The scores on the Test for the herbology course at Hogwarts were normally distributed, and the...

The scores on the Test for the herbology course at Hogwarts were normally distributed, and the z scores for some of the students are shown below:

Harry: 1.10	Hermione: 1.70	Neville: -2.00
Ron: 0.00	Draco: -0.80	Luna: 1.60

If the mean score was μ=150 with standard deviation σ=20, what was the test score for each student? (matching)

___Harry. A.184

___Hermione B.182

___Neville C.110

___Ron D.134

___Draco E.172

___Luna F.150

Expert Solution

orchestra answered 1 year ago

. Suppose the scores on a chemistry test were normally distributed with a mean of 78...

. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. If a student who completed the test is chosen at random, Find the probability that the student earned fewer than 75 points. Find the probability that the student earned at least 70 points. Find the probability that the student earned between 80 and 90 points. Find the probability that the student earned either less than 80 points or...

For a certain standardized placement test, it was found that the scores were normally distributed, with...

For a certain standardized placement test, it was found that the scores were normally distributed, with a mean of 190 and a standard deviation of 30. Suppose that this test is given to 1000 students. (Recall that 34% of z-scores lie between 0 and 1, 13.5% lie between 1 and 2, and 2.5% are greater than 2.) (a) How many are expected to make scores between 160 and 220? (b) How many are expected to score above 250? (c) What...

In a recent year, the total scores for a certain standardized test were normally distributed, with...

In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.5. Answer parts (a)dash(d) below. (a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 489. The probability that a randomly selected medical student who took the test had a total score that was less than 489 is . 1474. (Round to four...

In recent years, the total scores for a certain standardized test were normally distributed, with a...

In recent years, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.3 Answer parts A-D below. Round to four decimal places as needed. Find the probability that a randomly selected medical student who took the test has a total score that was less than 493. The probability that randomly selected medical student who took the test had a total score that was less than 493 is [____]...

1500 test scores were normally distributed with a mean of 82 and a standard deviation of...

1500 test scores were normally distributed with a mean of 82 and a standard deviation of 7. How many people scored more than 90?

In a random sample of 100 college students, scores on a test were normally distributed with...

In a random sample of 100 college students, scores on a test were normally distributed with a mean of 80 points and standard deviation of 12 points. Use this scenario to answer the following questions: A. In this scenario, what is the point estimate? [2 points] B. Construct a 95% confidence interval to estimate the mean score in the population of all college students. Remember to show all work. Round your final answer to 3 decimal places. [4 points] C....

1. Suppose the scores on a chemistry test were normally distributed with a mean of 78...

1. Suppose the scores on a chemistry test were normally distributed with a mean of 78 and a standard deviation of 10. If a student who completed the test is chosen at random, a. Find the probability that the student earned fewer than 75 points. b. Find the probability that the student earned at least 70 points. c. Find the probability that the student earned between 80 and 90 points. d. Find the probability that the student earned either less...

Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a...

Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five students who recently took the exam are 570, 620, 710, 540 and 480. We want to find a 95% confidence interval of the population mean of SAT math scores. A) Calculate the point estimate. (Round to four decimal places as needed.) B) Calculate the sample standard deviation. (Round to four decimal places as needed.) C) Calculate the standard error...

1) The freshmen at state university took a biology test. The scores were distributed normally with...

1) The freshmen at state university took a biology test. The scores were distributed normally with a mean of 70 and a standard deviation of 5. a) What percentage of scores are between 65 and 75? b) What scores are between 60 and 85? c) What scores are greater than 80 ? 2) The juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard deviation of 4....

According to the college board, scores by women on the SAT-I test were normally distributed with...

According to the college board, scores by women on the SAT-I test were normally distributed with a mean of 998 and standard deviation of 202. Score by women on the ACT test are normally distributed with a mean of 20.9 and a standard deviation of 4.6. Assume that the two tests use different scales to measure the same aptitude a) If a woman gets an SAT-I score in the 67thh percentile, find her actual SAT-I score and her equivalent ACT...

Question