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 =
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 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. (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) =
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 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...
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.
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 =
(Normal distribution: Finding a raw score) Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 19. What is the minimum score needed to be in the top 10% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.
The standard deviation of test scores on a certain achievement test is 11.1. A random sample of 60 scores on this test had a mean of 75.4. Based on this sample, find a 95% confidence interval for the true mean of all scores. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. What is the lower limit of the 95% confidence interval? What is the upper limit...
(1 point) The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15. (a) Let x be a person's IQ score. Write the formula for the density function of IQ scores. p(x) = (b) Estimate the fraction of the population with IQ between 80 and 85. fraction =
Questiu IJU The scores of adults on an IQ test are approximately Normal with mean 100 and standard deviation 15. Clara scores 131 on such a test. What is her z-score? Enter your answer rounded to three decimal places. z-score =