Question

In: Statistics and Probability

The scores on an anthropology exam are normally distributed with a mean of 76 and a...

The scores on an anthropology exam are normally distributed with a mean of 76 and a standard deviation of 5. Show your work step by step to receive full credit.

1) (6 points) The failing grade is anything 2.5 or more standard deviations below the mean. What is the cutoff for a failing score?

2) (6 points) If 3000 students took the exam, how many students failed? 3) (6 points) If 3000 students took the exam and the cutoff for an “A” grade is 90, how many students got an “A”?

Solutions

Expert Solution


Related Solutions

Suppose the scores of students on an exam are normally distributed with a mean of 340...
Suppose the scores of students on an exam are normally distributed with a mean of 340 and a standard deviation of 57. Then according to the Empirical Rule approximately 99.7 of the exam scores lie between the integers    and    .
Given the scores on a certain exam are normally distributed with a mean of 75 and...
Given the scores on a certain exam are normally distributed with a mean of 75 and a standard deviation of 5 a. Calculate the z-score for 80. Find the percentage of students with scores above 80 b. Calculate the z-score for 60. Find the percentage of students with scores below 60. c. Calculate the z-scores for 70 and 90. Find the percentage of students with scores between 70 and 90. d. What is the median? e. What test score value...
On a recent analytics survey, the scores were normally distributed, with a mean of 76 and...
On a recent analytics survey, the scores were normally distributed, with a mean of 76 and a standard deviation of 10. Letter grades for the survey were based on a classic scale, with 90-100 = A; 80-89 = B; 70-79 = C; 60-69 = D; below 69 = F. What percentage of the class would you expect to have earned an A?(a) What percentage of the class would you expect to have earned a B?(b) If you formed a sample...
A sample of final exam scores is normally distributed with a mean equal to 29 and...
A sample of final exam scores is normally distributed with a mean equal to 29 and a variance equal to 25. Part (a) What percentage of scores are between 24 and 34? (Round your answer to two decimal places.) Part (b) What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.) Part (c) What is the proportion below 23? (Round your answer to four decimal places.) Part (d) What is the...
A sample of final exam scores is normally distributed with a mean equal to 25 and...
A sample of final exam scores is normally distributed with a mean equal to 25 and a variance equal to 16. Part (a) What percentage of scares are between 21 and 29? (Round your answer to two decimal places) Part (b) What raw score is the cutiff for the top 10% of scores? (Round your answer to one decimal place) Part (c) What is the proportion below 20? (Round your answer to four decimal places) Part (d) What is the...
A set of exam scores is normally distributed with a mean = 82 and standard deviation...
A set of exam scores is normally distributed with a mean = 82 and standard deviation = 4. Use the Empirical Rule to complete the following sentences. 68% of the scores are between and . 95% of the scores are between and . 99.7% of the scores are between and . LicensePoints possible: 3 This is attempt 1 of 3.
A sample of final exam scores is normally distributed with a mean equal to 24 and...
A sample of final exam scores is normally distributed with a mean equal to 24 and a variance equal to 25. Part (a) What percentage of scores are between 19 and 29? (Round your answer to two decimal places.) % Part (b) What raw score is the cutoff for the top 10% of scores? (Round your answer to one decimal place.) Part (c) What is the proportion below 18? (Round your answer to four decimal places.) Part (d) What is...
A set of exam scores is normally distributed with a mean = 80 and standard deviation...
A set of exam scores is normally distributed with a mean = 80 and standard deviation = 8. Use the Empirical Rule to complete the following sentences. 68% of the scores are between  and . 95% of the scores are between  and . 99.7% of the scores are between  and . Get help: Video
2.) Scores on a national exam are normally distributed with a mean 500 and a standard...
2.) Scores on a national exam are normally distributed with a mean 500 and a standard deviation of 20. Find the score corresponding to the 70th percentile. use the table or excel. 3.) X is a binomial random variable with parameters n=5 and p= .5. Use the table to compute the probability indicated. P(x= 3). Round to four decimal places. 4.) A uniform distribution has a density curve that spans over the interval [3,7]. what height will the curve have...
Suppose scores on a college entrance exam are normally distributed with a mean of 550 and...
Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the score that marks the cut-off for the top 16% of the scores. Round to two decimal places. Question 5 options: 450.55 649.45 462.89 508.34 Question 6 (1 point) Suppose scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the cut-off scores that define the middle...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT