The admission committee of AUCA passes 61% of those who took the exam. If the scores follow a normal distribution with the mean of 350 and a standard deviation of 25, 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: When Tallulah runs the 400 meter dash, her finishing times are normally distributed with a mean of…

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: 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: The mean for a data set is 75, the standard deviation is 4, and the z score is -0.19, what is the…

A: We have given that,  From the normal distribution with mean (mu) = 75 and standard deviation (sigma)…

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

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

Q: If a distribution has a mean of 50 and a standard deviation of 5, what value would be -1 standard…

A: Given, μ=50σ=5z=-1x=?

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: 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 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: What is the difference between what the z score measures and what the standard deviation measure?

A: z score is standard score and the formula for finding z score is,

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: The provided information is:

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: 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: For a sample of 18 cars, you find the standard deviation of the price is 6150. What is the standard…

A: Given: Sample size=n=18,Standard deviation=σ=6150.

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: For a distribution with a mean of 70, if the distribution had a standard deviation of 4, would a…

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

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 Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20.…

A:

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: When a distribution is bell-shaped, approximately what percentage of data values fall within 1…

A: We know that, the empirical rule which is also known as 68-95-99.7 rule.  The Empirical Rule finds…

Q: The mean height of a population of men is 70.8 inches and the standard deviation is 3.2 inches. What…

A:

Q: According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow…

A: As per Bartleby guideline expert have to answer first question only dear student please upload other…

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: At a college, the mean height of women is 63 inches with the standard deviation of 3 inches. What is…

A: Given,mean(μ)=63standard deviation(σ)=3

Q: If the range of a data set is 64, find the approximate value of the standard deviation, using the…

A: Given information- Range = 64 We have to find the approximate value of the standard deviation using…

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: 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: What is the z-score if our standard deviation was 2, mean of 49 and our specific observation is 47?

A: Given: Standard deviation = 2 Mean= 49 Specific observation =47 Determine the Z- score using the…

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: According to the Department of Education the mean number of hours college students spend studying…

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: 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: The mean height of male college students in a large city is 68 inches and the standard deviation is…

A: Answer:----.                       Date:----10/10/2021

Q: If the foot length of women follows a normal distribution and 95% of women have a foot length…

A: Given data: If the foot length of women follows a normal distribution 95% of women have a foot…

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

A:

Q: If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what is…

A: The mean is 100 and the standard deviation is 15.