The scores on a certain test can be modeled by a normal random variable with mean...
The scores on a certain test can be modeled by a normal random variable with mean μ=77 and standard deviation σ=10. What is the lowest score that a test-taker can achieve and still be in the top 10%? (Round your answer to three decimal places.)
Lowest score =
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The scores on a certain test can be modeled by a normal random
variable with mean...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ=553.3 and standard deviation σ=28.6.Round z-scores to 2 decimal places and give probabilities to 4 decimal places. (a) What is the probability that a single student randomly chosen from all those taking the test scores 558 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 30 students who took the test. (b) What...
Answer the question for a normal random variable x with mean u and standard deviation o specified below
Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(1.00<x< 1.10). P(1.00<x< 1.10) = Answer the question for a normal random variable x with mean u and standard deviation o specified below. (Round your answer to four decimal places.) μ = 1.3 and σ = 0.16. Find P(x >1.35). P(x > 1.35) =
X is a normal random variable with mean μ and standard deviation σ. Then P( μ−...
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.6 σ ≤ X ≤ μ+ 2.6 σ) =? Answer to 4 decimal places.
The population of scores from a standardized test forms a normal distribution with a mean of...
The population of scores from a standardized test forms a normal distribution with a mean of μ = 450 and a standard deviation of σ = 50. The average test score is calculated for a sample of n = 26 students. (a) What is the probability that the sample mean will be greater than M = 467? In symbols, what is p(M > 467)? (Round your answer to four decimal places.) (b) What is the probability that the sample mean...
The population of scores from a standardized test forms a normal distribution with a mean of...
The population of scores from a standardized test forms a normal distribution with a mean of μ = 450 and a standard deviation of σ = 50. The average test score is calculated for a sample of n = 26 students. (a) What is the probability that the sample mean will be greater than M = 467? In symbols, what is p(M > 467)? (Round your answer to four decimal places.) (b) What is the probability that the sample mean...
The scores of students on the SAT college entrance examinations at a certain high school had...
The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean μ = 547.9 and standard deviation σ = 25.5 . (If necessary, round answers below to at least four decimal places.) (a) What is the probability that a single student randomly chosen from all those taking the test scores 551 or higher? ANSWER:____ For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took...
X is a normal random variable with mean μ and standard deviation σ. Then P( μ−...
X is a normal random variable with mean μ and standard deviation σ. Then P( μ− 1.7 σ ≤ X ≤ μ+ 2.9 σ) =? Answer to 4 decimal places. (this is all the data I was given)
STUDENTS TAKE A STATISTICS TEST. THE GRADE DISTRIBUTION IS NORMAL WITH A MEAN OF 70, AND...
STUDENTS TAKE A STATISTICS TEST. THE GRADE DISTRIBUTION IS NORMAL WITH A MEAN OF 70, AND A STANDARD DEVIATION OF 6. (a) ANYONE WHO SCORES IN THE TOP 20% OF THE DISTRIBUTION GETS A GRADE OF “A” OR “B” WHAT IS THE LOWEST SCORE SOMEONE CAN GET AND STILL GET A “B”? (b) THE BOTTOM 20% GET A “D” OR “F”. WHAT IS THE LOWEST SCORE THAT STILL PASSES WITH THE “C” ?
Let z be a standard normal random variable with mean μ = 0 and standard deviation...
Let z be a standard normal random variable with mean μ = 0 and standard deviation σ = 1. Find the value c that satisfies the inequality. (Round your answer to two decimal places.) P(z > c) = 0.0244
Suppose X is a normal random variable with mean μ = 100 and standard deviation σ...
Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10. Find a such that P(X ≥ a) = 0.04. (Round your answer to one decimal place.) a =
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