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 the GMAT scores are nearly normal with N(500, 150), what proportion of GMAT scores falls between 400 and 700?

Solutions

Expert Solution

I HOPE I WAS HELPFUL AND HAVE CLEARED YOUR DOUBTS.

THANKYOU

orchestra answered 1 year ago

Next > < Previous

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....

The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of...

The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Total scores on the GMAT are normally distributed. The Graduate Management Admission Council, who administers the test, claims that the mean total score is 580. Suppose a random sample of 8 students took the test, and their scores are given below. 640 610 560 610 570 680 670 560 A. Use α = .05 to test the claim that the...

The Graduate Management Admission Test (GMAT) is a test required for admission into many Master of...

The Graduate Management Admission Test (GMAT) is a test required for admission into many Master of Business Administration (MBA) programs. Total scores on the GMAT are normally distributed. The Graduate Management Admission Council, who administers the test, claims that the mean total score is 579. (Source: http://www.mba.com/.) Suppose a random sample of 8 students took the test, and their scores are given below. 699, 560, 414, 570, 521, 663, 727, 413 At the 0.05 level of significance, test the claim...

1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters...

1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Suppose a random sample of 8 students took the test, and their scores are given below. 699, 560, 414, 570, 521, 663, 727, 413 -Find a point estimate of the population mean -Construct and interpret a 95% confidence interval for the true mean score for the population. -How many students should be surveyed to estimate the mean score within...

1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters...

1. The Graduate Management Admission Test (GMAT) is a test required for admission into many masters of business administration (MBA) programs. Total scores on the GMAT are normally distributed and historically had a population standard deviation of 113. The Graduate Management Admission Council (GMAC), who administers the test, claims that the mean total score is 529. Suppose a random sample of 8 students took the test and their scores are given below: 699, 560, 414, 570, 521, 663, 727, 413...

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part...

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of 100 . a. What percentage of GMAT scores are 647 or higher? b. What percentage of GMAT scores are 747 or higher (to 1 decimal)? c. What percentage of GMAT...

Suppose that Raven studied for the Graduate Management Admission Test (GMAT) using a well-known preparation class...

Suppose that Raven studied for the Graduate Management Admission Test (GMAT) using a well-known preparation class and was thrilled to receive a total score of 770. Her friend Eric, however, thinks she would have scored just as well without the class. To test the efficacy of the class, they obtain a small but random sample of 19 test results from other students using the same class. This sample's average is 568.56 with a standard deviation of 116.72. In comparison, the...

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...

2. GMAT scores are required for admission to JHJ’s MBA program. GMAT scores are known to...

2. GMAT scores are required for admission to JHJ’s MBA program. GMAT scores are known to be normally distributed with a mean of 490 points and a standard deviation of 61 points. a. 25% of the scores of applicants are less than what score? b. 75% of the scores of applicants are less than what score? c. 25% of the scores of applicants are less than what score? d. 80% of the scores of applicants are more than what score?...

1. GMAT scores are required for admission to JHJ’s MBA program. GMAT scores are known to...

1. GMAT scores are required for admission to JHJ’s MBA program. GMAT scores are known to be normally distributed with a mean of 490 points and a standard deviation of 61 points. 25% of the scores of applicants are less than what score? 75% of the scores of applicants are less than what score? 25% of the scores of applicants are less than what score? 80% of the scores of applicants are more than what score? Only applicants in the...

Subjects