interval for the population standard deviation. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) What is the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT