The admission committee of AUCA passes 33% of those who took the exam. If the scores follow a normal distribution with a mean of 85 and a standard deviation of 9, what is the passing score?

Q: On a standardized test, scores are normally distributed with a mean of 400 and a standard deviation…

A: Given data,μ=400σ=80P(X<x)=80%=0.80x=?

Q: On a statistics exam, the mean score was 80 and there was a standard deviation of 7. If a student's…

A: Given data, μ=80σ=7If x=92z=?

Q: When Tallulah runs the 400 meter dash, her finishing times are normally distributed with a mean of…

A:

Q: A significant number of students completed a Statistics exam, and the final marks had a mean of 70…

A: Answer - A significant number of students completed a Statistics exam, and the final marks had a…

Q: What is the corresponding Z- score, mean is 110, standard deviation is 8 and x is 90

A: In question, We'll find the Z - score for mean 110, standard deviation 8 and x = 90. The solution is…

Q: In a sample of 152 people the average score was 74 with a standard deviation of 6. What is the…

A: Sample size = n = 152   Mean = 74  Standard deviation = 6

Q: On a standardized test with normal distribution, the mean is 85 and the standard deviation is 3.…

A: If 95% lies in the middle then (100-95)%=5% are on the two tails. So one tail has = 5%2=2.5%=0.025z…

Q: if heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard…

A:

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

A:

Q: The number of minutes spent reading in one day is normally distributed with a mean of μ = 23 and a…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…

Q: What does having a higher standard deviation means?

A:

Q: What is the mean of the distribution? What is the standard deviation of the distribution?

A: Given Mean1=30 Mean2=27 n1=41 n2=57

Q: According to a recent survey, the population distribution of number of years of  education for…

A: What is the standard error of mean?

Q: if an approxemitly  bell shaped distribution has a mean of 30 and standard deviation of 5, what…

A: Given that  X~N( μ = 30 , ? = 5 ) μ = 30 , ? = 5 Formula for Z-score Z-score =( x - μ )/?

Q: If the number of degrees of freedom for a chi-square distribution is 21, what is the population mean…

A: Given: Degree of freedom = 21

Q: If the height of 1000 students in a University Campus closely follows a normal distribution with a…

A:

Q: If the variance of a distribution is 16, the standard deviation is?

A: Solution: From the given information, the variance of a distribution is 16.

Q: The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal…

A: We have given that.   X~N( μ , ?^2 )   μ =350 , ? =25   Z-score =( x - μ )/?

Q: The combined math and verbal scores for students taking a national standardized examination for…

A: Given  mean of 670 and a standard deviation of 220.

Q: What is the standard deviation of the data?

A: We want to calculate standard deviation

Q: Scores on a recent national statistics exam were normally distributed with a mean of 80 and standard…

A: Obtain the standard z-score for X equals 89 The standard z-score for X equals 89 is obtained below:…

Q: A normal distribution has a mean of 62 and a standard deviation of 12. What is the median?

A:

Q: the mean weight of a group of boys is 145 lb, with a standard deviation of 4lb. if the weights are…

A:

Q: If the mean exam score of a class was 75%, with a standard deviation of 15%,what percent of students…

A: Given,mean(μ)=0.75standard deviation(σ)=0.15

Q: A study determined the average amount a person spends on candy during Halloween is $80 with a…

A: Here, μ=80 and σ=15

Q: A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard deviation of…

A: Given, A particular leg bone for dinosaur fossils has a mean length of 5 feet with a standard…

Q: Suppose the exam average in a class is 48% with a standard deviation of 15. What proportion of…

A:

Q: The scores on a marketing exam were normally distributed with a mean of 67 and a standard deviation…

A: Given data normally distributed with mean (μ) =67, standard deviation (σ) =9.Let ‘X’ be a normal…

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: The scores of students on an exam are normally distributed with a mean of 241 and a standard…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ) = 241 and…

Q: The mean score on the SAT in 2017 was 1060, and the standard deviation was 195. Assume the scores…

A: Given,  Mean μ=1060  Standard deviation σ=195Let x be score of a randomly selected person

Q: A normal distribution has a mean of 61 and a standard deviation of 15. What is the median?

A: Given, A normal distribution has mean of 61 and standard deviation of 15. Properties of normal…

Q: The students of a large university in Luzon were studied regarding their hours of sleep at night.…

A: As the distribution of the hours of sleep can be modeled as normal distribution with mean μ of 6.9…

Q: Define the term standard deviation?

A: Standard deviation: The standard deviation indicates by how much each observation differs from a…

Q: What is the lowest standard deviation value ?

A: Standard deviation; The standard deviation indicates by how much each observation differs from a…

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

A: Heights of adult men is Normally Distributed with mean 69.1 inches and standard deviation 2.68…

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: The height of men in the United states fits with a normal distribution with a mean of 70 inches and…

A:

Q: A standardized test has a mean of 50 and a standard deviation of 4. Which of the following is the…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: According to a marketing website, adults in a certain country average 51 minutes per day on mobile…

A: We are given,Mean = μ = 51Standard deviation = σ = 7Percentile = 80th

Q: The exam scores of 200 students are distributed normally with a mean of 72 and a standard deviation…

A: Total students = 200 Standard deviation = 10 And distribute mean = 72 We have to find the number of…

Q: The scores of 800 students in a 100-item exam resemble a normal distribution with a mean of 78 and a…

A: Let X be the random variable from Normal distribution with mean (µ) = 78, standard deviation (σ) = 8…

Q: In a normal distribution with a mean of 72 and a standard deviation of 12, what percentage of cases…

A: GivenMean(μ)=72standard deviation(σ)=12

Q: The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation…

A:

Q: The average score on the verbal portion of the college entrance exam is 453, with a standard…

A: From the provided information, Sample size (n) = 137 Sample mean (x̅) = 502 Population standard…

Q: The gas mileage for a new model of car is normally​ distributed, with a standard deviation of 3.5…

A: The normal distribution: A continuous random variable X is said to follow normal distribution with…

Q: If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12,…

A: It is given that the mean is 70 and the standard deviation is 12.

Q: Based on the relationship between the mean, standard deviation, and minimum time, is it reasonable…

A: HERE WE CAN USE THAT minimum value is approx 3 times standard deviation away from mean.