for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 112. Note: Please round z-scores to 3 decimal places and give probabilities to at least 4 decimal places. (a) If 11 man is randomly selected, find the probability that his score is at least 581.5 (b) If 17 men are randomly selected, find the probability that their mean score is at least 581.5

Q: requirements. What is the probability that a student selected at random from this school earn…

A: It is given that  Mean, μ = 1473 Standard deviation, σ = 300 Z-Score, Z = ( X - μ )/σ

Q: A particular fruit's weights are normally distributed, with a mean of 513 grams and a standard…

A: The population mean is 513. The population standard deviation is 18. The sample size is 22. We have…

Q: Melissa Johnson runs the mile for her track team. She has averaged a time of 5 minutes, 30 seconds…

A:

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Given,Mean, μ =243.2 cmStandard deviation, σ = 1.6 cmSample size, n = 20Let X be a random variable…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Unusual value: The Z-value is said to be Unusual if the Z is greater than 2 or less than –2. From…

Q: The IQ scores of adults are normally distributed with a mean of 100 and a standard deviation of 15.…

A:

Q: A soft drink machine outputs a made of 28 ounces per cup. The machines output is normally…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Scores on a history test have average of 55 with standard deviation of 10. What is the probability a…

A:

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Given data,μ=180000σ=39000

Q: If the scores follow normal distribution with a mean of 120, a standard deviation of 10, find…

A: Solution

Q: When Noah goes bowling, his scores are normally distributed with a mean of 135 and a standard…

A: Let X be the Noah goes bowling, his scores are normally distributed  mean μ=135, standard deviations…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Consider a random variable X that denotes the test scores. Therefore , X~Nμ=1527,σ=315

Q: he time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: Given Data: μ=4.9σ=1.9   Using central limit theorem ∑X ~ Normal (n×μ, n×σ2)∑X ~ Normal (269.5,…

Q: The combined SAT scores for the students at a local high school are normally distributed with a mean…

A: Answer: From the given data, Let X: Combined SAT scores Mean (μ) = 1487 Standard deviation (σ) = 307

Q: The average time it takes a music producer to complete a recording of a pop song is 53.4 minutes.…

A: Let X be the random variable from normal distribution with mean (μ) = 53.4, variance (σ2) = 49 the…

Q: The mean score on a physics test is 75% with standard deviation 6.5%. Suppose that the scores in the…

A: The problem provides us with the following values:Mean (μ) = 75%Standard deviation (σ) = 6.5%Score…

Q: The mean of a test is 400 and the standard deviation is 75. It is normally distributed. A sample of…

A: 1] Mean μ=400 2] standard deviation σ=75 3] n=25 4] μx¯=400σx¯=σn=7525=15

Q: 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume the…

A: (5) X follows a Normal distribution with mean = 6.5 and S.D = 2.3 Then z=(x-mean)/SD =…

Q: A​ bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean…

A: It is given that the ratings are normally distributed with mean 200 miles and standard deviation 50.

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Let  be the percent of fat calories that a person in America consumes each day.The random variable…

Q: 2000 freshmen at state university took a biology test. the scores were normally distributed with a…

A: Solution: Let X be the scores. From the given information, X follows normal distribution with mean…

Q: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

A: In a recent year, grade 7 Maryland State public school students taking a mathematics assessment test…

Q: res light bulbs that have a length of life that is normally distributed with mean equal to 821 hours…

A:

Q: Otto is trying out for the javelin throw to compete in the Olympics. The lengths of his javelin…

A:

Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…

A: From the provided information, The probability that a randomly chosen student in a statistics class…

Q: The mean score on a physics test is 75% with standard deviation 6.5%. Suppose that the scores in the…

A: The problem provides us with the following values:Mean (μ) = 75%Standard deviation (σ) = 6.5%Score…

Q: The life of light bulbs is distributed normally. The mean life time of a bulb is 520 hours and the…

A: Answer: Using the given data, Let X represent the life time of a light bulb X follows normal…

Q: A student scores 80 in math which has a mean of 70 and standard deviation of 10. He also scores 85…

A: GivenStudent scores 80 in math with Mean(μ)=70standard deviation(σ)=10student scores 85 in english…

Q: A soft drink machine outputs a mean of 26 ounces per cup. The machine's output is normally…

A: From the provided information,

Q: For the students in a school for gifted children, scores of IQ test are normally distributed with a…

A: Given,sample size(n)=36 mean(μ)=114standard deviation(σ)=18

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: It is given that Mean of test scores = 1537 And SD = 315

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: a study of 850 homeowners in a certain area showed that the average value of the homes was $83,000,…

A: Answer: From the given data, Mean (μ) = 83000 Standard deviation(σ) = 5100 Sample size(n) = 45 X…

Q: The weights of the U.S. female athletes at the 2016 Olympics are normally distributed with a mean of…

A: We have give that normally distributed with mean 147, standard deviation

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: The following information has been provided: Let X be random variable represents the standardized…

Q: He found that the table stated his probability as 0.1131. Determine whether Alex made an error in…

A: Let X be the random variable that Alex's home run hitting distance.Given that,

Q: Assume that adults have IQ scores that are normally distributed with a mean of 99.9 and a standard…

A: Given that, Mean = 99.9 Standard deviation = 24.5

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Let "X" be the exam scores.

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the…

A: Solution Give  Χ be the random variable representing the time it takes her to complete one review…